IPNet Digest Volume 4, Number 11 November 30, 1997 Today's Editors: Patricia K. Lamm and Aaron C. Cinzori Michigan State University Today's Topics: Workshop: British One-Day Workshop on Inverse Problems Conference: Bayesian Inference for Inverse Problems Conference: Dynamic System Identification and Inverse Problems New Book: Gabor Analysis and Algorithms Survey: Long Precision Arithmetic Position: Post-doctoral Researchers in Inverse Problems Position: Tenure Track Position at UMBC Position: Post-doctoral Researchers in Differential Eqns. (ECMI) Position: Fellowships at Intelligent System Modeling and Control Position: Assistantship at University of Graz, Austria Table of Contents: Inverse Problems Table of Contents: Surveys on Mathematics for Industry Table of Contents: Mathematics of Control, Signals, and Systems Table of Contents: Linear Algebra and Its Applications Submissions for IPNet Digest: Mail to ipnet-digest@math.msu.edu Information about IPNet: Mail to ipnet-request@math.msu.edu http://www.mth.msu.edu/ipnet ------------------------------ From: Dr Bill Lionheart Subject: British one-day workshop Date: Mon, 10 Nov 1997 The next British One-Day Workshop on Inverse Problems will be on Monday Feb 23rd 1998 at Oxford Brookes University. For further information see our web site http://www.brookes.ac.uk/~p0054865/ukipws/ukipws.html or contact Dr Bill Lionheart at wrblionheart@brookes.ac.uk ------------------------------ From: adjafari@mars.ee.nd.edu (Ali Djafari) Subject: Conference: "Bayesian inference for inverse problems" Date: Wed, 19 Nov 97 Dear IPNET readers, I am organizing a conference "Bayesian inference for inverse problems" in San Diego next summer (SPIE 98, Mathematical Imaging, July 19-24, 1998). You find all the information at: http://www.spie.org/web/meetings/calls/sd98/conf/sd99.html If possible, please distributee this information to anybody interested. Thanks. Ali Mohammad-Djafari Tel: 219-631-8015 Dept. of Electrical Eng. Fax: 219-631-4393 Notre Dame University E-mail: Ali.Djafari.1@nd.edu Notre Dame, IN 46556, USA ------------------------------ From: "Dmitry Pieson" Subject: Conf: Dynamic System Identification & Inverse Problems Date: Mon, 24 Nov 1997 Dear Colleagues, Below please find the Call for Papers of the Third International Conference DYNAMIC SYSTEM IDENTIFICATION AND INVERSE PROBLEMS, to be held in Russia, during May 30 - June 5, 1998, and its attachments. On behalf of Organizing Committee Sincerely yours Oleg M. Alifanov, Ph.D., Dr.Sc. Professor of Mechanical Engineering Dean of Aerospace College Moscow Aviation Institute 4 Volokolamskoe Sh. Moscow, 125871, Russia Tel: 7(095)1585865, Fax: 7(095)1585126 .. FIRST CALL FOR PAPERS Third International Conference DYNAMIC SYSTEM IDENTIFICATION AND INVERSE PROBLEMS 30 May -5 June 1998 Boat cruise Moscow-St.Petersburg, RUSSIA Organized by: Russian Scientific Society "Inverse problems in Engineering" Moscow State Aviation Institute (MAI) Moscow State University (MGU) Moscow State Technical University (MGTU) International Center for Advanced Studies "Cosmos" Sponsoring Organizations: Ministry of Education of Russia Ministry of Science and Technology of Russia Russian Basic Research Foundation Objectives: Following the successful first and second conferences in this series (held in Suzdal, Russia, in 1990, and in St.Petersburg, Russia, in 1994) the aim of this third international conference on Dynamic System Identification and Inverse Problems is to bring together the scientists and engineers involved in inverse problems research and to provide a relaxed atmosphere for in-depth discussion of the types of inverse problems and optimal experiment design problems which occur in engineering practice. The identification problems dealing with unknown boundary and initial conditions, sizes and shapes of domains, physical properties of the media, governing systems of equations, and internal and boundary sources in the multidisciplinary fields involving thermodynamics, heat transfer, fluid mechanics, strength of materials, structural dynamics, electro-magnetics, and nuclear systems are all of interest and are welcome at this conference. Methods of interest include also efficient and robust numerical techniques (including optimization) that are being applied to cope with a wide variety of identifications problems. The behavior of numerical algorithms for the solution of these extremely conditioned problems and their critical evaluation by comparison