Geometric function theory: explorations in complex analysis/ Steven G. Krantz
Material type: TextPublication details: Boston: Birkhauser, c2006Description: xiii, 314 p. : ill. ; 24 cmISBN: 9780817643393Subject(s): Functions of complex variables | Geometric function theory | Harmonic analysis | MathematicsDDC classification: 516Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University General Book Section | 516 KRA/G (Browse shelf(Opens below)) | Available | P25275 |
pt. I. Classical function theory
1. Invariant geometry --
2. Variations on the theme of the Schwarz Lemma --
3. Normal families --
4. The Riemann mapping theorem and its generalizations --
5. Boundary regularity of conformal maps --
6. The boundary behavior of holomorphic functions --
pt. II. Real and harmonic analysis
7. The Cauchy-Riemann equations --
8. The Green's function and the Poisson kernel --
9. Harmonic measure --
10. Conjugate functions and the Hilbert transform --
11. Wolff's proof of the Corona theorem --
pt. III. Algebraic topics
12. Automorphism groups of domains in the plane --
13. Cousin problems, cohomology, and sheaves.
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