Groups and analysis : the legacy of hermann weyl

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, focusing on the mathematical roots evident within Weyl's work.

Roe GoodmanErik van den BanW.N. Everitt and H. KalfMarkus J. PflaumA.M. Hansson and A. LaptevUrsula HamenstädtWerner MüllerDaniel W. StroockChristopher DeningerR.E. Howe, E.-C. Tan and J.F. WillenbringJens Carsten JantzenRichard M. WeissPeter Roquette

Preface	p. vii
1 Harmonic analysis on compact symmetric spaces	p. 1
2 Weyl, eigenfunction expansions, symmetric spaces	p. 24
3 Weyl's work on singular Sturm-Liouville Operators	p. 63
4 From Weyl quantization to modern algebraic index theory	p. 84
5 Sharp spectral inequalities for the Heisenberg Laplacian	p. 100
6 Equidistribution for quadratic differentials	p. 116
7 Weyl's law in the theory of automorphic forms	p. 133
8 Weyl's Lemma, one of many	p. 164
9 Analysis on foliated spaces and arithmetic geometry	p. 174
10 Reciprocity algebras and branching	p. 191
11 Character formulae from Hermann Weyl to the present	p. 232
12 The Classification of affine buildings	p. 271
13 Emmy Noether and Hermann Weyl	p. 285

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