MARC Record from harvard_bibliographic_metadata

LEADER: 03170nam a22004935a 4500
001 014157913-7
005 20141003190324.0
008 130920s2013 xxu| o ||0| 0|eng d
020 $a9781461479246
020 $a9781461479239 (ebk.)
020 $a9781461479246
020 $a9781461479239
024 7 $a10.1007/978-1-4614-7924-6$2doi
035 $a(Springer)9781461479246
040 $aSpringer
050 4 $aQA299.6-433
072 7 $aMAT034000$2bisacsh
072 7 $aPBK$2bicssc
082 04 $a515$223
100 1 $aKrantz, Steven G.,$eauthor.
245 10 $aGeometric Analysis of the Bergman Kernel and Metric /$cby Steven G. Krantz.
264 1 $aNew York, NY :$bSpringer New York :$bSpringer,$c2013.
300 $aXIII, 292 p. 7 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aGraduate Texts in Mathematics,$x0072-5285 ;$v268
505 0 $aPreface -- 1. Introductory Ideas -- 2. The Bergman Metric -- 3. Geometric and Analytic Ideas -- 4. Partial Differential Equations -- 5. Further Geometric Explorations -- 6. Additional Analytic Topics -- 7. Curvature of the Bergman Metric -- 8. Concluding Remarks -- Table of Notation -- Bibliography -- 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, it presents 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 20 $aDifferential equations, Partial.
650 20 $aFunctional analysis.
650 20 $aGeometry, Differential.
650 10 $aMathematics.
650 0 $aGlobal analysis (Mathematics)
650 0 $aDifferential equations, partial.
650 0 $aFunctional analysis.
650 0 $aGlobal differential geometry.
650 0 $aMathematics.
650 24 $aAnalysis.
776 08 $iPrinted edition:$z9781461479239
830 0 $aGraduate Texts in Mathematics ;$v268.
988 $a20140910
906 $0VEN