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＜電子ブック＞
Introduction to Hyperfunctions and Their Integral Transforms : An Applied and Computational Approach / by Urs Graf

版	1st ed. 2010.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2010
本文言語	英語
大きさ	432 p : online resource
著者標目	*Graf, Urs author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Special functions LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Fourier analysis FREE:Integral Transforms and Operational Calculus FREE:Special Functions FREE:Computational Science and Engineering FREE:Fourier Analysis
一般注記	to Hyperfunctions -- Analytic Properties -- Laplace Transforms -- Fourier Transforms -- Hilbert Transforms -- Mellin Transforms -- Hankel Transforms This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power.   The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book.   Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics.   HTTP:URL=https://doi.org/10.1007/978-3-0346-0408-6

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