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The Kernel Function and Conformal Mapping
About this Title
Stefan Bergman
Publication: Mathematical Surveys and Monographs
Publication Year:
1950; Volume 5
ISBNs: 978-0-8218-1505-2 (print); 978-1-4704-1232-6 (online)
DOI: https://doi.org/10.1090/surv/005
Table of Contents
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Front/Back Matter
Chapters
- I. Orthogonal functions
- II. The kernel function and associated minimum problems
- III. The invariant metric and the method of the minimum integral
- IV. Kernel functions and Hilbert space
- V. Representation of the classical domain functions
- VI. Canonical conformal transformations
- VII. Orthogonalization over the boundary
- VIII. Variational methods
- IX. Existence proofs
- X. Partial differential equations
- XI. Functions of two complex variables and pseudo-conformal mappings
- XII. Generalization of potential-theoretical and certain subclasses of functions