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Author : A. Palanques-Mestre
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (897 download)
Download or read book Convergence of Generalized Functions written by A. Palanques-Mestre and published by . This book was released on 1994 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bogoljub Stankovic
Publisher : Springer Science & Business Media
ISBN 13 : 1461310555
Total Pages : 432 pages
Book Rating : 4.4/5 (613 download)
Download or read book Generalized Functions, Convergence Structures, and Their Applications written by Bogoljub Stankovic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Proceedings consists of a collection of papers presented at the International Conference "Generalized functions, convergence structures and their applications" held from June 23-27, 1987 in Dubrovnik, Yugoslavia (GFCA-87): 71 participants from 21 countr~es from allover the world took part in the Conference. Proceedings reflects the work of the Conference. Plenary lectures of J. Burzyk, J. F. Colombeau, W. Gahler, H. Keiter, H. Komatsu, B. Stankovic, H. G. Tillman, V. S. Vladimirov provide an up-to-date account of the cur rent state of the subject. All these lectures, except H. G. Tillman's, are published in this volume. The published communications give the contemporary problems and achievements in the theory of generalized functions, in the theory of convergence structures and in their applications, specially in the theory of partial differential equations and in the mathematical physics. New approaches to the theory of generalized functions are presented, moti vated by concrete problems of applications. The presence of articles of experts in mathematical physics contributed to this aim. At the end of the volume one can find presented open problems which also point to further course of development in the theory of generalized functions and convergence structures. We are very grateful to Mr. Milan Manojlovic who typed these Proce edings with extreme skill and diligence and with inexhaustible patience.
Author : I. M. Gel′fand
Publisher : American Mathematical Soc.
ISBN 13 : 1470426587
Total Pages : 450 pages
Book Rating : 4.4/5 (74 download)
Download or read book Generalized Functions, Volume 1 written by I. M. Gel′fand and published by American Mathematical Soc.. This book was released on 2016-04-19 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: he first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel′fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains main definitions and most important properties of generalized functions as functional on the space of smooth functions with compact support. The second chapter talks about the Fourier transform of generalized functions. In Chapter 3, definitions and properties of some important classes of generalized functions are discussed; in particular, generalized functions supported on submanifolds of lower dimension, generalized functions associated with quadratic forms, and homogeneous generalized functions are studied in detail. Many simple basic examples make this book an excellent place for a novice to get acquainted with the theory of generalized functions. A long appendix presents basics of generalized functions of complex variables.
Author : Michael Oberguggenberger
Publisher : Birkhäuser
ISBN 13 : 3319519115
Total Pages : 280 pages
Book Rating : 4.3/5 (195 download)
Download or read book Generalized Functions and Fourier Analysis written by Michael Oberguggenberger and published by Birkhäuser. This book was released on 2017-05-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume is a collection of chapters addressing these fields, their interaction, their unifying concepts and their applications and is based on scientific activities related to the International Association for Generalized Functions (IAGF) and the ISAAC interest groups on Pseudo-Differential Operators (IGPDO) and on Generalized Functions (IGGF), notably on the longstanding collaboration of these groups within ISAAC.
Author : Bogoljub Stankovic
Publisher :
ISBN 13 : 9781461310563
Total Pages : 468 pages
Book Rating : 4.3/5 (15 download)
Download or read book Generalized Functions, Convergence Structures, and Their Applications written by Bogoljub Stankovic and published by . This book was released on 1988-09-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ram P. Kanwal
Publisher : Springer Science & Business Media
ISBN 13 : 9780817640064
Total Pages : 478 pages
Book Rating : 4.6/5 (4 download)
Download or read book Generalized Functions Theory and Technique written by Ram P. Kanwal and published by Springer Science & Business Media. This book was released on 1998-01-01 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Piotr Antosik
Publisher : World Scientific
ISBN 13 : 9814611719
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)
Download or read book Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski written by Piotr Antosik and published by World Scientific. This book was released on 1990-09-12 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Author : I. M. Gel'fand
Publisher : American Mathematical Soc.
