Generalized Functions, Convergence Structures, and Their Applications

Generalized Functions, Convergence Structures, and Their Applications PDF Author: Bogoljub Stankovic
Publisher: Springer Science & Business Media
ISBN: 1461310555
Category : Mathematics
Languages : en
Pages : 432

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Book Description
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.

Generalized Functions, Convergence Structures, and Their Applications

Generalized Functions, Convergence Structures, and Their Applications PDF Author: Bogoljub Stankovic
Publisher: Springer Science & Business Media
ISBN: 1461310555
Category : Mathematics
Languages : en
Pages : 432

Get Book Here

Book Description
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

Convergence of Generalized Functions PDF Author: A. Palanques-Mestre
Publisher:
ISBN:
Category :
Languages : en
Pages : 32

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Book Description


Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski

Generalized Functions And Convergence: Memorial Volume For Professor Jan Mikusinski PDF Author: Piotr Antosik
Publisher: World Scientific
ISBN: 9814611719
Category :
Languages : en
Pages : 398

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Book Description
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.

Generalized Functions and Fourier Analysis

Generalized Functions and Fourier Analysis PDF Author: Michael Oberguggenberger
Publisher: Birkhäuser
ISBN: 3319519115
Category : Mathematics
Languages : en
Pages : 276

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Book Description
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.

Generalised Functions

Generalised Functions PDF Author: R. F. Hoskins
Publisher:
ISBN:
Category : Teoría de las distribuciones (Análisis funcional)
Languages : en
Pages : 200

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Book Description


Generalized Functions in Mathematical Physics

Generalized Functions in Mathematical Physics PDF Author: A. S. Demidov
Publisher: Nova Publishers
ISBN: 9781560729051
Category : Mathematics
Languages : en
Pages : 154

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Book Description
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, Convergence Structures, and Their Applications

Generalized Functions, Convergence Structures, and Their Applications PDF Author: Bogoljub Stankovic
Publisher:
ISBN: 9781461310563
Category :
Languages : en
Pages : 468

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Book Description


Integral Transforms of Generalized Functions and Their Applications

Integral Transforms of Generalized Functions and Their Applications PDF Author: Ram Shankar Pathak
Publisher: Routledge
ISBN: 135156269X
Category : History
Languages : en
Pages : 432

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Book Description
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.

Transform Analysis of Generalized Functions

Transform Analysis of Generalized Functions PDF Author: O.P. Misra
Publisher: Elsevier
ISBN: 9780080872308
Category : Mathematics
Languages : en
Pages : 331

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Book Description
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.

Operational Calculus and Generalized Functions

Operational Calculus and Generalized Functions PDF Author: Arthur Erdelyi
Publisher: Courier Corporation
ISBN: 0486316327
Category : Mathematics
Languages : en
Pages : 112

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Book Description
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.