Generalized Functions, Volume 3: Theory of Differential Equations
I. M. Gelfand, G. E. Shilov
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.
年:
2016
出版社:
American Mathematical Society
语言:
english
页:
222
ISBN 10:
1470426617
ISBN 13:
9781470426613
系列:
AMA Chelsea Publishing; 379
文件:
DJVU, 1.79 MB
IPFS:
,
english, 2016
Amazon 
Barnes & Noble 
Bookshop.org 
转换文件
更多搜索结果
其他特权 关键词
关联书单
