000			00396nam a2200133Ia 4500
999			_c170298 _d170298
020			_a9780817643393
040			_cCUS
082			_a516 _bKRA/G
100			_aKrantz, Steven G.
245		0	_aGeometric function theory: explorations in complex analysis/ _cSteven G. Krantz
260			_aBoston: _bBirkhauser, _cc2006.
300			_axiii, 314 p. : _bill. ; _c24 cm.
505			_apt. 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.
650			_aFunctions of complex variables
650			_aGeometric function theory
650			_aHarmonic analysis
650			_aMathematics
942			_cWB16