Inversion of Bessel potentials with the aid of weighted wavelet transforms

Aliev I., Eryigit M.

MATHEMATISCHE NACHRICHTEN, cilt.242, ss.27-37, 2002 (SCI-Expanded) identifier identifier

  • 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.