The Weierstrass Transform for a Class of Generalized Functions

V. Karunakaran, T. Venugopal

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The classical theory of the Weierstrass transform is extended to a generalized function space which is the dual of a testing function space consisting of purely entire functions with certain growth conditions developed by Kenneth B. Howell. An inversion formula and characterizations for this transform are obtained. A comparative study with the existing literature is also undertaken.

Original languageEnglish (US)
Pages (from-to)508-527
Number of pages20
JournalJournal of Mathematical Analysis and Applications
Volume220
Issue number2
DOIs
StatePublished - Apr 15 1998

Bibliographical note

Funding Information:
of this author is supported by a senior research fellowship from CSIR, India.

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