Groups and Analysis

The Legacy of Hermann Weyl

Katrin Tent (Universität Bielefeld, Germany)

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English

Cambridge University Press
16 October 2008

Mathematics & Sciences; Groups & group theory; Differential calculus & equations

Series: London Mathematical Society Lecture Note Series

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.

Edited by: Katrin Tent (Universität Bielefeld Germany)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No. 354
Dimensions: Height: 228mm, Width: 153mm, Spine: 18mm
Weight: 470g
ISBN: 9780521717885
ISBN 10: 0521717884
Series: London Mathematical Society Lecture Note Series
Pages: 354
Publication Date: 16 October 2008
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Katrin Tent is a Professor in the Mathematics Department at Bielefeld University in Germany.

Reviews for Groups and Analysis: The Legacy of Hermann Weyl

'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