Generalized Functions Volume 2
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Generalized Functions Volume 2
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Author : I. M. Gel'fand
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-03-30
Generalized Functions Volume 2 written by I. M. Gel'fand and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Theory of distributions (Functional analysis) categories.
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.
Generalized Functions Volume 2
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Author : I. M. Gel′fand
language : en
Publisher:
Release Date : 1964
Generalized Functions Volume 2 written by I. M. Gel′fand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Theory of distributions (Functional analysis) categories.
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. Gel2 and 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.
Generalized Functions Volume 1
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Author : I. M. Gel′fand
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-19
Generalized Functions Volume 1 written by I. M. Gel′fand and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Theory of distributions (Functional analysis) categories.
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.
Spaces Of Fundamental And Generalized Functions
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Author : I. M. Gel'Fand
language : en
Publisher: Academic Press
Release Date : 2013-09-03
Spaces Of Fundamental And Generalized Functions written by I. M. Gel'Fand and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-03 with Mathematics categories.
Spaces of Fundamental and Generalized Functions, Volume 2, analyzes the general theory of linear topological spaces. The basis of the theory of generalized functions is the theory of the so-called countably normed spaces (with compatible norms), their unions (inductive limits), and also of the spaces conjugate to the countably normed ones or their unions. This set of spaces is sufficiently broad on the one hand, and sufficiently convenient for the analyst on the other. The book opens with a chapter that discusses the theory of these spaces. This is followed by separate chapters on fundamental and generalized functions, Fourier transformations of fundamental and generalized functions, and spaces of type S.
Generalized Functions
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Author : Izrail Moiseevitch Gelfand
language : en
Publisher:
Release Date : 1964
Generalized Functions written by Izrail Moiseevitch Gelfand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
Generalized Functions In New Forms 2
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Author : Mohamed Tarek Ouda
language : en
Publisher: CreateSpace
Release Date : 2012-10-18
Generalized Functions In New Forms 2 written by Mohamed Tarek Ouda and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with categories.
This book includes new mathematical forms for generalized functions
Generalized Functions Vol 3
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Author : Izrail Moiseevic Gelfand
language : en
Publisher:
Release Date : 1967
Generalized Functions Vol 3 written by Izrail Moiseevic Gelfand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Generalized Functions
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FREE 30 Days
Author : Izrail Moiseevitch Gelfand
language : en
Publisher:
Release Date : 1964
Generalized Functions written by Izrail Moiseevitch Gelfand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.
New Mathematical Forms For Generalized Functions 2
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Author : Mohamed Tarek Ouda
language : en
Publisher: CreateSpace
Release Date : 2012-10-13
New Mathematical Forms For Generalized Functions 2 written by Mohamed Tarek Ouda and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-13 with categories.
This book includes new mathematical forms for generalized functions, differential and integral generalized functions, and addition and multiplication generalized functions.
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.