Generalized Fourier transforms classes

Svend Berntsen, Steen Moeller

Research output: Contribution to journalArticlepeer-review

Abstract

The Fourier class of integral transforms with kernels B(ωr) has by definition inverse transforms with kernel B(-ωr). The space of such transforms is explicitly constructed. A slightly more general class of generalized Fourier transforms are introduced. From the general theory follows that integral transform with kernels which are products of a Bessel and a Hankel function or which is of a certain general hypergeometric type have inverse transforms of the same structure.

Original languageEnglish (US)
Pages (from-to)447-459
Number of pages13
JournalIntegral Transforms and Special Functions
Volume13
Issue number5
DOIs
StatePublished - Oct 1 2002
Externally publishedYes

Keywords

  • Fourier transforms
  • Integral transforms in distributional space
  • Transforms of special functions

Fingerprint Dive into the research topics of 'Generalized Fourier transforms classes'. Together they form a unique fingerprint.

Cite this