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Index transforms associated with products of Whittaker's functions

Title
Index transforms associated with products of Whittaker's functions
Type
Article in International Scientific Journal
Year
2002
Authors
Yakubovich, SB
(Author)
FCUP
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Journal
Vol. 148
Pages: 419-427
ISSN: 0377-0427
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-000-MDH
Abstract (EN): Integral transformations with respect to parameters of the products of Whittaker's functions are investigated in the paper. In particular, a class of these transformations involves the Lebedev index transformation with the square of the Macdonald function. Boundedness and inversion properties are derived in the weighted L-2-spaces. The methods of Plancherel's theorems and Parseval's equalities for the Fourier, Mellin and Kontorovich-Lebedev transforms are applied.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 9
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