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035   $a(OCoLC)851970512
035   $a(OCoLC)853258376
035   $a(DE-B1597)9783110298512
035   $a(Au-PeEL)EBL1113319
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100   $a20130624d2013      uy         0
101 0 $aeng
135   $aurcn#nnn|||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDistribution theory $econvolution, Fourier transform, and Laplace transform /$fGerrit van Dijk
205   $a1st ed.
210   $aBerlin $cDe Gruyter$d2013
215   $a1 online resource (viii, 105 pages) $cillustrations
225 0 $aDe Gruyter Textbook
225  0$aDe Gruyter graduate lectures
300   $aDescription based upon print version of record.
311   $a3-11-029591-1 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tPreface --$tContents --$t1 Introduction --$t2 Definition and First Properties of Distributions --$t3 Differentiating Distributions --$t4 Multiplication and Convergence of Distributions --$t5 Distributions with Compact Support --$t6 Convolution of Distributions --$t7 The Fourier Transform --$t8 The Laplace Transform --$t9 Summable Distributions --$t10 Appendix --$t11 Hints to the Exercises --$tReferences --$tIndex --$tBackmatter
330   $aThe theory of distributions has numerous applications and is extensively used in mathematics, physics and engineering. There is however relatively little elementary expository literature on distribution theory. This book is intended as an introduction. Starting with the elementary theory of distributions, it proceeds to convolution products of distributions, Fourier and Laplace transforms, tempered distributions, summable distributions and applications. The theory is illustrated by several examples, mostly beginning with the case of the real line and then followed by examples in higher dimensions. This is a justified and practical approach, it helps the reader to become familiar with the subject. A moderate number of exercises are added.
410  0$aDe Gruyter graduate lectures.
606   $aTheory of distributions (Functional analysis)
606   $aConvolutions (Mathematics)
606   $aFourier transformations
606   $aLaplace transformation
610   $aDistribution Theory.
610   $aFourier Transform.
610   $aHeat Equation.
610   $aLaplace Transform.
610   $aTempered Distribution.
615  0$aTheory of distributions (Functional analysis)
615  0$aConvolutions (Mathematics)
615  0$aFourier transformations.
615  0$aLaplace transformation.
676   $a515.782
686   $aSK 600$2rvk
700   $aDijk$b Gerrit van$f1939-$01636321
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910823360403321
996   $aDistribution theory$93977537
997   $aUNINA