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On the Watson L-2-theory for index transforms I

Title
On the Watson L-2-theory for index transforms I
Type
Article in International Scientific Journal
Year
2010
Authors
Semyon Yakubovich
(Author)
FCUP
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Journal
Vol. 21
Pages: 381-397
ISSN: 1065-2469
Publisher: Taylor & Francis
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-003-B9B
Abstract (EN): We establish Watson's and Plancherel's theorems for general index transforms in L-2. It involves the familiar Kontorovich-Lebedev, Mehler-Fock, Olevskii transforms and other index transforms with hypergeometric functions as kernels. Symmetric and unsymmetric kernels are considered. Several examples are demonstrated.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 17
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