Geometric analysis of the Bergman Kernel and metric
This 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...
সংরক্ষণ করুন:
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Livre numérique |
| ভাষা: | Anglais |
| প্রকাশিত: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| সংস্করন: | 1st ed. 2013. |
| মালা: | Graduate Texts in Mathematics
268 |
| বিষয়গুলি: | |
| অনলাইন ব্যবহার করুন: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| টীকা: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric analysis of the Bergman kernel and metric, Steven G. Krantz, 2013, New York [etc.], Springer, 1 vol. (XIII- 292 p.), Graduate texts in mathematics, 1-461-47923-1 |
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| 100 | 1 | |a Krantz, Steven G., |d 1951-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Geometric analysis of the Bergman Kernel and metric |c by Steven G. Krantz. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 268 |x 2197-5612 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This 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 | |a Noyaux de Bergman | ||
| 650 | |a Géométrie différentielle globale | ||
| 776 | 0 | |0 174329997 |t Geometric analysis of the Bergman kernel and metric |f Steven G. Krantz |d 2013 |c New York [etc.] |n Springer |p 1 vol. (XIII- 292 p.) |s Graduate texts in mathematics |z 1-461-47923-1 | |
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| 856 | 4 | |5 452349901:747819114 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4614-7924-6 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750835729 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4614-7924-6 |z Accès INSA CVL | |
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