ler totalmente Generalized Functions, Volume 3: Theory of Differential Equations

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.

Procurando Generalized Functions, Volume 3: Theory of Differential Equations? Aqui você encontra tudo sobre este livro de G.E. Shilov, publicado por American Mathematical Society em 30 de março de 2016. Nesta página estão a descrição da obra, os detalhes da edição (222 páginas) e os formatos disponíveis para baixar: pdf, epub, txt, djvu. Se você gosta de Livros Internacionais, Ciências Tecnológicas, Matemática, Aplicada, Equações Diferenciais, explore também outros títulos da mesma categoria no Encontrando os melhores livros. Veja ainda as outras obras de G.E. Shilov em nosso catálogo.