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Generalized Functions Properties And Operations By I M Gelʹfand And G E Shilov Translated By E Saletan Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Generalized Functions Properties And Operations By I M Gelʹfand And G E Shilov Translated By E Saletan book. This book definitely worth reading, it is an incredibly well-written.
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 0 pages
File Size : 41,6 Mb
Release : 1964
Category : Differential equations
ISBN : 0122795016
Author : Izrail Moiseevich Gelfand
Publisher : Unknown
Page : 423 pages
File Size : 47,8 Mb
Release : 1966
Category : Theory of distributions (Functional analysis)
ISBN : OCLC:1024949565
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 423 pages
File Size : 40,8 Mb
Release : 1964
Category : MATHEMATICS
ISBN : OCLC:264158580
Author : I. M. Gel′fand,G. E. Shilov
Publisher : American Mathematical Soc.
Page : 423 pages
File Size : 45,7 Mb
Release : 2016-04-19
Category : Theory of distributions (Functional analysis)
ISBN : 9781470426583
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 : Izrailʹ Moiseevich Gelʹfand,Georgij Evgenʹevič Šilov
Publisher : Unknown
Page : 0 pages
File Size : 44,7 Mb
Release : 1964
Category : Functions
ISBN : OCLC:489722598
Author : Izrail Moiseevic Gelfand,G. E. Shilov
Publisher : Unknown
Page : 423 pages
File Size : 43,6 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:488765068
Author : Anonim
Publisher : Unknown
Page : 423 pages
File Size : 44,7 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:615521868
Author : I.M. Gel'fand,G.E. Shilov
Publisher : Unknown
Page : 128 pages
File Size : 47,7 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:472207758
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 454 pages
File Size : 50,6 Mb
Release : 1964
Category : Functions
ISBN : UOM:39015017131981
Author : Izrailʹ Moiseevich Gelʹfand
Publisher : Unknown
Page : 128 pages
File Size : 53,7 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:1067412029
Author : Izrail’ Moiseevič Gel’fand
Publisher : Unknown
Page : 0 pages
File Size : 45,5 Mb
Release : 1969
Category : Electronic
ISBN : OCLC:488765068
Author : I. M. Gel'fand,G. E. Shilov
Publisher : American Mathematical Soc.
Page : 261 pages
File Size : 55,5 Mb
Release : 2016-03-30
Category : Theory of distributions (Functional analysis)
ISBN : 9781470426590
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 : I. M. Gel'fand,Georgi E. Silov
Publisher : Unknown
Page : 0 pages
File Size : 48,8 Mb
Release : 1977-07
Category : Functions
ISBN : 0122795024
Author : Izrail Moiseevic Gelfand,G. E. Shilov
Publisher : Unknown
Page : 261 pages
File Size : 42,9 Mb
Release : 1968
Category : Electronic
ISBN : OCLC:472163491
Author : Izrail Moiseevitch Gelfand,Georgij Evgenʹevič Šilov,Naum Âkovlevič Vilenkin,Mark Iosifovich Graev
Publisher : Unknown
Page : 1738 pages
File Size : 54,6 Mb
Release : 1964
Category : Electronic
ISBN : LCCN:63016960
