Generalized Functions, Volumes 1-6

Inbunden, Engelska, 2016

AvI.M. Gel'fand,M.I. Graev,I.I. Pyatetskii-Shapiro,G.E. Shilov,N. Ya. Vilenkin

5 229 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

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.

Produktinformation

Utgivningsdatum2016-04-30
Mått178 x 254 x undefined mm
Vikt5 169 g
FormatInbunden
SpråkEngelska
SerieChelsea Publications
Antal sidor2 165
FörlagAmerican Mathematical Society
ISBN9781470428853

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Volume 1: Definition and simplest properties of generalized functionsFourier transforms of generalized functionsParticular types of generalized functionsSummary of fundamental definitions and equations of volume ITable of Fourier transformsProof of the completeness of the generalized-function spaceGeneralized functions of complex variablesNotes and references to the literatureBibliographyIndexIndex of particular generalized functionsVolume 2: Linear topological spacesFundamental and generalized functionsFourier transformations of fundamental and generalized functionsSpaces of type $S$Generalization of spaces of type $S$Notes and referencesBibliographyIndexVolume 3: Spaces of type $W$Uniqueness classes for the Cauchy problemCorrectness classes for the Cauchy problemGeneralized eigenfunction expansionsNotes and referencesBibliographyIndexVolume 4: The kernel theoremNuclear spacesRigged Hilbert spacePositive and positive-definite generalized functionsGeneralized random processesMeasures in linear topological spacesNotes and references to the literatureBibliographySubject indexVolume 5: Radon transform of test functions and generalized functions on a real affine spaceIntegral transforms in the complex domainRepresentations of the group of complex unimodular matrices in two dimensionsHarmonic analysis on the group of complex unimodular matrices in two dimensionsIntegral geometry in a space of constant curvatureHarmonic analysis on spaces homogeneous with respect to the Lorentz groupRepresentations of the group of real unimodular matrices in two dimensionsNotes and references to the literatureBibliographyIndexIndex of Radon transforms of particular functionsVolume 6: Homogeneous spaces with a discrete stability groupRepresentations of the group of unimodular matrices of order 2 with elements from a locally compact topological fieldRepresentations of adele groupsGuide to the literatureBibliographyIndex of namesSubject index