Groups and Analysis

Leading experts outline the connections between Weyl's theorems and current results in dynamical systems, invariant theory and partial differential equations.

The work of Hermann Weyl has had a lasting influence on areas of mathematics such as topological groups, Lie groups and representation theory, harmonic analysis, and on the foundations of mathematics itself. In this volume leading experts outline the connections between Weyl's theorems and up-to-date results in many contemporary topics.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.