03418nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100024002500118040002500143050001400168072001700182072002300199072001600222082001600238100008000254245016100334264008200495300003300577336002600610337002600636338003600662347002400698490004000722520135900762650003702121650002102158650002202179650002402201650010702225650009202332650009302424650012202517650009502639710003402734773002002768776003602788776003602824830004002860856003602900978-3-540-26964-9DE-He21320181203160146.0cr nn 008mamaa100301s2005 gw | s |||| 0|eng d a97835402696497 a10.1007/b1383752doi aISI Library, Kolkata 4aQA370-380 7aPBKJ2bicssc 7aMAT0070002bisacsh 7aPBKJ2thema04a515.3532231 aHörmander, Lars.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut14aThe Analysis of Linear Partial Differential Operators IIh[electronic resource] :bDifferential Operators with Constant Coefficients /cby Lars Hörmander. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg :bImprint: Springer,c2005. aXI, 395 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aClassics in Mathematics,x1431-0821 aThis volume is an expanded version of Chapters III, IV, V and VII of my 1963 book "Linear partial differential operators". In addition there is an entirely new chapter on convolution equations, one on scattering theory, and one on methods from the theory of analytic functions of several complex variables. The latter is somewhat limited in scope though since it seems superfluous to duplicate the monographs by Ehrenpreis and by Palamodov on this subject. The reader is assumed to be familiar with distribution theory as presented in Volume I. Most topics discussed here have in fact been encountered in Volume I in special cases, which should provide the necessary motivation and background for a more systematic and precise exposition. The main technical tool in this volume is the Fourier- Laplace transformation. More powerful methods for the study of operators with variable coefficients will be developed in Volume III. However, constant coefficient theory has given the guidance for all that work. Although the field is no longer very active - perhaps because of its advanced state of development - and although it is possible to pass directly from Volume I to Volume III, the material presented here should not be neglected by the serious student who wants to gain a balanced perspective of the theory of linear partial differential equations. 0aDifferential equations, partial. 0aOperator theory. 0aFourier analysis. 0aNumerical analysis.14aPartial Differential Equations.0http://scigraph.springernature.com/things/product-market-codes/M1215524aOperator Theory.0http://scigraph.springernature.com/things/product-market-codes/M1213924aFourier Analysis.0http://scigraph.springernature.com/things/product-market-codes/M1205824aSeveral Complex Variables and Analytic Spaces.0http://scigraph.springernature.com/things/product-market-codes/M1219824aNumerical Analysis.0http://scigraph.springernature.com/things/product-market-codes/M140502 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z978354022516408iPrinted edition:z9783540121398 0aClassics in Mathematics,x1431-082140uhttps://doi.org/10.1007/b138375