极端的正确性 发表于 2025-3-25 04:59:18
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Laplace Transforms,14, Graf]. After a discussion on loop integrals of Hankel type and their ramifications, some facts about the classical two-sided Laplace transformation are recalled. Then, the two subclasses of hyperfunctions, the right-sided and left-sided originals and their Laplace transforms, are defined by usinBACLE 发表于 2025-3-25 14:33:16
Fourier Transforms,heir Fourier transforms are introduced. It will be shown that the Fourier transform of a hyperfunction can be computed by evaluating the Laplace transform of two rightsided hyperfunctions. This fact is exploited to the hilt in the sequel, almost all Fourier transforms in this book are computed via L敏捷 发表于 2025-3-25 17:10:09
Hilbert Transforms,r hand, the classical Hilbert transform is also linked to the Cauchy-type integral. These two parents have unfortunately led to the fact that there is no adopted standard definition of the Hilbert transform. After some hesitation I have chosen the definition which relays on the Cauchy-type integral.Ossification 发表于 2025-3-26 00:01:07
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Hankel Transforms,es are introduced. Unfortunately, no firm convention about the definition of the Hankel transform pair is established. We shall use the most widespread one. In order to lay the groundwork for the theory of Hankel transformation of hyperfunctions, we present a concise exposition of the various cylind彻底检查 发表于 2025-3-26 07:05:31
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