Krantz, Steven G. <br/><br/>
Geometric function theory: explorations in complex analysis/ 
Steven G. Krantz 
 - Boston:  Birkhauser,  c2006. 
 - xiii, 314 p. :  ill. ;  24 cm. 
<br/><br/>pt. I. Classical function theory<br/>1. Invariant geometry --<br/>2. Variations on the theme of the Schwarz Lemma --<br/>3. Normal families --<br/>4. The Riemann mapping theorem and its generalizations --<br/>5. Boundary regularity of conformal maps --<br/>6. The boundary behavior of holomorphic functions --<br/>pt. II. Real and harmonic analysis<br/>7. The Cauchy-Riemann equations --<br/>8. The Green's function and the Poisson kernel --<br/>9. Harmonic measure --<br/>10. Conjugate functions and the Hilbert transform --<br/>11. Wolff's proof of the Corona theorem --<br/>pt. III. Algebraic topics<br/>12. Automorphism groups of domains in the plane --<br/>13. Cousin problems, cohomology, and sheaves. 
<br/><br/><label>ISBN: </label>9780817643393 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Functions of complex variables<br/>Geometric function theory<br/>Harmonic analysis<br/>Mathematics
<br/><br/><label>Dewey Class. No.: </label>516  / KRA/G