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標(biāo)題: Titlebook: Introduction to Hyperfunctions and Their Integral Transforms; An Applied and Compu Urs Graf Textbook 2010Latest edition Birkh?user Basel 20 [打印本頁(yè)]

作者: 強(qiáng)烈興趣    時(shí)間: 2025-3-21 18:29
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作者: 果仁    時(shí)間: 2025-3-21 23:36

作者: FID    時(shí)間: 2025-3-22 01:09
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.
作者: Monotonous    時(shí)間: 2025-3-22 08:12

作者: 暫時(shí)別動(dòng)    時(shí)間: 2025-3-22 09:01
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..?.
作者: LAP    時(shí)間: 2025-3-22 15:23
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.
作者: 細(xì)頸瓶    時(shí)間: 2025-3-22 17:26

作者: Graphite    時(shí)間: 2025-3-22 23:30

作者: glamor    時(shí)間: 2025-3-23 05:09

作者: 暫時(shí)別動(dòng)    時(shí)間: 2025-3-23 08:06
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
作者: Preamble    時(shí)間: 2025-3-23 11:18

作者: SLAY    時(shí)間: 2025-3-23 16:20
Urs Grafotional problems. These issues undoubtedly influence the students’ academic performance, behavior, and emotion well-being. Empathetic, supportive attachments and relationships in school are essential to optimize brain development, cognitive functioning and social-emotional development. Given this as
作者: 蜈蚣    時(shí)間: 2025-3-23 21:38

作者: 四海為家的人    時(shí)間: 2025-3-24 01:31
Urs Grafotional problems. These issues undoubtedly influence the students’ academic performance, behavior, and emotion well-being. Empathetic, supportive attachments and relationships in school are essential to optimize brain development, cognitive functioning and social-emotional development. Given this as
作者: 吝嗇性    時(shí)間: 2025-3-24 04:02
Introduction to Hyperfunctions and Their Integral TransformsAn Applied and Compu
作者: Onerous    時(shí)間: 2025-3-24 10:05

作者: Occupation    時(shí)間: 2025-3-24 12:56
Analytic Properties,functions is always a difficult point in any theory about generalized functions. Generally, the product of two generalized function cannot be defined. We shall discuss under what circumstances the product of two hyperfunctions makes sense. The sections on periodic hyperfunctions and their Fourier se
作者: 小丑    時(shí)間: 2025-3-24 16:02

作者: Oration    時(shí)間: 2025-3-24 22:09
Hankel Transforms,art of the real axis. The operational rules known for the Hankel transformation of ordinary functions are then carried over to the Hankel transformation of hyperfunctions. The chapter closes with a few applications about problems of mathematical physics.
作者: BARK    時(shí)間: 2025-3-25 00:13
Introduction to Hyperfunctions, by an introduction to the most simple and familiar hyperfunctions. Then the elementary operational properties of hyperfunctions are presented. The so-called finite part hyperfunctions are introduced, followed by the important notion of the (definite) integral of a hyperfunction. The chapter closes
作者: 極端的正確性    時(shí)間: 2025-3-25 04:59

作者: Lasting    時(shí)間: 2025-3-25 09:56
Laplace Transforms,14, Graf]. After a discussion on loop integrals of Hankel type and their ramifications, some facts about the classical two-sided Laplace transformation are recalled. Then, the two subclasses of hyperfunctions, the right-sided and left-sided originals and their Laplace transforms, are defined by usin
作者: BACLE    時(shí)間: 2025-3-25 14:33
Fourier Transforms,heir Fourier transforms are introduced. It will be shown that the Fourier transform of a hyperfunction can be computed by evaluating the Laplace transform of two rightsided hyperfunctions. This fact is exploited to the hilt in the sequel, almost all Fourier transforms in this book are computed via L
作者: 敏捷    時(shí)間: 2025-3-25 17:10
Hilbert Transforms,r hand, the classical Hilbert transform is also linked to the Cauchy-type integral. These two parents have unfortunately led to the fact that there is no adopted standard definition of the Hilbert transform. After some hesitation I have chosen the definition which relays on the Cauchy-type integral.
作者: Ossification    時(shí)間: 2025-3-26 00:01

作者: 聯(lián)想記憶    時(shí)間: 2025-3-26 03:35
Hankel Transforms,es are introduced. Unfortunately, no firm convention about the definition of the Hankel transform pair is established. We shall use the most widespread one. In order to lay the groundwork for the theory of Hankel transformation of hyperfunctions, we present a concise exposition of the various cylind
作者: 徹底檢查    時(shí)間: 2025-3-26 07:05

作者: Clinch    時(shí)間: 2025-3-26 09:20

作者: chastise    時(shí)間: 2025-3-26 14:50

作者: 細(xì)微差別    時(shí)間: 2025-3-26 20:14

作者: Climate    時(shí)間: 2025-3-27 01:01
Urs Grafa complex, widely distributed and defines our basic personality early in life. The unique blending of biology and psychology of emotion promises to suggest powerful educational application. Schools pose a challenging place for students. In addition to the rigors of academic studies, students are als
作者: Virtues    時(shí)間: 2025-3-27 02:54

作者: 厭煩    時(shí)間: 2025-3-27 07:08

作者: 一致性    時(shí)間: 2025-3-27 09:30

作者: 物種起源    時(shí)間: 2025-3-27 16:49

作者: COLON    時(shí)間: 2025-3-27 19:14

作者: 大方不好    時(shí)間: 2025-3-28 00:47
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作者: DEVIL    時(shí)間: 2025-3-28 02:20
https://doi.org/10.1007/978-3-0346-0408-6DEX; Fourier transform; Hyperfunction; Integral equation; computation; distribution; equation; form; functio
作者: 其他    時(shí)間: 2025-3-28 08:43
https://doi.org/10.1007/978-3-642-30779-9adaptive environments; ambient intelligence; assistive technology; body sensor networks; medical informa




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