Please use this identifier to cite or link to this item: https://libjncir.jncasr.ac.in/xmlui/handle/123456789/3259
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dc.contributor.authorGelfand, I. M.-
dc.contributor.authorShilov, G. E.-
dc.date.accessioned2022-08-01T08:07:42Z-
dc.date.available2022-08-01T08:07:42Z-
dc.date.issued2016-
dc.identifier.isbn978-1-4704-3124-2-
dc.identifier.urihttps://libjncir.jncasr.ac.in/xmlui/handle/123456789/3259-
dc.identifier.urihttps://doi.org/10.1090/chel/379-
dc.descriptionContact the library to access the ebook.en_US
dc.description.abstractThe 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. 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.en_US
dc.language.isoenen_US
dc.publisherAmerican Mathematical Society: AMS Chelsea Publishingen_US
dc.subjectTheory of distributions (Functional analysis)en_US
dc.subjectFunctional analysis -- Distributions, Generalized functions, Distribution spaces -- Distributions, Generalized functionsen_US
dc.subjectmscen_US
dc.titleGeneralized functions, Volume 3:en_US
dc.title.alternativeTheory of differential equationsen_US
dc.typeBooken_US
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