Inversion of Bessel potentials with the aid of weighted wavelet transforms
MATHEMATISCHE NACHRICHTEN, cilt.242, ss.27-37, 2002 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 242
- Basım Tarihi: 2002
- Dergi Adı: MATHEMATISCHE NACHRICHTEN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.27-37
- Anahtar Kelimeler: Bessel potentials, fractional derivative, weighted wavelet transform, Calderon-type reproducing formula, INTEGRALS, SPACES
- Akdeniz Üniversitesi Adresli: Evet
Özet
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.