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Applied Hyperfunction Theory (Mathematics and its Applications) download epub

by Isao Imai


Epub Book: 1599 kb. | Fb2 Book: 1505 kb.

by Isao Imai · data of the paperback book Applied Hyperfunction Theory.

by Isao Imai · data of the paperback book Applied Hyperfunction Theory. ISBN: 978-94-010-5125-5. ISBN-10: 94-010-5125-9.

Informationen zum Titel Applied Hyperfunction Theory (Mathematics and its Applications) von Isao Imai aus . An intuitive image – hyperfunction vortex layer – is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained.

Informationen zum Titel Applied Hyperfunction Theory (Mathematics and its Applications) von Isao Imai aus der Reihe Japanese series An intuitive image – hyperfunction vortex layer – is adopted, and only an elementary knowledge of complex function theory is assumed.

Applied Hyperfunction Theory. Mathematics and Its Applications {Japanese Series). Volume 8. Applied Hyperfunction Theory.

Mathematics and its Applications. Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the & value of analytic functions'. An intuitive image - hyperfunction vortex layer - is adopted, and only an elementary knowledge of complex function theory is assumed.

Part of the Mathematics and Its Applications (Japanese Series) book . An intuitive image - hyperfunction vortex layer - is adopted, and only an elementary.

To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the & value of analytic functions'.

Applied Hyperfunction Theory - Mathematics and its Applications 8. . Fourier series are seen to be nothing but periodic hyperfunctions.

Applied Hyperfunction Theory - Mathematics and its Applications 8 (Hardback). In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied.

Электронная книга "Applied Hyperfunction Theory", Isao Imai. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Applied Hyperfunction Theory" для чтения в офлайн-режиме.

Imai, Isao (2012), Applied Hyperfunction Theory, Mathematics and its Applications (Book 8), Springer .

Imai, Isao (2012), Applied Hyperfunction Theory, Mathematics and its Applications (Book 8), Springer, ISBN 978-94-010-5125-5. Kaneko, Akira (1988), Introduction to the Theory of Hyperfunctions, Mathematics and its Applications (Book 3), Springer, ISBN 978-90-277-2837-1. Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo (2017), Foundations of Algebraic Analysis, Princeton Legacy Library (Book 5158), PMS-37, translated by Kato, Goro (Reprint e., Princeton University Press, ISBN 978-0-691-62832-5. Komatsu, Hikosaburo, ed.

Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. This book is a primer in the basic axioms and constructions of matroids. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions, and an appendix on cryptomorphisms.

Imai was born on October 7, 1914 in Dairen. A few years later, his family returned to Kobe, where he spent his childhood. He skipped one grade in elementary school and another in middle school, and he entered the First Higher School. Imai, Isao (2012), M. Hazewinkel (e., Applied hyperfunction theory, Mathematics and its Applications (Book 8), New York: Springer-Verlag, ISBN 978-0-7923-1507-0.

Generalized functions are now widely recognized as important mathematical tools for engineers and physicists. But they are considered to be inaccessible for non-specialists. To remedy this situation, this book gives an intelligible exposition of generalized functions based on Sato's hyperfunction, which is essentially the `boundary value of analytic functions'. An intuitive image -- hyperfunction = vortex layer -- is adopted, and only an elementary knowledge of complex function theory is assumed. The treatment is entirely self-contained. The first part of the book gives a detailed account of fundamental operations such as the four arithmetical operations applicable to hyperfunctions, namely differentiation, integration, and convolution, as well as Fourier transform. Fourier series are seen to be nothing but periodic hyperfunctions. In the second part, based on the general theory, the Hilbert transform and Poisson-Schwarz integral formula are treated and their application to integral equations is studied. A great number of formulas obtained in the course of treatment are summarized as tables in the appendix. In particular, those concerning convolution, the Hilbert transform and Fourier transform contain much new material. For mathematicians, mathematical physicists and engineers whose work involves generalized functions.
Applied Hyperfunction Theory (Mathematics and its Applications) download epub
Mathematics
Author: Isao Imai
ISBN: 0792315073
Category: Science & Math
Subcategory: Mathematics
Language: English
Publisher: Springer; 1992 edition (May 31, 1992)
Pages: 438 pages