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Titlebook: Introduction to Hyperfunctions and Their Integral Transforms; An Applied and Compu Urs Graf Textbook 2010Latest edition Birkh?user Basel 20

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樓主
發(fā)表于 2025-3-21 18:29:25 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Introduction to Hyperfunctions and Their Integral Transforms
副標題An Applied and Compu
編輯Urs Graf
視頻videohttp://file.papertrans.cn/474/473767/473767.mp4
概述Elementary approach to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable, in contrast to most other textbooks o
圖書封面Titlebook: Introduction to Hyperfunctions and Their Integral Transforms; An Applied and Compu Urs Graf Textbook 2010Latest edition Birkh?user Basel 20
描述.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..?.
出版日期Textbook 2010Latest edition
關鍵詞DEX; Fourier transform; Hyperfunction; Integral equation; computation; distribution; equation; form; functio
版次1
doihttps://doi.org/10.1007/978-3-0346-0408-6
isbn_ebook978-3-0346-0408-6
copyrightBirkh?user Basel 2010
The information of publication is updating

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沙發(fā)
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板凳
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Introduction to Hyperfunctions,-called finite part hyperfunctions are introduced, followed by the important notion of the (definite) integral of a hyperfunction. The chapter closes with a definition of more familiar hyperfunctions frequently used in applications. The books of [19, Imai] and [20, Kaneko] are the principal references for this chapter.
地板
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Textbook 2010Latest edition 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..?.
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發(fā)表于 2025-3-22 15:23:41 | 只看該作者
Fourier Transforms,re stated. Many concrete examples of Fourier transforms of hyperfunctions are presented. The chapter terminates with Poisson’s summation formula and some applications to differential and integral equations.
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development, or . (Halliday & Matthiessen 2004: 43) and social context, though an extended extract from fiction will be commented upon. This is because there are already many such qualitative analyses using the appraisal framework (see Section 5.1 for references). The aim of this chapter is thus to
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