Generalized Functions, Convergence Structures, and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461310555
Total Pages : 432 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Generalized Functions, Convergence Structures, and Their Applications by : Bogoljub Stankovic

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.

Convergence of Generalized Functions

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Convergence of Generalized Functions by : A. Palanques-Mestre

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:

Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski

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Publisher : World Scientific
ISBN 13 : 9814611719
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski by : Piotr Antosik

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.

Generalised Functions

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Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Generalised Functions by : R. F. Hoskins

Download or read book Generalised Functions written by R. F. Hoskins and published by . This book was released on 1979 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Functions, Convergence Structures, and Their Applications

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Publisher :
ISBN 13 : 9781461310563
Total Pages : 468 pages
Book Rating : 4.3/5 (15 download)

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Book Synopsis Generalized Functions, Convergence Structures, and Their Applications by : Bogoljub Stankovic

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:

Generalized Functions in Mathematical Physics

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Publisher : Nova Publishers
ISBN 13 : 9781560729051
Total Pages : 154 pages
Book Rating : 4.7/5 (29 download)

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Book Synopsis Generalized Functions in Mathematical Physics by : A. S. Demidov

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.

Generalized Functions and Convergence

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Publisher : World Scientific Publishing Company
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Generalized Functions and Convergence by : Piotr Antosik

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.

Transform Analysis of Generalized Functions

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Publisher : Elsevier
ISBN 13 : 0080872301
Total Pages : 347 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Transform Analysis of Generalized Functions by : O.P. Misra

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.

Generalized Functions and Fourier Analysis

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Publisher : Birkhäuser
ISBN 13 : 3319519115
Total Pages : 280 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Generalized Functions and Fourier Analysis by : Michael Oberguggenberger

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.

Operational Calculus and Generalized Functions

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Publisher : Courier Corporation
ISBN 13 : 0486316327
Total Pages : 112 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Operational Calculus and Generalized Functions by : Arthur Erdelyi

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 112 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.

Integral Transforms of Generalized Functions and Their Applications

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Publisher : Routledge
ISBN 13 : 135156269X
Total Pages : 432 pages
Book Rating : 4.3/5 (515 download)

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Book Synopsis Integral Transforms of Generalized Functions and Their Applications by : Ram Shankar Pathak

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.

Distribution Theory and Transform Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486151948
Total Pages : 400 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Distribution Theory and Transform Analysis by : A.H. Zemanian

Download or read book Distribution Theory and Transform Analysis written by A.H. Zemanian and published by Courier Corporation. This book was released on 2011-11-30 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.

Methods of the Theory of Generalized Functions

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Publisher : CRC Press
ISBN 13 : 9780415273565
Total Pages : 332 pages
Book Rating : 4.2/5 (735 download)

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Book Synopsis Methods of the Theory of Generalized Functions by : V. S. Vladimirov

Download or read book Methods of the Theory of Generalized Functions written by V. S. Vladimirov and published by CRC Press. This book was released on 2002-08-15 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fourier series, abelian theorems, and boundary values of helomorphic functions for one and several variables. The author addresses several facets in depth, including convolution theory, convolution algebras and convolution equations in them, homogenous generalized functions, and multiplication of generalized functions. This book will meet the needs of researchers, engineers, and students of applied mathematics, control theory, and the engineering sciences.

Generalized Functions: Spaces of fundamental and generalized functions

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Publisher :
ISBN 13 :
Total Pages : 284 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Generalized Functions: Spaces of fundamental and generalized functions by : Izrailʹ Moiseevich Gelʹfand

Download or read book Generalized Functions: Spaces of fundamental and generalized functions written by Izrailʹ Moiseevich Gelʹfand and published by . This book was released on 1968 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Generalized Functions, Volume 1

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Publisher : American Mathematical Soc.
ISBN 13 : 1470426587
Total Pages : 450 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Generalized Functions, Volume 1 by : I. M. Gel′fand

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.

Delta Functions

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Publisher : Elsevier
ISBN 13 : 0857099353
Total Pages : 283 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Delta Functions by : R F Hoskins

Download or read book Delta Functions written by R F Hoskins and published by Elsevier. This book was released on 2009-03-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delta Functions has now been updated, restructured and modernised into a second edition, to answer specific difficulties typically found by students encountering delta functions for the first time. In particular, the treatment of the Laplace transform has been revised with this in mind. The chapter on Schwartz distributions has been considerably extended and the book is supplemented by a fuller review of Nonstandard Analysis and a survey of alternative infinitesimal treatments of generalised functions. Dealing with a difficult subject in a simple and straightforward way, the text is readily accessible to a broad audience of scientists, mathematicians and engineers. It can be used as a working manual in its own right, and serves as a preparation for the study of more advanced treatises. Little more than a standard background in calculus is assumed, and attention is focused on techniques, with a liberal selection of worked examples and exercises. Second edition has been updated, restructured and modernised to answer specific difficulties typically found by students encountering delta functions for the first time Attention is focused on techniques, with a liberal selection of worked examples and exercises Readily accessible to a broad audience of scientists, mathematicians and engineers and can be used as a working manual in its own right

Proceedings of the Conference on Convergence and

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Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (471 download)

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Book Synopsis Proceedings of the Conference on Convergence and by : Piotr Antosik

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: