Inversion of Bessel potentials with the aid of weighted wavelet transforms

Aliev I., Eryigit M.

MATHEMATISCHE NACHRICHTEN, vol.242, pp.27-37, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 242
  • Publication Date: 2002
  • Journal Name: MATHEMATISCHE NACHRICHTEN
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.27-37
  • Keywords: Bessel potentials, fractional derivative, weighted wavelet transform, Calderon-type reproducing formula, INTEGRALS, SPACES
  • Akdeniz University Affiliated: Yes

Abstract

A special type of weighted wavelet transforms is introduced and the relevant Calderon reproducing formula for functions f is an element of L-P(R-n) is proved. By making use of these wavelet-type transforms a new inversion formula of the classical Bessel potentials is obtained.