Copy For Citation
Aliev I., Eryigit M.
MATHEMATISCHE NACHRICHTEN, vol.242, pp.27-37, 2002 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
242
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Publication Date:
2002
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Journal Name:
MATHEMATISCHE NACHRICHTEN
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.27-37
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Keywords:
Bessel potentials, fractional derivative, weighted wavelet transform, Calderon-type reproducing formula, INTEGRALS, SPACES
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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.