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010   $a3-319-19527-1
024 7 $a10.1007/978-3-319-19527-8
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035   $a(DE-He213)978-3-319-19527-8
035   $a(MiAaPQ)EBC5577803
035   $a(PPN)188457216
035   $a(EXLCZ)993710000000454129
100   $a20150713d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aTheory of Distributions /$fby Svetlin G. Georgiev
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (VIII, 218 p.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-19526-3 
320   $aIncludes bibliographical references and index.
327   $a1 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.
330   $aThis 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.
606   $aFunctional analysis
606   $aDifferential equations
606   $aDifferential equations, Partial
606   $aFourier analysis
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
615  0$aFunctional analysis.
615  0$aDifferential equations.
615  0$aDifferential equations, Partial.
615  0$aFourier analysis.
615 14$aFunctional Analysis.
615 24$aOrdinary Differential Equations.
615 24$aPartial Differential Equations.
615 24$aFourier Analysis.
676   $a515.782
700   $aGeorgiev$b Svetlin G$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755241
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299787503321
996   $aTheory of distributions$91522688
997   $aUNINA