| 000 | 03466nam a22005175i 4500 | ||
|---|---|---|---|
| 003 | DE-He213 | ||
| 005 | 20191011082653.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130920s2013 xxu| s |||| 0|eng d | ||
| 020 | 6 | 4 |
_a9781461479246 _9978-1-4614-7924-6 |
| 024 | 8 | 7 |
_a10.1007/978-1-4614-7924-6 _2doi |
| 050 | 8 | 4 | _aQA299.6-433 |
| 072 | 8 | 7 |
_aPBK _2bicssc |
| 072 | 8 | 7 |
_aMAT034000 _2bisacsh |
| 082 |
_a515 _223 |
||
| 100 | 8 | 1 |
_aKrantz, Steven G. _eauthor. _982163 |
| 245 | 9 | 7 |
_aGeometric Analysis of the Bergman Kernel and Metric _h[electronic resource] / _cby Steven G. Krantz. |
| 001 | 000056280 | ||
| 300 | 6 | 4 |
_aXIII, 292 p. 7 illus. _bonline resource. |
| 490 | 8 | 1 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v268 |
| 505 | 8 | 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 | 6 | 4 | _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 | 8 | 0 |
_aMathematics. _98571 |
| 650 | 8 | 0 |
_aGlobal analysis (Mathematics). _910011 |
| 650 | 8 | 0 |
_aFunctional analysis. _982164 |
| 650 | 8 | 0 |
_aDifferential equations, partial. _99614 |
| 650 | 8 | 0 |
_aGlobal differential geometry. _99530 |
| 650 |
_aMathematics. _98571 |
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| 650 |
_aAnalysis. _910013 |
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| 650 |
_aPartial Differential Equations. _99616 |
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| 650 |
_aFunctional Analysis. _982165 |
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| 650 |
_aDifferential Geometry. _99532 |
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| 710 | 8 | 2 |
_aSpringerLink (Online service) _982166 |
| 773 | 8 | 0 | _tSpringer eBooks |
| 776 |
_iPrinted edition: _z9781461479239 |
||
| 830 | 8 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v268 _982167 |
| 856 |
_uhttp://dx.doi.org/10.1007/978-1-4614-7924-6 _zde clik aquí para ver el libro electrónico |
||
| 264 | 8 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
| 336 | 6 | 4 |
_atext _btxt _2rdacontent |
| 337 | 6 | 4 |
_acomputer _bc _2rdamedia |
| 338 | 6 | 4 |
_aonline resource _bcr _2rdacarrier |
| 347 | 6 | 4 |
_atext file _bPDF _2rda |
| 516 | 6 | 4 | _aZDB-2-SMA |
| 999 |
_c56010 _d56010 |
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| 942 | _c05 | ||