Generalized Fourier transforms classes

Svend Berntsen, Steen Moeller

Research output: Contribution to journalArticlepeer-review


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
Issue number5
StatePublished - Oct 1 2002
Externally publishedYes


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


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