Generalized Functions, Volume 3 Theory of Differential Equations

Gelfand, I. M./ Shilov, G. E.

ISBN 10: 1470426617 / ISBN 13: 9781470426613

Published by Chelsea Pub Co, 2016

About this Item

222 pages. 10.00x7.50x0.50 inches. In Stock. Seller Inventory # 1470426617

Bibliographic Details

Title: Generalized Functions, Volume 3 Theory of ...

Publisher: Chelsea Pub Co

Publication Date: 2016

Binding: Hardcover

Condition: Brand New

About this title

Synopsis:

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. In Volume 3, applications of generalized functions to the Cauchy problem for systems of partial differential equations with constant coefficients are considered. The book includes the study of uniqueness classes of solutions of the Cauchy problem and the study of classes of functions where the Cauchy problem is well posed. The last chapter of this volume presents results related to spectral decomposition of differential operators related to generalized eigenfunctions.