Geometric function theory : explorations in complex analysis
Complex variables is a precise, elegant, and captivating subject. Presented from the point of view of modern work in the field, this new book addresses advanced topics in complex analysis that verge on current areas of research, including invariant geometry, the Bergman metric, the automorphism grou...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Cornerstones
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| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 28 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Geometric function theory, explorations in complex analysis, Steven G. Krantz, 2006, Boston, Birkhäuser, 1 vol. (XIII-314 p.), Cornerstones, 978-0-8176-4339-3 |
Inhaltsangabe:
- Classical Function Theory Invariant Geometry Variations on the Theme of the Schwarz Lemma Normal Families The Riemann Mapping Theorem and Its Generalizations Boundary Regularity of Conformal Maps The Boundary Behavior of Holomorphic Functions Real and Harmonic Analysis The Cauchy-Riemann Equations The Green s Function and the Poisson Kernel Harmonic Measure Conjugate Functions and the Hilbert Transform Wolff s Proof of the Corona Theorem Algebraic Topics Automorphism Groups of Domains in the Plane Cousin Problems, Cohomology, and Sheaves