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Titlebook: Generalized Functions Theory and Technique; Theory and Technique Ram P. Kanwal Book 19982nd edition Birkhäuser Boston 1998 Boundary value p

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书目名称Generalized Functions Theory and Technique
副标题Theory and Technique
编辑Ram P. Kanwal
视频video
图书封面Titlebook: Generalized Functions Theory and Technique; Theory and Technique Ram P. Kanwal Book 19982nd edition Birkhäuser Boston 1998 Boundary value p
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 has been tremendous growth in the subject and I have 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 12 of this edition by a judicious 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 of 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 modern topics of periodic distributions and microlocal theory. I have demonstrated through v
出版日期Book 19982nd edition
关键词Boundary value problem; Fourier analysis; Generalized Functions; Stieltjes integral; boundary element me
版次2
doihttps://doi.org/10.1007/978-1-4684-0035-9
isbn_softcover978-1-4684-0037-3
isbn_ebook978-1-4684-0035-9
copyrightBirkhäuser Boston 1998
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Distributions Defined by Divergent Integrals,alue of the singular integral defined by the quantity .. The aim of this chapter is to extend this idea and to regularize various singular integrals and thereby define the coresponding distributions. Let us start with a simple example.
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Distributional Derivatives of Functions with Jump Discontinuities,er derivatives have jumps across .. Classical theory is based on solving such problems on both sides of the boundaries and then attempting to satisfy the boundary conditions or jump conditions across ., as the case may be. There are many problems, however, that cannot be solved by classical techniques.
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nce the publication of the first edition, there has been tremendous growth in the subject and I have 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
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Congenital Malformations of the Neck,er .; then we define . and . where . = ∂/∂., . = 1, 2,..., .. For the one-dimensional case . reduces to .. Furthermore, if any component of . is zero, the differentiation with respect to the corresponding variable is omitted. For instance, in ., with . = (3, 0, 4), we have
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https://doi.org/10.1007/978-3-031-59031-3alue of the singular integral defined by the quantity .. The aim of this chapter is to extend this idea and to regularize various singular integrals and thereby define the coresponding distributions. Let us start with a simple example.
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Special technique in the Poland syndrome,er derivatives have jumps across .. Classical theory is based on solving such problems on both sides of the boundaries and then attempting to satisfy the boundary conditions or jump conditions across ., as the case may be. There are many problems, however, that cannot be solved by classical techniques.
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