LEADER 02277nam  2200277 i 4500
001 991004266238407536
005 20240319102525.0
008 230306s2013    nyu     r    |00| 0 eng d 
020   $a9781493944293
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a515.7
084   $aLC QA374
084   $aAMS 30H20
100 1 $aKrantz, Steven G.$055961
245 10$aGeometric analysis of the Bergman Kernel and metric /$cby Steven G. Krantz
260   $aNew York, NY :$bSpringer,$c2013
490 0 $aGraduate Texts in Mathematics,$x2197-5612 ;$v268
520   $aThis text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric.[xc2][xa0]Moreover, it[xc2][xa0]presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory
650 04$aPartial Differential Equations
650 04$aFunctional Analysis
650 04$aDifferential Geometry
650 04$aAnalysis (Mathematics)
856 4 $qPDF$uhttps://doi.org/10.1007/978-1-4614-7924-6
912   $a991004266238407536
996   $aGeometric analysis of the Bergman Kernel and metric$9838043
997   $aUNISALENTO