03280nam 22006735 450 991029978750332120200705051450.03-319-19527-110.1007/978-3-319-19527-8(CKB)3710000000454129(SSID)ssj0001558643(PQKBManifestationID)16184113(PQKBTitleCode)TC0001558643(PQKBWorkID)14819306(PQKB)11407365(DE-He213)978-3-319-19527-8(MiAaPQ)EBC5577803(PPN)188457216(EXLCZ)99371000000045412920150713d2015 u| 0engurnn|008mamaatxtccrTheory of Distributions /by Svetlin G. Georgiev1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (VIII, 218 p.) Bibliographic Level Mode of Issuance: Monograph3-319-19526-3 Includes bibliographical references and index.1 Introduction -- 2 Generalities on distributions -- 3 Differentiation -- 4 Homogeneous distributions -- 5 Direct product of distributions -- 6 Convolutions -- 7 Tempered distributions -- 8 Integral transforms -- 9 Fundamental solutions -- 10 Sobolev spaces.This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.Functional analysisDifferential equationsDifferential equations, PartialFourier analysisFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Fourier Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12058Functional analysis.Differential equations.Differential equations, Partial.Fourier analysis.Functional Analysis.Ordinary Differential Equations.Partial Differential Equations.Fourier Analysis.515.782Georgiev Svetlin Gauthttp://id.loc.gov/vocabulary/relators/aut755241MiAaPQMiAaPQMiAaPQBOOK9910299787503321Theory of distributions1522688UNINA