Introduction to Hyperfunctions and Their Integral Transforms An Applied and Computational Approach için kapak resmi
Başlık:
Introduction to Hyperfunctions and Their Integral Transforms An Applied and Computational Approach
Dil:
English
ISBN:
9783034604086
Yayın Bilgileri:
Basel : Birkhäuser Basel, 2010.
Fiziksel Tanımlama:
432 p. online resource.
İçerik:
to Hyperfunctions -- Analytic Properties -- Laplace Transforms -- Fourier Transforms -- Hilbert Transforms -- Mellin Transforms -- Hankel Transforms.
Özet:
This textbook presents an elementary introduction to generalized functions by using Sato's approach of hyperfunctions which is based on complex function theory. This very intuitive and appealing approach has particularly great computational power.   The concept of hyperfunctions and their analytic properties is introduced and discussed in detail in the first two chapters of the book. Thereafter the focus lies on generalizing the (classical) Laplace, Fourier, Hilbert, Mellin, and Hankel transformations to hyperfunctions. Applications to integral and differential equations and a rich variety of concrete examples accompany the text throughout the book.   Requiring only standard knowledge of the theory of complex variables, the material is easily accessible for advanced undergraduate or graduate students. It serves as well as a reference for researchers in pure and applied mathematics, engineering and physics.  .

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E-Kitap 1821042-1001 QA307 SPRINGER E-Kitap Koleksiyonu
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This textbook presents an introduction to the subject of generalized functions and their integral transforms by an approach based on the theory of functions of one complex variable. It includes many concrete examples.