Inversion of Bessel potentials with the aid of weighted wavelet transforms
MATHEMATISCHE NACHRICHTEN, vol.242, pp.27-37, 2002 (SCI-Expanded)
- 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.