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

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