Groups and Analysis: The Legacy of Hermann Weyl (London Mathematical Society Lecture Note Series, Series Number 354)

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. Areas Of Mathematics Founded Or Influenced By Hermann Weyl Include 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.--jacket. 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. Edited By Katrin Tent. This Volume Grew Out Of The Conference In Honour Of Hermann Weyl That Took Place In Bielefeld On 10-13 September 2006--pref. Includes Bibliographical References. 9780521717885pre_pi-x......Page 1 9780521717885c01_p1-23......Page 11 9780521717885c02_p24-62......Page 34 9780521717885c03_p63-83......Page 73 9780521717885c04_p84-99......Page 94 9780521717885c05_p100-115......Page 110 9780521717885c06_p116-132......Page 126 9780521717885c07_p133-163......Page 143 9780521717885c08_p164-173......Page 174 9780521717885c09_p174-190......Page 184 9780521717885c10_p191-231......Page 201 9780521717885c11_p232-270......Page 242 9780521717885c12_p271-284......Page 281 9780521717885c13_p285-326......Page 295 Leading experts outline the connections between Weyl's theorems and current results in dynamical systems, invariant theory and partial differential equations.