THE WEIERSTRASS TRANSFORM FOR A CLASS OF GENERALIZED-FUNCTIONS

Authors
KARUNAKARAN V VENUGOPAL T
Citation
V. Karunakaran et T. Venugopal, THE WEIERSTRASS TRANSFORM FOR A CLASS OF GENERALIZED-FUNCTIONS, Journal of mathematical analysis and applications, 220(2), 1998, pp. 508-527
Citations number
12
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
220
Issue
2
Year of publication
1998
Pages
508 - 527
Database
ISI
SICI code
0022-247X(1998)220:2<508:TWTFAC>2.0.ZU;2-V
Abstract
The classical theory of the Weierstrass transform is extended to a gen eralized function space which is the dual of a testing function space consisting of purely entire functions with certain growth conditions d eveloped by Kenneth B. Howell. An inversion formula and characterizati ons for this transform are obtained. A comparative study with the exis ting literature is also undertaken. (C) 1998 Academic Press.