autoantibodies 发表于 2025-3-21 19:13:53

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gimmick 发表于 2025-3-21 22:01:11

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类型 发表于 2025-3-22 03:18:18

Basic Hyperfunctions,rentiation and definite integration. Then, not only almost all familiar functions, but also objects such as the δ-function, can be reinterpreted as hyperfunctions and dealt with in a unified way. In this chapter we discuss, in detail, several examples of basic hyperfunctions. We begin with character

CARE 发表于 2025-3-22 04:33:50

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ABIDE 发表于 2025-3-22 12:24:05

Fourier Transformation, Thus, we now have a basis on which we can perform differentiation and integration of hyperfunctions without obstacles. In the present chapter, we start the theory of Fourier transformations of hyperfunctions. In physical sciences and engineering, some problems are conveniently dealt with by Fourier

马笼头 发表于 2025-3-22 15:43:58

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Stress 发表于 2025-3-22 18:20:24

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发展 发表于 2025-3-22 23:00:04

Fourier Transforms-Existence and Regularity,main of functions (hyperfunctions) e.g. .1 = δ(.), .. = -..δ(ξ), .(1/x) = -π.sgnξ, .... The Fourier transform .(ξ) = ..(.) of a hyperfunction .(.) = H. F. .(.) is defined by .. (Definition 5.1.) Contours . and . of (1.2) consist of two semi-infinite curves each as shown in Figure 1. Whenever the int

十字架 发表于 2025-3-23 03:42:42

Fourier Transform-Asymptotic Behaviour,) may or may not be expressed in a closed form, i.e. in terms of known functions. In such a case we have to return to the definition of Fourier transformation and calculate numerically the infinite integral .. If ξ is not very large, numerical integration can be performed relatively easily, but for

Expurgate 发表于 2025-3-23 07:51:56

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查看完整版本: Titlebook: Applied Hyperfunction Theory; Isao Imai Book 1992 Springer Science+Business Media Dordrecht 1992 Fourier series.analytic function.differen