MARC Record from harvard_bibliographic_metadata

LEADER: 02649cam a2200337Ia 4500
001 013790651-X
005 20131108191151.0
008 130501s2013 nyu b 001 0 eng d
016 7 $a016429782$2Uk
020 $a1461479231
020 $a9781461479239
035 0 $aocn841520672
040 $aYDX$cYDX$dBTCTA$dUKMGB$dAFU$dOHX$dCLS
050 4 $aQA331$b.K73 2013
072 7 $aQA$2lcco
090 $aQA331$b.K73 2013
100 1 $aKrantz, Steven G.$q(Steven George),$d1951-$eauthor.
245 10 $aGeometric analysis of the Bergman kernel and metric / Steven G. Krantz.
246 30 $aBergman kernel and metric
260 $aNew York :$bSpringer-Verlag,$cc2013.
300 $axiii, 292 p. ;$c25 cm.
490 1 $aGraduate texts in mathematics,$x0072-5285 ;$v268
504 $aIncludes bibliographical references (p. 277-285) and index.
505 00 $tIntroductory Ideas --$tThe Bergman Metric --$tGeometric and Analytic Ideas --$tPartial Differential Equations --$tFurther Geometric Explorations --$tAdditional Analytic Topics --$tCurvature of the Bergman Metric --$tConcluding Remarks.
504 $aIncludes bibliographical references (pages 277-285) and index.
520 $aThis text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric.Moreover, itpresents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory.
650 0 $aBergman kernel functions.
830 0 $aGraduate texts in mathematics ;$v268.
988 $a20131002
049 $aCLSL
906 $0OCLC