The Schwartz space and homogeneous distributions on H-type groups

Authors
Astengo, F Di Blasio, B
Citation
F. Astengo et B. Di Blasio, The Schwartz space and homogeneous distributions on H-type groups, MONATS MATH, 132(3), 2001, pp. 197-214
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255 → ACNP
Volume
132
Issue
3
Year of publication
2001
Pages
197 - 214
Database
ISI
SICI code
0026-9255(2001)132:3<197:TSSAHD>2.0.ZU;2-W
Abstract
Let N be an H-type group of homogeneous dimension e. We study the space of biradial Schwartz functions on N by means of the Gelfand transform. This en ables us to characterize the class of biradial homogeneous distributions on N of degree alpha, with 0 less than or equal to alpha < Q, which are C-inf inity away from the identity, via the Gelfand transform.