with experiments or established benchmarks are highly desired. The conference is of importance to all scientists and engineers who are actively involved in developing innovative theoretical approaches as well as in solving practical industrial problems. The Inter national Scientific Advisory Committee members anticipate that the conference will point out new directions in the identification of mathematical models of dynamic processes. Conference Themes: The topics listed below should give only a general guideline for possible contributions. Papers on other topics will also be considered if they fall within the objectives of the conference. Heat Conduction Thermal Radiation Diffusion-Convection Thermal Processes in Porous Media Thermal Processes in Composites Phase Change Processes Fire and Combustion Thermal Stability Vibrations and Structural Dynamics Acustics Electromagnetics Materials Processing Elasticity, Thermoelasticity, and Elasto-Plasticity Tomography and Inverse Scattering Gas-Liquid Flows Nuclear Transport Optimal Experiments Design Process Design and Optimization Analysis of Experimental Data, Signal and Noise Processing. Time Schedule: As soon as possible --- Return the reply form by FAX or E-mail. December 10, 1997 --- Submit abstracts (300 words) to the Secretariat by FAX or E-mail. January 15, 1998 --- Preliminary acceptance notification to authors. February 15, 1998 --- Submit three copies of the full paper to the Secretariat for review. April 1, 1998 --- Final acceptance notification to authors. May 1, 1998 --- Submit final camera-ready version of the full paper for the book of proceedings. [Note: This news item has been edited for length. You may obtain the full text (including inquiry form, costs, scientific committee, etc.) by visiting the "IPNet Digest Appendices" link off the main IPNet home page http://www.mth.msu.edu/ipnet/ or else by sending an e-mail message to ipnet-request@math.msu.edu with the words send Russia_Conf_98 in the BODY (not subject) of the message. -Ed.] ------------------------------ From: Thomas Strohmer Subject: Book: Gabor Analysis and Algorithms Date: Sat, 29 Nov 1997 Announcement of New Book GABOR ANALYSIS AND ALGORITHMS Theory and Applications Edited by H.G. Feichtinger and T. Strohmer ISBN 0-8176-3959-4 * 1997 * $64.95 * Hardcover * 500 pages * available from Birkaeuser - Boston, http://www.birkhauser.com The field's leading international experts have come together to give a detailed survey of the theory of Gabor analysis, a method of time-frequency analysis and its applications in signal and image processing. This book is a collection of surveys thematically organized, showing the connections and interactions between theory, numerical algorithms, and applications. It gives an overview of the different branches of Gabor analysis, and contains many original results which are published for the first time. The book provides an introduction to mathematicians and engineers who want to learn about the different approaches and aspects of Gabor analysis or want to apply Gabor-based techniques to tasks in signal and image processing. It is an especially useful reference for research specialists in harmonic analysis, applied mathematics, numerical analysis, engineering, signal and image processing, optics, and pattern recognition. Contents: Foreword/Ingrid Daubechies Introduction/H.G. Feichtinger & T. Strohmer 1. The duality condition for Weyl-Heisenberg frames /A.J.E.M. Janssen 2. Gabor systems and the Balian-Low Theorem/J.J. Benedetto, C. Heil & D.F. Walnut 3. A Banach space of test functions for Gabor analysis/ H.G. Feichtinger & G. Zimmermann 4. Pseudodifferential operators, Gabor frames, and local trigonometric bases/ R. Rochberg & K. Tachizawa 5. Perturbation of frames and applications to Gabor frames/O.Christensen 6. Aspects of Gabor analysis on locally compact abelian groups/ K. Groechenig 7. Quantization of TF lattice-invariant operators on elementary LCA groups/H.G. Feichtinger & W. Kozek 8. Numerical algorithms for discrete Gabor expansions/T.Strohmer 9. Oversampled modulated filter banks/ H. Boelcskei & F. Hlawatsch 10. Adaptation of Weyl-Heisenberg frames to underspread environments/W.Kozek 11. Gabor representation and signal detection/ A. Zeira & B. Friedlander 12. Multi-window Gabor schemes in signal and image representations/Y.Y. Zeevi, M. Zibulski & M. Porat 13. Gabor kernels for affine-invariant object recognition/ J. Ben-Arie & Z. Wang 14. Gabor's