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

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Thorsten Hennig-Thurau,Mark B. Houstonution of periodic hyperfunctions, it would be useful to view infinite integrals, arising in the definition of convolution, as infinite principal-value integrals. In fact, if such a revision is done, the domain of application of convolution is very much extended.

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Thorsten Hennig-Thurau,Mark B. HoustonTherefore, the content of this chapter can be regarded as an application of Chapters 13 and 14. Since the Poisson-Schwarz integration formula of complex function theory will be discussed from the viewpoint of hyperfunction theory, we also derive several formulae on which the Poisson-Schwarz formula is based.

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Pilar Lacasa,Laura Méndez,Sara Cortésen D is a circle or a halfplane, formulae to express the solution are known and are called the .. In this chapter, we discuss these formulae and related facts from the viewpoint of hyperfunction theory. As an example of their application we deal with integral equations related to the Hilbert transforms.

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Book 1992 for non-specialists. To remedy thissituation, this book gives an intelligible exposition of generalizedfunctions based on Sato‘s hyperfunction, which is essentially the`boundary value of analytic functions‘. An intuitive image --hyperfunction = vortex layer -- is adopted, and only an elementaryknow

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0924-4913 accessible for non-specialists. To remedy thissituation, this book gives an intelligible exposition of generalizedfunctions based on Sato‘s hyperfunction, which is essentially the`boundary value of analytic functions‘. An intuitive image --hyperfunction = vortex layer -- is adopted, and only an elem

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Entertainment Computing – ICEC 2022perfunctions and dealt with in a unified way. In this chapter we discuss, in detail, several examples of basic hyperfunctions. We begin with characteristics of individual hyperfunctions such as ., etc.

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Nicolas Grelier,Stéphane Kaufmann. 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 integral of (1.2) exists, the Fourier transform .(ζ) of .(.) exists.