Convolution transform for generalized functions

V. Karunakaran, T. Venugopal

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The classical convolution transform of an ordinary function is extended to a generalized function space consisting of complex functions analytic in strips around real axis. An inversion theorem is also obtained. A comparative study of the transform defined here and those available in the literature is undertaken.

Original languageEnglish (US)
Pages (from-to)217-232
Number of pages16
JournalIntegral Transforms and Special Functions
Issue number3-4
StatePublished - 1999
Externally publishedYes

Bibliographical note

Funding Information:
Research of the second author is supported by a senior research fellowship from CSIR. India.


  • Analytic function
  • Convolution
  • Fourier transform
  • Kernel


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