Indict 发表于 2025-3-28 15:03:44
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Fourier Transformation of Power-Type Hyperfunctions, as ordinary functions. However, as will be seen later, these power-type hyperfunctions play decisive roles when we investigate the asymptotic behaviour of the Fourier transforms .(ξ) = ..(.) for ξ → ∞ for a given function . (.).Generic-Drug 发表于 2025-3-29 01:35:46
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Poisson-Schwarz Integral Formulae,en 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.慢跑鞋 发表于 2025-3-29 18:35:35
Miriam-Linnea Hale,André Melzert . = O. Therefore, ..(.) and ..(.) are simpler than .(.) itself, so that it may be convenient to consider hyperfunctions corresponding to .. (.) and ..(.) and to combine them to obtain the hyperfunction corresponding to .(.).客观 发表于 2025-3-29 21:09:51
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Periodic Hyperfunctions and Fourier Series Fourier Series,his chapter we study periodic hyperfunctions. Then we shall see that the theory of Fourier series is naturally absorbed into the theory of Fourier transformations. For this purpose, we shall first introduce the concept of standard generating functions.