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Titlebook: Generalized Functions; Theory and Applicati Ram P. Kanwal Textbook 2004Latest edition Springer Science+Business Media New York 2004 Boundar

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書目名稱Generalized Functions
副標(biāo)題Theory and Applicati
編輯Ram P. Kanwal
視頻videohttp://file.papertrans.cn/383/382204/382204.mp4
概述Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applica
圖書封面Titlebook: Generalized Functions; Theory and Applicati Ram P. Kanwal Textbook 2004Latest edition Springer Science+Business Media New York 2004 Boundar
描述This second edition of Generalized Functions has been strengthened in many ways. The already extensive set of examples has been expanded. Since the publication of the first edition,there hasbeen tremendous growth inthe subject and Ihave attempted to incorporate some of these new concepts. Accordingly, almost all the chapters have been revised. The bibliography has been enlarged considerably. Some of the material has been reorganized. For example, Chapters 12 and 13 of the first edition have been consolidated into Chapter 12ofthis edition by ajudicious process of elimination and addition of the subject matter. The new Chapter 13 explains the interplay between the theories of moments, asymptotics, and singular perturbations. Similarly, some sections of Chapter 15 have been revised and included in earlier chapters to improve the logical flow of ideas. However, two sections are retained. The section dealing with the application to the probability theory has been revised, and I am thankful to Professor Z. L. Crvenkovic for her help. The new material included in this chapter pertains to the modem topics of periodic distributions and microlocal theory. I have demonstrated through various
出版日期Textbook 2004Latest edition
關(guān)鍵詞Boundary value problem; Dirac delta function; Fourier transform; Integral equation; Transformation; convo
版次3
doihttps://doi.org/10.1007/978-0-8176-8174-6
isbn_softcover978-0-8176-4343-0
isbn_ebook978-0-8176-8174-6
copyrightSpringer Science+Business Media New York 2004
The information of publication is updating

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Distributional Derivatives of Functions with Jump Discontinuities,side or outside some surface . if the surface is closed, and on both sides of it if it is open. However, these functions or their first- or higher-order derivatives have jumps across 5. Classical theory is based on solving such problems on both sides of the boundaries and then attempting to satisfy
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Applications to Boundary Value Problems,including dumbbells, elongated rods, and prolate bodies, of which spheres and spheroids are special cases. The methods rest on exploring the fundamental solutions of partial differential equations, as presented in the previous chapters, and then taking a suitable axial distribution of the Dirac delt
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Interplay Between Generalized Functions and the Theory of Moments,the generalized functions and the theory of moments. Thus, they have not only succeeded in presenting a simplified approach to various known aspects of asymptotics but have also found many new results. They have applied their technique to many different branches of asymptotic expansions, such as asy
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