Title

Causal compactification and hardy spaces

Document Type

Article

Publication Date

1-1-1999

Abstract

Let M = G/H be a irreducible symmetric space of Cayley type. Then M is diffeomorphic to an open and dense G-orbit in the Shilov boundary of G/K x G/K. This compactification of M is causal and can be used to give answers to questions in harmonic analysis on M. In particular we relate the Hardy space of M to the classical Hardy space on the bounded symmetric domain G/K x G/K. This gives a new formula for the Cauchy-Szegö kernel for M. ©1999 American Mathematical Society.

Publication Source (Journal or Book title)

Transactions of the American Mathematical Society

First Page

3771

Last Page

3792

This document is currently not available here.

Share

COinS