Generalized analytic functions
Author | : Bogdan Ziemian |
Publisher | : |
Total Pages | : |
Release | : 1992 |
Genre | : |
ISBN | : |
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Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Generalized Analytic Functions With Applications To Singular Ordinary And Partial Differential Equations PDF full book. Access full book title Generalized Analytic Functions With Applications To Singular Ordinary And Partial Differential Equations.
Author | : Bogdan Ziemian |
Publisher | : |
Total Pages | : |
Release | : 1992 |
Genre | : |
ISBN | : |
Author | : Bogdan Ziemian |
Publisher | : |
Total Pages | : 112 |
Release | : 1996 |
Genre | : Analytic functions |
ISBN | : |
Author | : R.S. Pathak |
Publisher | : Springer Science & Business Media |
Total Pages | : 298 |
Release | : 2013-11-11 |
Genre | : Social Science |
ISBN | : 1489915915 |
The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee Celebration of the university. More than a hundred mathematicians from ten countries participated in the deliberations of the symposium. Thirty lectures were delivered on a variety of topics within the area. The contributions to the proceedings of the symposium are, with a few exceptions, expanded versions of the lectures delivered by the invited speakers. The survey papers by Komatsu and Hoskins and Sousa Pinto provide an up-to-date account of the theory of hyperfunctions, ultradistributions and microfunctions, and the nonstandard theory of new generalized functions, respectively; those by Stankovic and Kanwal deal with structures and asymptotics. Choquet-Bruhat's work studies generalized functions on manifold and gives applications to shocks and discrete models. The other contributions relate to contemporary problems and achievements in theory and applications, especially in the theory of partial differential equations, differential geometry, mechanics, mathematical physics, and systems science. The proceedings give a very clear impression of the present state of the art in this field and contain many challenges, ideas, and open problems. The volume is very helpful for a broad spectrum of readers: graduate students to mathematical researchers.
Author | : Ilʹi︠a︡ Nestorovich Vekua |
Publisher | : Pergamon |
Total Pages | : 706 |
Release | : 1962 |
Genre | : Mathematics |
ISBN | : |
Author | : Ram P. Kanwal |
Publisher | : Springer Science & Business Media |
Total Pages | : 490 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681744 |
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 applications Exposition driven by additional examples and exercises
Author | : Avner Friedman |
Publisher | : Courier Corporation |
Total Pages | : 352 |
Release | : 2011-11-30 |
Genre | : Mathematics |
ISBN | : 9780486152912 |
This self-contained text details developments in the theory of generalized functions and the theory of distributions, and it systematically applies them to a variety of problems in partial differential equations. 1963 edition.
Author | : Ram P. Kanwal |
Publisher | : Springer Science & Business Media |
Total Pages | : 478 |
Release | : 1998-01-01 |
Genre | : Mathematics |
ISBN | : 9780817640064 |
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 various examples that familiarity with the generalized functions is very helpful for students in physical sciences and technology. For instance, the reader will realize from Chapter 6 how the generalized functions have revolutionized the Fourier analysis which is being used extensively in many fields of scientific activity.
Author | : Vladislav V. Kravchenko |
Publisher | : Springer Nature |
Total Pages | : 685 |
Release | : 2020-04-11 |
Genre | : Mathematics |
ISBN | : 303035914X |
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
Author | : Georgiĭ Evgenʹevich Shilov |
Publisher | : |
Total Pages | : 368 |
Release | : 1968 |
Genre | : Mathematics |
ISBN | : |
Author | : Michael Oberguggenberger |
Publisher | : Routledge |
Total Pages | : 400 |
Release | : 2022-02-28 |
Genre | : Mathematics |
ISBN | : 1351428039 |
Questions regarding the interplay of nonlinearity and the creation and propagation of singularities arise in a variety of fields-including nonlinear partial differential equations, noise-driven stochastic partial differential equations, general relativity, and geometry with singularities. A workshop held at the Erwin-Schrödinger International Institute for Mathematical Physics in Vienna investigated these questions and culminated in this volume of invited papers from experts in the fields of nonlinear partial differential equations, structure theory of generalized functions, geometry and general relativity, stochastic partial differential equations, and nonstandard analysis. The authors provide the latest research relevant to work in partial differential equations, mathematical physics, and nonlinear analysis. With a focus on applications, this books provides a compilation of recent approaches to the problem of singularities in nonlinear models. The theory of differential algebras of generalized functions serves as the central theme of the project, along with its interrelations with classical methods.