ISBN 13 : 1470426595
Total Pages : 274 pages
Book Rating : 4.4/5 (74 download)
Download or read book Generalized Functions, Volume 2 written by I. M. Gel'fand and published by American Mathematical Soc.. This book was released on 2016-03-30 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley-Wiener theorem.
Author : Ram Shankar Pathak
Publisher : Routledge
ISBN 13 : 135156269X
Total Pages : 432 pages
Book Rating : 4.3/5 (515 download)
Download or read book Integral Transforms of Generalized Functions and Their Applications written by Ram Shankar Pathak and published by Routledge. This book was released on 2017-07-05 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - researchers and graduate students alike - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject. The author presents the last two decades of research and includes important results from other works.
Author : A. S. Demidov
Publisher : Nova Publishers
ISBN 13 : 9781560729051
Total Pages : 154 pages
Book Rating : 4.7/5 (29 download)
Download or read book Generalized Functions in Mathematical Physics written by A. S. Demidov and published by Nova Publishers. This book was released on 2001 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book gives an interconnected presentation of some basic ideas, concepts, results of the theory of generalised functions (first of all, in the framework of the theory of distributions) and equations of mathematical physics. A part of the material is given according to the scheme: definition -- theorem -- proof. This scheme is convenient for presenting results in clear and concentrated form. However, it seems reasonable to give a student the possibility not only to study a priori given definitions and proofs of theorems, but also to discover them while considering the problems involved. A series of sections serve this purpose. Moreover, a part of the material is given as exercises and problems.
Author : O.P. Misra
Publisher : Elsevier
ISBN 13 : 0080872301
Total Pages : 347 pages
Book Rating : 4.0/5 (88 download)
Download or read book Transform Analysis of Generalized Functions written by O.P. Misra and published by Elsevier. This book was released on 1986-01-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series. Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here. The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.
Author : Piotr Antosik
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (471 download)
Download or read book Proceedings of the Conference on Convergence and written by Piotr Antosik and published by . This book was released on 1984 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael T. Vaughn
Publisher : John Wiley & Sons
ISBN 13 : 3527618864
Total Pages : 543 pages
Book Rating : 4.5/5 (276 download)
Download or read book Introduction to Mathematical Physics written by Michael T. Vaughn and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.
Author : Piotr Antosik
Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.:/5 (44 download)
Download or read book Generalized Functions and Convergence written by Piotr Antosik and published by World Scientific Publishing Company. This book was released on 1990 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The conference was devoted to the memory of the late Professor Jan Mikusinski. The proceedings is divided into three parts. The first one contains biographical materials and memoirs about Professor Mikusinski and his work. The second part is devoted to the theory of generalized functions and the third to convergence structures.
Author : R F Hoskins
Publisher : Elsevier
ISBN 13 : 0857099485
Total Pages : 307 pages
Book Rating : 4.8/5 (57 download)
Download or read book Theories of Generalised Functions written by R F Hoskins and published by Elsevier. This book was released on 2005-01-01 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explaining and comparing the various standard types of generalised functions which have been developed during the 20th Century, this text also contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions. The book could readily be used as a main text on generalised functions for mathematical undergraduates in final year analysis courses, as it presupposes little more than a general mathematical background. It also makes a valuable reference text for non-specific applied mathematics students, such as physicists or electrical engineers, needing to gain expertise in the application of generalised functions to physical problems, without any prior acquaintance of the specialised subject matter. An ideal companion book to Delta Functions, also by Professor Hoskins. Explains and compares the various standard types of generalised functions that have been developed during the 20th Century Contains accounts of recent non-standard theories of distributions, ultradistributions and Stato-hyperfunctions
Author : Piotr Antosik
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (256 download)
Download or read book Proceedings of the Conference on Convergence and Generalized Functions written by Piotr Antosik and published by . This book was released on 1983 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur Erdelyi
Publisher : Courier Corporation
ISBN 13 : 0486316327
Total Pages : 114 pages
Book Rating : 4.4/5 (863 download)
Download or read book Operational Calculus and Generalized Functions written by Arthur Erdelyi and published by Courier Corporation. This book was released on 2013-07-24 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this brief monograph examines elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators. Solutions. 1962 edition.
