Injectivity sets for spherical means on R-n and on symmetric spaces

Authors
Rawat, R Sitaram, A
Citation
R. Rawat et A. Sitaram, Injectivity sets for spherical means on R-n and on symmetric spaces, J FOURIER A, 6(3), 2000, pp. 343-348
Citations number
12
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
ISSN journal
10695869 → ACNP
Volume
6
Issue
3
Year of publication
2000
Pages
343 - 348
Database
ISI
SICI code
1069-5869(2000)6:3<343:ISFSMO>2.0.ZU;2-H
Abstract
A complex Radon measure mu on R-n is said to be of at most exponential-quad ratic growth if there exist positive constants C and alpha such that \mu\(B (0, r)) less than or equal to C e(alpha r2), r greater than or equal to 0. Let X-exp denote the space of ail complex Radon measure on R-n of at most e xponential-quadratic growth. Using elementary methods, we obtain injectivit y sets for spherical means for X-exp. We also discuss similar results for s ymmetric spaces.