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Spectral analysis and synthesis on symmetric spaces

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
127
Issue
1
Identifiers
DOI: 10.1016/0022-247x(87)90137-5

Abstract

Abstract The problem of spectral analysis and synthesis is studied in the space C ∞ ( X) of smooth functions on symmetric space X of noncompact type and of rank one. One proves that the spectral analysis and synthesis hold for those invariant subspaces of C ∞( X) whose spectrum does not contain the zeroes of the Harish-Chandra function c.

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