signal expansion in optics/M.J. Bastiaans Extensive Bibliography Email: fei@tyche.mat.univie.ac.at strohmer@tyche.mat.univie.ac.at ------------------------------ From: "Larry Widigen" Subject: Long Precision Arithmetic Date: Wed, 26 Nov 1997 Dear Colleague: You can help determine whether a microprocessor should be designed to solve one our our most pressing problems regarding precision and accuracy. Precision and accuracy impact algorithm robustness in many areas such as Computational Algebra, Computational Biochemistry, Computational Geometry, etc. Please take a moment to respond to this short survey. Your response will help immensely in determining how critical is the need for hardware support for long precision computation. Your reply will be held in confidence, but the tabulated results of the survey will be sent to you if you indicate so on the survey form. Please reply to bignum@cwia.com as early as possible but not later than January 15, 1998. Sincerely, Larry Widigen Chee Yap, Professor bignum@cwia.com Courant Institute 408-449-9171 New York University [Note: The survey form has been deleted for reasons of length. To obtain a copy of the survey form, visit the "IPNet Digest Appendices" link off the main IPNet home page (see above) or else send an e-mail message to ipnet-request@math.msu.edu with the words send long_precision_survey in the BODY (not subject) of the message. -Ed.] ------------------------------ From: Dr Bill Lionheart Subject: Post-doctoral and post-graduate positions Date: Mon, 10 Nov 1997 The School of Computing and Mathematical Sciences at Oxford Brookes University, UK has post-doctoral and post-graduate research opportinities for Applied Mathematicians, especially those interested in Inverse Problems. See our web pages at http://www.brookes.ac.uk/cms/home.html or contact Prof MK Pidcock: mkpidcock@brookes.ac.uk. ------------------------------ From: "Dr. Thomas Seidman" Subject: tenure track position at UMBC Date: Thu, 30 Oct 1997 The Department of Mathematics and Statistics at the University of Maryland Baltimore County (UMBC) has a tenure-track opening at the assistant professor level in applied mathematics beginning Fall 1998. The candidate should have an earned doctorate in mathematics or a related field and be able to interact with one or more of the department's existing groups in optimization, numerical analysis, PDEs and systems theory. The applicant should have an active, independent research program and strong potential for obtaining external funding. The department offers BS, MS and PhD degrees in applied mathematics and statistics. Please refer to the web page http://www.math.umbc.edu for more information. Send resume, a summary of current research, and three letters of reference to: Applied Math Recruiting Committee, Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD 21250. The review of the received applications will begin in January 1998. UMBC is an AA/EOE. ------------------------------ From: "PROF.HEINZ W. ENGL" Subject: announcement postdoc positions Date: Sun, 02 Nov 1997 Below, you find the official advertisment for postdoc positions in a TMR network administered by ECMI, the European Consortium for Mathematics in Industry. Heinz W. Engl Linz, Austria ********************* ECMI Research Fellowships 1998 TMR Network: Differential Equations in Industry and Commerce Applications are invited from post-doctoral researchers to participate in the new "Training and Mobility in Research" network entitled "Differential Equations in Industry and Commerce" (DEIC). This network (which is still subject to contract negotiations) is a successor to the HCM network "Mathematics as an Industrial Resource", which, like DEIC, was organized by the European Consortium for Mathematics in Industry (ECMI). Experience with the earlier network has enabled ECMI to target two research areas as being of timely industrial relevance and also offering interesting possibilities for theoretical development. These are (1) deterministic differential equations of parabolic or mixed types with applications to glass, steel and polymer manufacture, and to coating industries and (2) stochastic differential equations applied to finance, risk, polymeric microstructures and aerospace technology. DEIC will be supervised by ECMI's research committee and it will link centres at Eindhoven, Kaiserslautern, Linz, Milan, Strathclyde and Oxford. All these centres have expertise in the two strands of the research