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

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Entertainment Computing – ICEC 2022rentiation 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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https://doi.org/10.1007/978-3-031-20212-4ositive integers). The concept of a formal product, i.e. hyperfunctions of the form . with a hyperfunction . and a single-valued analytic function ., played a basic role. Moreover, hyperfunctions ∣.∣., ∣.∣.H(.), ∣.∣. sgn . etc. were defined for α complex. What are the relations between them and .. ,

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Entertainment Computing – ICEC 2022 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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