Titlebook: Introduction to Hyperfunctions and Their Integral Transforms; An Applied and Compu Urs Graf Textbook 2010Latest edition Birkh?user Basel 20

極端的正確性

Lasting

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 usin

BACLE

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

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

聯(lián)想記憶

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

徹底檢查

Clinch

chastise

細(xì)微差別