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Groups and analysis : the legacy of Hermann Weyl / edited by Katrin Tent.

By: Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 354.Publisher: Cambridge : Cambridge University Press, 2008Description: 1 online resource (x, 326 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511721410 (ebook)
Other title:
  • Groups & Analysis
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512.2 22
LOC classification:
  • QA174 .H47 2006
Online resources:
Contents:
Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Harmonic analysis on compact symmetric spaces / Roe Goodman -- Weyl, eigenfunction expansions, symmetric spaces / Erik van den Ban -- Weyl's work on singular Sturm-Liouville operators / W.N. Everitt and H. Kalf -- From Weyl quantization to modern algebraic index theory / Markus J. Pflaum -- Sharp spectral inequalities for the Heisenberg Laplacian / A.M. Hansson and A. Laptev -- Equidistribution for quadratic differentials / Ursula Hamenstädt -- Weyl's law in the theory of automorphic forms / Werner Müller -- Weyl's Lemma, one of many / Daniel W. Stroock -- Analysis on foliated spaces and arithmetic geometry / Christopher Deninger -- Reciprocity algebras and branching / R.E. Howe, E.-C. Tan, and J.F. Willenbring -- Character formulae from Hermann Weyl tothe present / Jens Carsten Jantzen -- The classification of affine buildings / Richard M. Weiss -- Emmy Noether and Hermann Weyl / Peter Roquette.

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.

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