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基本説明
Presents up to date results and their historical background in particular their roots in Weyl's work.
Full 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.
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.
