Generalized Functions And Operational Calculus
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Operational Calculus And Generalized Functions
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Author : Arthur Erdelyi
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24
Operational Calculus And Generalized Functions written by Arthur Erdelyi and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.
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.
Operational Calculus And Generalized Functions
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Author : Arthur Erdélyi
language : en
Publisher: Harcourt Brace College Publishers
Release Date : 1962
Operational Calculus And Generalized Functions written by Arthur Erdélyi and has been published by Harcourt Brace College Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus, Operational categories.
Integral Transformations Operational Calculus And Generalized Functions
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Author : R. G. Buschman
language : en
Publisher:
Release Date : 2014-09-01
Integral Transformations Operational Calculus And Generalized Functions written by R. G. Buschman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Operational Calculus And Related Topics
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Author : A. P. Prudnikov
language : en
Publisher: CRC Press
Release Date : 2006-08-15
Operational Calculus And Related Topics written by A. P. Prudnikov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-15 with Mathematics categories.
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan
Lectures On Mikusi Ski S Theory Of Operational Calculus And Generalized Functions
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Author : Arthur Erdélyi
language : en
Publisher:
Release Date : 1959
Lectures On Mikusi Ski S Theory Of Operational Calculus And Generalized Functions written by Arthur Erdélyi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Calculus, Operational categories.
Operational Calculus
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Author : Thomas K. Boehme
language : en
Publisher: Elsevier
Release Date : 2014-08-01
Operational Calculus written by Thomas K. Boehme and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Mathematics categories.
Operational Calculus, Volume II is a methodical presentation of operational calculus. An outline of the general theory of linear differential equations with constant coefficients is presented. Integral operational calculus and advanced topics in operational calculus, including locally integrable functions and convergence in the space of operators, are also discussed. Formulas and tables are included. Comprised of four sections, this volume begins with a discussion on the general theory of linear differential equations with constant coefficients, focusing on such topics as homogeneous and non-homogeneous equations and applications of operational calculus to partial differential equations. The section section deals with the integral of an operational function and its applications, along with integral transformations. A definition of operators in terms of abstract algebra is then presented. Operators as generalized functions, power series of operators, and Laplace transform are also discussed. Formulas of the operational calculus and tables of functions round out the book. This monograph will be useful to engineers, who regard the operational calculus merely as a tool in their work, and readers who are interested in proofs of theorems and mathematical problems.
Distribution Theory And Transform Analysis
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Author : A.H. Zemanian
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30
Distribution Theory And Transform Analysis written by A.H. Zemanian and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
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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Author : V. S. Vladimirov
language : en
Publisher: CRC Press
Release Date : 2002-08-15
Methods Of The Theory Of Generalized Functions written by V. S. Vladimirov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-15 with Mathematics categories.
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
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Author : Ram P. Kanwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Generalized Functions written by Ram P. Kanwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
Generalized Functions And Direct Operational Methods
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Author : Thomas Phillip George Liverman
language : en
Publisher:
Release Date : 1964
Generalized Functions And Direct Operational Methods written by Thomas Phillip George Liverman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Calculus, Operational categories.