Complex Analysis: A Functional Analysis Approach - Brossura

L. A. Rubel, D. H. Luecking

Brossura

ISBN 10: 0387909931 ISBN 13: 9780387909936

Casa editrice: Springer New York, 1984

Riassunto

From this point of vie~, the main theorem of the theory is Theorem 9.5, which concretely identifies the dual of H(G) with the space of germs of holomorphic functions on the complement of G. Other consequences of this duality theorem are the Germay interpolation theorem and the Mittag-Leffler Theorem.

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Contenuti

1. Preliminaries: Set Theory and Topology.- 2. Preliminaries: Vector Spaces and Complex Variables.- 3. Properties of C(G) and H(G).- 4. More About C(G) and H(G).- 5. Duality.- 6. Duality of H(G) — The Case of the Unit Disc.- 7. The Hahn-Banach Theorem, and Applications.- 8. More Applications.- 9. The Dual of H(G).- 10. Runge’s Theorem.- 11. The Cauchy Theorem.- 12. Constructive Function Theory.- 13. Ideals in H(G).- 14. The Riemann Mapping Theorem.- 15. Carathéodory Kernels and Farrell’s Theorem.- 16. Ring (not Algebra) Isomorphisms of H(G).- 17. Dual Space Topologies.- 18. Interpolation.- 19. Gap-Interpolation Theorems.- 20. First-Order Conformal Invariants.- References.

Product Description

Book by Luecking DH Rubel Lee A

Dettagli dell'edizione

• Editore: Springer New York
• Data di pubblicazione: 1984
• Lingua: Inglese
• ISBN 10: 0387909931
• ISBN 13: 9780387909936
• Rilegatura: Copertina flessibile
• Numero di pagine: 188
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania