Hyperfunctions and Harmonic Analysis on Symmetric Spaces (Progress in Mathematics) - Hardcover

Henrik Schlichtkrull

Hardcover

ISBN 10: 3764332158 ISBN 13: 9783764332150

Publisher: Birkhauser, Switzerland, 1984

Synopsis

This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

About this title

From the Back Cover

During the last ten years a powerful technique for the study of partial differential equations with regular singularities has developed using the theory of hyperfunctions. The technique has had several important applications in harmonic analysis for symmetric spaces.

This book gives an introductory exposition of the theory of hyperfunctions and regular singularities, and on this basis it treats two major applications to harmonic analysis. The first is to the proof of Helgason’s conjecture, due to Kashiwara et al., which represents eigenfunctions on Riemannian symmetric spaces as Poisson integrals of their hyperfunction boundary values.

A generalization of this result involving the full boundary of the space is also given. The second topic is the construction of discrete series for semisimple symmetric spaces, with an unpublished proof, due to Oshima, of a conjecture of Flensted-Jensen.

This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.

Edition details

• Publisher: Birkhauser, Switzerland
• Publication date: 1984
• ISBN 10: 3764332158
• ISBN 13: 9783764332150
• Binding: Hardcover
• Language: English
• Number of pages: 185