000			03404nam a22005297a 4500
001			sulb-eb0022876
003			BD-SySUS
005			20160413122323.0
007			cr nn 008mamaa
008			130920s2013 xxu| s |||| 0|eng d
020			_a9781461479246 _9978-1-4614-7924-6
024	7		_a10.1007/978-1-4614-7924-6 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aKrantz, Steven G. _eauthor.
245	1	0	_aGeometric Analysis of the Bergman Kernel and Metric _h[electronic resource] / _cby Steven G. Krantz.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _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		0	_aMathematics.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aFunctional analysis.
650		0	_aPartial differential equations.
650		0	_aDifferential geometry.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aPartial Differential Equations.
650	2	4	_aFunctional Analysis.
650	2	4	_aDifferential Geometry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461479239
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v268
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-7924-6
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44968 _d44968