theme and the principal objective will be to expand this research base by appointing six Research Fellows, one in each centre, starting sometime in 1998 and with a duration of up to 3 years. These fellows will be trained in applied mathematics or numerical analysis but, as with the HCM network, each fellow will be expected to spend much time collaborating directly with industry and with other centres, as well as pursuing his/her own research. Hence preference will be given to applicants who have an aptitude for finding industrial and commercial problems that are susceptible to innovative mathematics in either research strand and who will help to build up the cache of researchers working in this style in Europe. The Research Fellowships are open to Nationals of a Member State or Associated State of the European Union who have the equivalent of a doctoral degree in mathematical science and will be under the age of 35 at the time of appointment. The fellowships may NOT be held in the country of which the fellow has nationality. Salary is in local currency on the appropriate local scale and social security, working facilities and travel allowances will be the responsibility of the host centre, following EC guidelines and approval by the network. Further details and an application form may be obtained from Adrienne Hart-Davis Mathematical Institute 24-29 St Giles' Oxford OX1 3LB UK email ociam@maths.ox.ac.uk or from the World Wide Web http://www.maths.ox.ac.uk/ociam Closing date December 7th 1997 ------------------------------ From: Bart Motmans Subject: Marie Curie Fellows Date: Thu, 13 Nov 1997 Looking for Marie Curie Fellows ISMC nv, Intelligent System Modeling and Control, a spin off company of K.U. Leuven - Dept. of Electrical Engineering (ESAT)-SISTA, (see http://www.ismc.be) is looking for Marie Curie fellows (under the EC-TMR programme). Some information about the grants in general (for details : http://www.cordis.lu/tmr/src/grants1.htm) : The purpose of the grant is to enable researchers to acquire fresh knowledge in a new field or a deeper knowledge and a wider competence in their own scientific area. There are 4 categories of grants: two for training (postgraduate and postdoctoral), grants for established researchers and return grants. We're looking for grant holders in the training categories. The age limit is 35 years (with allowance for military service and child care), and the duration is between 6 and max. 24 (postdoctoral) or 36 (postgraduate) months. Qualifications : university (or equivalent) degree, allowing holder to embark directly on a PhD (or equivalent) for postgraduate, a PhD (or equivalent) or 4 years' full-time research at post-graduate level for the postdoctoral grant. The proposal form has to be completed by the grantholder, with parts to be filled out by the host institution. The deadline is 15/12/97. If you're interested, don't hesitate (because to the deadline is quite close!) to contact Bart Motmans Research and Project Coordinator K.U.Leuven - Dept. of Electrical Engineering (ESAT) Research Group SISTA Kard. Mercierlaan 94 B-3001 Leuven, Belgium Tel. +32-(0)16-32 18 04 Fax +32-(0)16-32 19 70 bart.motmans@esat.kuleuven.ac.be http://www.esat.kuleuven.ac.be/sista/ [Note: The message has been edited for reasons of length. To obtain a copy of the original message, visit the "IPNet Digest Appendices" link off the main IPNet home page (see above) or else send an e-mail message to ipnet-request@math.msu.edu with the words send Marie_Curie_Fellows in the BODY (not subject) of the message. -Ed.] ------------------------------ From: "Dr.Kunisch" Subject: Open position Date: Wed, 26 Nov 1997 ******************************************************* ANNOUNCEMENT FOR HALF-TIME ASSISTENTSHIP POSITION IN APPLIED MATHEMTICS AT THE INSTITUTE OF MATHEMATICS AT THE UNIVERSITY OF GRAZ, AUSTRIA. ******************************************************* At the Institute of Mathematics of the University of Graz, Austria, a half-time assistentship (Vertragsassisent) position can be filled, presumably by January 1, 1998. The applicant must have a degree in mathematics. She or he should have experience in numerical mathematics, partial differential equations, the UNIX and DOS operating systems. Applications should be sent to Dekant der Naturwissenschaftlichen Fakultaet Karl-Franzens Universitaet Graz Universitaetsplatz 3 A-8010 Graz, Austria. The deadline for applications is December 24, 1997. Applicants