Index Transforms

This book deals with the theory and some applications of integral transforms that involve integration with respect to an index or parameter of a special function 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 and 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. General index transform formulae are obtained. The connection between the multidimensional index kernels and G and H functions of several variables is presented. The book is self-contained, and includes a list of symbols with definitions, author and subject indices, and an up-to-date bibliography.This work will be of interest to researchers and graudate students in the mathematical and physical sciences whose work involves integral transforms and special functions.

Product details

• Authors: Semyon B Yakubovich, Semyon B Yakubovich, Semyon B. Yakubovich
• Publisher: Ingram Publishers Services
• Languages: English
• Product format: Hardback
• Released: 01.02.1996
• EAN: 9789810222161
• ISBN: 978-981-02-2216-1
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Functional Analysis, MATHEMATICS / Calculus, Integral calculus & equations, Functional analysis & transforms, Functional analysis and transforms, Integral calculus and equations