A product formula and a convolution structure for a k-Hankel transform on R

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The product Bk(λ,x)Bk(λ,y) of two Dunkl type kernels is expressed as an integral in terms of Bk(λ,z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established.

Original languageEnglish
Pages (from-to)1132-1146
Number of pages15
JournalJournal of Mathematical Analysis and Applications
Volume463
Issue number2
DOIs
Publication statusPublished - Jul 15 2018
Externally publishedYes

Keywords

  • Convolution structure
  • Generalized Fourier transform
  • Product formula
  • Translation operators

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'A product formula and a convolution structure for a k-Hankel transform on R'. Together they form a unique fingerprint.

Cite this