should be citizens of an EU-member state. It is planned that the research activities of the successful candidate are integrated into the "Spezialforschungsbereich Optimierung und Kontrolle", a research block grant that combines applied mathematicians and practitioners. Additional financial support through the Spezialforschungsbereich may be possible and will depend on the level of experience of the applicant. In case of question please contact Prof. Karl Kunisch at the address given below. Prof. Karl Kunisch | Email karl.kunisch@kfunigraz.ac.at Institut fuer Mathematik | Phone 43-(0)316 380-5162 University of Graz | Fax 43-(0)316 380-9815 Heinrichstrasse 36 | A-8010 Graz, Austria http://www.kfunigraz.ac.at/imawww/invcon/index.html ------------------------------ From: Janet Thomas Subject: Contents of Inverse Problems Date: Thu, 13 Nov 1997 Inverse Problems December 1997 Volume 13, Issue 6 Table of Contents TOPICAL REVIEW New situation in quantum mechanics (wonderful potentials from the inverse problem) B N Zhakhariev and V M Chabanov PAPERS An observation about radar imaging of re-entrant structures with implications for automatic target recognition B Borden A uniqueness theorem for inverse eigenparameter dependent Sturm-Liouville problems P J Browne and B D Sleeman Multicomponent equations associated to non-isospectral scattering problems P A Clarkson, P R Gordoa and A Pickering A simple method using Morozov's discrepancy principle for solving inverse scattering problems D Colton, M Piana and R Potthast The multidimensional Gel'fand inverse problem for non-self-adjoint operators Y V Kurylev and M Lassas The impedance imaging problem as a low-frequency limit M Lassas Implications of a reconstruction formula for rotational therapy in treatment planning optimization L Papiez and M Ringor An inverse problem in petroleum exploitation Y-J Peng On the local minima problem in conductivity imaging via a quadratic approach R Pierri and A Tamburrino On a regularized inverse problem of the multidimensional plasma-wave equation H Song and A Zegeling Inverse heat conduction based on boundary measurement M Tadi A contrast source inversion method P M van den Berg and R E Kleinman Subsurface imaging with broadband electromagnetic induction A Witten, I J Won and S J Norton A method with error estimates for band-limited signal extrapolation from inaccurate data X-G Xia and M Z Nashed INVERSE PROBLEMS NEWSLETTER For further information on Inverse Problems, and all Institute of Physics Publishing journals and electronic products see http://www.iop.org Submitted by: Janet Thomas, Production Editor Institute of Physics Publishing Dirac House, Temple Back, Bristol BS1 6BE, UK Tel: +44 (0)117 930 1081 Fax: +44 (0)117 929 4318 E-mail: janet.thomas@ioppublishing.co.uk WWW: http://www.iop.org ------------------------------ From: "PROF.HEINZ W. ENGL" Subject: Surveys on Mathematics for Industry Date: Mon, 03 Nov 1997 Surveys on Mathematics for Industry Volume 7 Number 2 Table of Contents Analysis of coupled heat-mass transport in freezing porous media F. Talamucci Numerical parameter estimation in a kinetic model of coal pyrolysis T. Lohmann Submitted by: Prof.Dr.Heinz W. Engl E-Mail: engl@indmath.uni-linz.ac.at Institut fuer Industriemathematik secretary:nikolaus@indmath.uni-linz.ac.at Johannes-Kepler-Universitaet Phone:+43-(0)732-2468...,ext.9219 or 693, Altenbergerstrasse 69 secretary: ext.9220; as Dean: ext.3220 A-4040 Linz Fax:ext. 855, in Dean's affairs:ext.3225 Oesterreich / Austria home phone: +43-(0)732-245518 World Wide Web: http://www.indmath.uni-linz.ac.at/ ------------------------------ From: Secretary Support - Magrijn Subject: Journal MCSS Date: Fri, 14 Nov 1997 Mathematics of Control, Signals, and Systems 1997 Vol. 10, No. 2 Table of Contents Limits of generalized state space systems under proportional and derivative feedback D. Hinrichsen and J. O'Halloran Rational representations of behaviors: Interconnectability and stabilizability S. Weiland and A. Stoorvogel Interpolation with multiple norm constraints R.K. Prasanth and M.A. Rotea Universal controllers for robust control problems S. Battillotti INFORMATION Information on MCSS including tables of contents is available at its home pages: - - - http://www.cwi.nl/~schuppen/mcss/mcss.html - - - http://www.math.rutgers.edu/~sontag/mcss.html Address for submissions: J.H. van Schuppen (Co-Editor MCSS) CWI P.O.Box 94079 1090 Gb Amsterdam The Netherlands Bradley Dickinson, Eduardo