MARC Record from Library of Congress

LEADER: 03030cam a22004097i 4500
001 2013944372
003 DLC
005 20151008075627.0
008 130703s2013 nyua b 001 0 eng d
010 $a 2013944372
015 $aGBB354089$2bnb
016 7 $a016429782$2Uk
020 $a1461479231 (hbk : acid-free paper)
020 $a9781461479239 (hbk : acid-free paper)
020 $z146147924X (eBook)
020 $z9781461479246 (eBook)
035 $a(OCoLC)ocn841520672
040 $aYDX$beng$cYDX$erda$dBTCTA$dUKMGB$dAFU$dOHX$dCLS$dOCLCO$dOCLCF$dIQU$dIXA$dAU@$dOCLCQ$dDLC
042 $alccopycat
050 00 $aQA331$b.K7613 2013
072 7 $aQA$2lcco
082 04 $a515.98$223
100 1 $aKrantz, Steven G.$q(Steven George),$d1951-$eauthor.
245 10 $aGeometric analysis of the Bergman kernel and metric /$cSteven G. Krantz.
246 30 $aBergman kernel and metric
264 1 $aNew York :$bSpringer,$c[2013]
300 $axiii, 292 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aGraduate texts in mathematics,$x0072-5285 ;$v268
504 $aIncludes bibliographical references (pages 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.
520 $aThis text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, itpresents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory.--$cSource other than the Library of Congress.
650 0 $aBergman kernel functions.
650 7 $aBergman kernel functions.$2fast$0(OCoLC)fst00830721
830 0 $aGraduate texts in mathematics ;$v268.