Generalized Functions: Applications of Harmonic Analysis (AMS Chelsea Publishing)

I. M. Gelfand; N. Ya Vilenkin

ISBN 10: 1470426625 ISBN 13: 9781470426620

Editorial: American Mathematical Society, 2016

Idioma: Ingl�s

Condici�n: Usado - Aceptable Encuadernaci�n de tapa dura

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Descripci�n

Shelf and handling wear to cover and binding, with general signs of previous use. Binding and pages are intact. All pages are clear from notations. Light scuffing and bumping visible to boards. Dust jacket is wrapped in its original mylar. Secure packaging for safe delivery. 1.9.

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Detalles bibliogr�ficos

T�tulo: Generalized Functions: Applications of Harmonic Analysis (AMS Chelsea Publishing)
Editor: American Mathematical Society
Fecha de publicaci�n: 2016
Idioma: Ingl�s
ISBN 10: 1470426625
ISBN 13: 9781470426620
Encuadernaci�n: Hardcover
Estado: Good
Estado de la sobrecubierta: No Jacket
Peso: 1,9 libras

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Sinopsis

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. Gelfand 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 $E \subset H \subset E'$, where $H$ is a Hilbert space, $E'$ is dual to $E$, and inclusions $E\subset H$ and $H\subset E'$ 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.

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Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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