Integral transforms, reproducing kernels and their applications
著者
書誌事項
Integral transforms, reproducing kernels and their applications
（Pitman research notes in mathematics series, 369）
Addison Wesley Longman, 1997
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注記
Includes bibliographical references (p. 267-280)
内容説明・目次
内容説明
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
目次
1. Introduction 2. Reproducing kernel Hilbert spaces 3. Isometrical identities and inversion formulas 4. Applications to the approximation of functions 5. Applications to analytic extension formulas and real inversion formulas for the Laplace transform 6. Applications to source inverse problems
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