Synopsis
Preface.- 1.Conformal capacity.- 2. Asymptotics of the condenser capacity when one of the plate degenerates.- Special transformations.- 4. Symmetrization.- 5. Metric properties of sets and condensers.- 6. Problems of extremal decomposition.- 7. Univalent functions.- 8. Multivalent functions.- Appendices: A1. Dirichlet principle.- A2. Uniqueness theorem for contracting mapping.- A3. On separating transformation of sets and condensers.- A4. On conservation of reduced moduli under geometric trans-formation of domains.- A5. Quadratic differentials.- A6. Unsolved problems.- References.- Basic notations.- Subject index.
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