Groups and Analysis
The Legacy of Hermann Weyl
Published on 16. October 2008
Book
Paperback/Softback
354 pages
978-0-521-71788-5 (ISBN)
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.
Reviews / Votes
'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 NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises; 3 Tables, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 20 mm
Weight
550 gr
ISBN-13
978-0-521-71788-5 (9780521717885)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
01/2011
1st Edition
Cambridge University Press
€82.99
Available for download
Person
Katrin Tent is a Professor in the Mathematics Department at Bielefeld University in Germany.
Content
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 Hamenstaedt; 7. Weyl's law in the theory of automorphic forms Werner Mueller; 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.