Function theory in the unit ball of cn
Rudin, Walter
Function theory in the unit ball of cn by Walter Rudin - New York : Springer-Verlag, ©1980 - xiii, 436 p. : 25 cm. - Grundlehren der mathematischen Wissenschaften ; 241 .
Includes index.
Bibliography: p. 419-429.
1. Preliminaries
2. The Automorphisms of B
3. Integral Representations
4. The Invariant Laplacian
5. Boundary Behavior of Poisson Integrals
6. Boundary Behavior of Cauchy Integrals
7. Some L^p Topics
8. Consequences of the Schwarz Lemma
9. Measures Related to the Ball Algebra
10. Interpolation Sets for the Ball Algebra
11. Boundary Behavior of H^∞ Functions
12. Unitarily Invariant Function Spaces
13. Möbius-Invariant Function Spaces
14. Analytic Varieties
15. Proper Holomorphic Maps
16. The ∂̄ (d-bar) Problem
17. The Zeros of Nevanlinna Functions
18. Tangential Cauchy–Riemann Operators
19. Open Problems
9783540682721
80019990
Holomorphic functions.
Unit ball.
QA331 / .R863
515 / RUD-F
Function theory in the unit ball of cn by Walter Rudin - New York : Springer-Verlag, ©1980 - xiii, 436 p. : 25 cm. - Grundlehren der mathematischen Wissenschaften ; 241 .
Includes index.
Bibliography: p. 419-429.
1. Preliminaries
2. The Automorphisms of B
3. Integral Representations
4. The Invariant Laplacian
5. Boundary Behavior of Poisson Integrals
6. Boundary Behavior of Cauchy Integrals
7. Some L^p Topics
8. Consequences of the Schwarz Lemma
9. Measures Related to the Ball Algebra
10. Interpolation Sets for the Ball Algebra
11. Boundary Behavior of H^∞ Functions
12. Unitarily Invariant Function Spaces
13. Möbius-Invariant Function Spaces
14. Analytic Varieties
15. Proper Holomorphic Maps
16. The ∂̄ (d-bar) Problem
17. The Zeros of Nevanlinna Functions
18. Tangential Cauchy–Riemann Operators
19. Open Problems
9783540682721
80019990
Holomorphic functions.
Unit ball.
QA331 / .R863
515 / RUD-F