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

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書目名稱Applied Hyperfunction Theory影響因子(影響力)




書目名稱Applied Hyperfunction Theory影響因子(影響力)學(xué)科排名




書目名稱Applied Hyperfunction Theory網(wǎng)絡(luò)公開度




書目名稱Applied Hyperfunction Theory網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Applied Hyperfunction Theory被引頻次




書目名稱Applied Hyperfunction Theory被引頻次學(xué)科排名




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書目名稱Applied Hyperfunction Theory年度引用學(xué)科排名




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書目名稱Applied Hyperfunction Theory讀者反饋學(xué)科排名

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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

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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

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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

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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

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