Look Inside Groups and Analysis

Groups and Analysis
The Legacy of Hermann Weyl

Part of London Mathematical Society Lecture Note Series

Editor: Katrin Tent, Westfälische Wilhelms-Universität Münster, Germany

Roe Goodman, Erik van den Ban, W. N. Everitt, H. Kalf, Markus J. Pflaum, A. M. Hansson, A. Laptev, Ursula Hamenstädt, Werner Müller, Daniel W. Stroock, Christopher Deninger, R. E. Howe, E.-C. Tan, J. F. Willenbring, Jens Carsten Jantzen, Richard M. Weiss, Peter Roquette

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Date Published: October 2008
availability: Available
format: Paperback
isbn: 9780521717885

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Description

Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.
- Presents up to date results and their historical background, in particular their roots in Weyl's work
- Surveys by leading experts from many different areas of mathematics
- Broad and accessible presentation
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Reviews & endorsements
'The quality of the articles is high: the promise of the title is met, and the material is presented at a very accessible level, but without courting triviality. … uncommonly informative and fascinating …' MAA Reviews
'… offers an interesting overview of the impact of H. Weyl's work on contemporary mathematics.' EMS Newsletter
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Product details
- Date Published: October 2008
- format: Paperback
- isbn: 9780521717885
- length: 354 pages
- dimensions: 228 x 153 x 18 mm
- weight: 0.47kg
- contains: 3 tables
- availability: Available
Table of Contents
List of speakers and talks
1. Harmonic analysis on compact symmetric spaces Roe Goodman
2. Weyl, Eigenfunction expansions, symmetric spaces Erik van den Ban
3. Weyl's Work on singular Sturm-Liouville operators W. N. Everitt and H. Kalf
4. From Weyl quantization to modern algebraic index theory Markus J. Pflaum
5. Sharp spectral inequalities for the Heisenberg Laplacian A. M. Hansson and A. Laptev
6. Equidistribution for quadratic differentials Ursula Hamenstädt
7. Weyl's law in the theory of automorphic forms Werner Müller
8. Weyl's Lemma, one of many Daniel W. Stroock
9. Analysis on foliated spaces and arithmetic geometry Christopher Deninger
10. Reciprocity algebras and branching R. E. Howe, E.-C. Tan and J. F. Willenbring
11. Character formulae from Hermann Weyl to the present Jens Carsten Jantzen
12. The classification of Affine buildings Richard M. Weiss
13. Emmy Noether and Hermann Weyl Peter Roquette.
Look Inside
Editor
Katrin Tent, Westfälische Wilhelms-Universität Münster, Germany
Katrin Tent is a Professor in the Mathematics Department at Bielefeld University in Germany.
Contributors
Roe Goodman, Erik van den Ban, W. N. Everitt, H. Kalf, Markus J. Pflaum, A. M. Hansson, A. Laptev, Ursula Hamenstädt, Werner Müller, Daniel W. Stroock, Christopher Deninger, R. E. Howe, E.-C. Tan, J. F. Willenbring, Jens Carsten Jantzen, Richard M. Weiss, Peter Roquette