Representation Theory and Random Point Processes
Alexei BorodinCalifornia Institute of Technology, Pasadena, United States
Grigori OlshanskiInstitute for Information Transmission Problems, Moscow, Russian Federation
A subscription is required to access this book chapter.
On a particular example we describe how to state and to solve the problem of harmonic analysis for groups with infinite-dimensional dual space. The representation theory for such groups differs in many respects from the conventional theory. We emphasize a remarkable connection with random point processes that arise in random matrix theory. The paper is an extended version of the second author’s talk at the Congress.