Sontag, Jan van Schuppen (Editors) Contributed by Jan H. van Schuppen (J.H.van.Schuppen@cwi.nl) ------------------------------ From: Hans Schneider Subject: Linear Algebra and Its Applications, Vols 269, 270, 271 Date: Thu, 6 Nov 1997 Linear Algebra and Its Applications November 1997 Vol. 269/01-3 Table of Contents Comparison Theorems For A Class Of Parallel Multisplitting AOR Type Iterative Methods W Xinmin Structure of Bernstein Populations of type (3, n-3) JCG Fernandez Characterization of Jordan homomorphisms on Mn using preserving properties Petek On the extreme points of the majorization polytope 3(y x) Cheon Linear operators strongly preserving matrices whose sign-patterns require the Perron property SG Lee Operator blocks and quadruples of subspaces: classification and the eigenvalue completion problem Gohberg, MA Kaashoek On Whittaker function of matrix argument AM Mathai An analytical characterization of both effective and irreducible groups inducing cone orderings M Niezgoda A local characterization of observability W Kratz Matrix extension and biorthogonal multiwavelet construction SS Goh Eigenvalue-constrained faces AS Lewis New interpretation of related Huang's methods Bellalij, H Sadok On the Delsarte inequalities Ashikhmin, J Simonis On K-EP matrices AR Meenakshi Majorizations of Hadamard products of matrix powers G Visick Linear preservers on triangular matrices WL Chooi Algebra norms on tensor products of algebras, and the norm extension problem AM Galindo A singular vlaue decomposition of a k-ways array for a principal components analysis of multi-way data, the PTA-kmodes D Leibovici Extreme of sums of heterogenous quadratic forms G Michaletzky ***************** Linear Algebra and Its Applications November 1997 Vol. 270/01-3 Table of Contents Bounds On Eigenvalues And Chromatic Numbers D Cao Spectra of Multilevel Toeplitz Matrices: Advanced Theory via Simple Matrix Relationships EE Tyrtyshnikov Eigenvalue inequalities and equalities Horn Generalized Cauchy-Vandemonde matrices Heinig A sorted partial Jacobi Method and its convergence analysis H Zha On the extreme eigenvalues of Hermitian (block) Toeplitz matrices S Serra Real perturbation values and real quadratic forms in a complex vector space B Bernhardsson Actions that characterize B Chalmers A refined iterative algorithm based on the block Arnoldi process for large unsymmetric eigenproblems Zhongxiao Jia Mixed Dominating Matrices Walter Morris Matrix Analysis and the Friedrichs Operator of a Quadrature Domain Mihai Putinar Locally Polyhedral Linear Inequality Systems Miguela Goberna Finite Metric Spaces of Strictly Negative Type Poulg Hjorth A stronger extention of the hardy inequality LH Wang Relationships between discrete-time and continuous-time algebraic Riccati inequalities YS Hung A relative perturbation bound for positive definite matrices Mathias, K Veselic Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils CK Li Non negative elements of subgroups of Zn JC Rosales ***************** Linear Algebra and Its Applications December 1997 Vol. 271/01-03 Table of Contents Tangent spaces of rational matrix functions Helmke, PA Fuhrmann Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices Hansjorg Linden Computation of Coprime Factorizations of Rational Matrices Andreas Varga On Extended (J, J1) -Lossless Factorization Delin Chu Eigenvalue bounds and innequalities using vector aggregation of matrices Lyu Kolotilina An extension of generalized Pascal Matrix and its algebraic properties Z Zhang An iterative criterion for H-matrices Li, M Tsatsomeros The covering number of the elements of a matroid and generalized matrix functions JA Dias Da Silva An input-output representation for implicit linear time-varying systems William J Terrell Isometries for the induced c-norm on square matrices and some related results Chikwong Li Total Positivity and the QR Algorithm GML Gladwell Notes on Completely Positive Matrices Shuhuang Xiang Involutions for Matrices and Generalized Inverses Ladislav Skula Generalized Eigenvalues of a Definite Hermitian Matrix Pair Chi Kwong Li Orthogonal bases that lead to symmetric nonnegative matrices L Elsner Submitted by: Hans Schneider hans@math.wisc.edu. Department of Mathematics 608-262-1402 (Work) Van Vleck Hall 608-271-7252 (Home) 480 Lincoln Drive 608-263-8891 (Work FAX) University of Wisconsin-Madison 608-271-8477 (Home FAX) Madison WI 53706 USA http://math.wisc.edu/~hans (URL) ------- end -------