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Generalized Functions Applications Of Harmonic Analysis By I M Gelʹfand And N Y Vilenkin 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 Applications Of Harmonic Analysis By I M Gelʹfand And N Y Vilenkin book. This book definitely worth reading, it is an incredibly well-written.
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 128 pages
File Size : 45,8 Mb
Release : 1964
Category : Theory of distributions (Functional analysis)
ISBN : OCLC:528617
Author : I.M. Gel'fand
Publisher : Unknown
Page : 384 pages
File Size : 49,8 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:963823996
Author : I. M. Gel'fand,N. Ya. Vilenkin
Publisher : Academic Press
Page : 399 pages
File Size : 43,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483262246
Generalized Functions, Volume 4: Applications of Harmonic Analysis is devoted to two general topics—developments in the theory of linear topological spaces and construction of harmonic analysis in n-dimensional Euclidean and infinite-dimensional spaces. This volume specifically discusses the bilinear functionals on countably normed spaces, Hilbert-Schmidt operators, and spectral analysis of operators in rigged Hilbert spaces. The general form of positive generalized functions on the space S, continuous positive-definite functions, and conditionally positive generalized functions are also deliberated. This publication likewise considers the mean of a generalized random process, multidimensional generalized random fields, simplest properties of cylinder sets, and definition of Gaussian measures. This book is beneficial to students, specialists, and researchers aiming to acquire knowledge of functional analysis.
Author : Izrail Moiseevitch Gelfand,Naum I︠A︡kovlevich Vilenkin
Publisher : Unknown
Page : 384 pages
File Size : 43,9 Mb
Release : 1964
Category : Theory of distributions (Functional analysis)
ISBN : OCLC:716535127
Author : I. M. Gel′fand,N. Ya. Vilenkin
Publisher : American Mathematical Soc.
Page : 384 pages
File Size : 41,5 Mb
Release : 2016-04-19
Category : Theory of distributions (Functional analysis)
ISBN : 9781470426620
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. The main goal of Volume 4 is to develop the functional analysis setup for the universe of generalized functions. The main notion introduced in this volume is the notion of rigged Hilbert space (also known as the equipped Hilbert space, or Gelfand triple). Such space is, in fact, a triple of topological vector spaces E⊂H⊂E′, where H is a Hilbert space, E′ is dual to E, and inclusions E⊂H and H⊂E′ are nuclear operators. The book is devoted to various applications of this notion, such as the theory of positive definite generalized functions, the theory of generalized stochastic processes, and the study of measures on linear topological spaces.
Author : I. M. Gel′fand,G. E. Shilov
Publisher : American Mathematical Soc.
Page : 423 pages
File Size : 53,9 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 Moiseevič Gelʹfand (Mathématicien)
Publisher : Unknown
Page : 384 pages
File Size : 44,6 Mb
Release : 1964
Category : Electronic
ISBN : OCLC:636367893
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 0 pages
File Size : 41,9 Mb
Release : 2016
Category : Theory of distributions (Functional analysis)
ISBN : LCCN:2015040021
Author : Izrailʹ Moiseevich Gelʹfand,Georgiĭ Evgenʹevich Shilov
Publisher : Unknown
Page : 412 pages
File Size : 47,8 Mb
Release : 1964
Category : Functions
ISBN : UOM:39015038871219
Author : V.P. Havin,N.K. Nikol'skij
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642578540
Aimed at readers who have learned the principles of harmonic analysis, this book provides a variety of perspectives on this very important classical subject. The authors have written a truly outstanding book which distinguishes itself by its excellent expository style.
Author : Izrailʹ Moiseevich Gelʹfand,Naum I︠A︡kovlevich Vilenkin
Publisher : Unknown
Page : 384 pages
File Size : 52,5 Mb
Release : 1964
Category : Functions
ISBN : OCLC:12563264
Author : I. M. Gel'fand,G. E. Shilov
Publisher : American Mathematical Soc.
Page : 261 pages
File Size : 46,5 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 : Izrail Moiseevitch Gelfand,Georgij Evgenʹevič Šilov,Naum Âkovlevič Vilenkin,Mark Iosifovich Graev
Publisher : Unknown
Page : 1738 pages
File Size : 43,8 Mb
Release : 1964
Category : Electronic
ISBN : LCCN:63016960
Author : Izrail' Moiseevich Gelfand
Publisher : Unknown
Page : 384 pages
File Size : 44,6 Mb
Release : 1964
Category : Theory of distributions (Functional analysis)
ISBN : OCLC:183442820
Author : Izrail Moiseevic Gelfand
Publisher : Unknown
Page : 0 pages
File Size : 51,7 Mb
Release : 1967
Category : Electronic
ISBN : OCLC:760033983
