Topic #10 ----------------- OP-SF NET ------------------ May 16, 1996 ~~~~~~~~~ From: S.B. Yakubovich
Subject: New book on integral transforms The following book has appeared: S.B. Yakubovich, Index Transforms, World Scientific, Singapore. London. Hong Kong, 1996. 264 pp. "This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of special functions of hypergeometric type as the kernel (index transforms). The basic index transforms are considered, such as the Kontorovich-Lebedev transform, the Mehler-Fock transform, the Olevskii transform, the Lebedev-Skalskaya transforms. The Lp theory of index transforms is discussed and new index transforms and convolution constructions are demonstrated. For the first time, the essentially multidimensional Kontorovich-Lebedev transform is announced. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography".
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