| Description |
1 online resource (163 pages) |
| Series |
Memoirs of the American Mathematical Society ; volume 2, issue 1, number 160 (May 1975) |
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Memoirs of the American Mathematical Society ; no. 160
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| Contents |
Preliminaries -- L.A.M.'s, inner-outer factorizations -- The Banach algebra h[infinity symbol](R) -- An operational calculus, duality -- Admissible surfaces -- Cauchy-Read theorems -- The main theorem, counter-examples -- Construction of admissible surfaces |
| Summary |
We generalize Beurling's theorem on the shift invariant subspaces of Hard class H[superscript]2 of the unit disk to the Hardy classes of admissible Riemann surfaces. Essentially, an open Riemann surface is admissible if it admits enough bounded multiple valued analytic functions. The class of admissible surfaces contains many infinitely connected surfaces, and all finite surfaces, but does not contain all plane regions admitting sufficiently many bounded analytic functions to sseparatepoints. We generalize the ttheorem of A.H. Read and the Cauchy integral formula to the boundary values, on the Hayashi boundary, of functions in the Hardy classes of admissible surfaces |
| Notes |
"Volume 2, issue 1." |
| Bibliography |
Includes bibliographical references (pages 149-151) |
| Notes |
English |
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Print version record |
| Subject |
Riemann surfaces.
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Hardy classes.
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Invariant subspaces.
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Banach algebras.
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Banach algebras
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Hardy classes
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Invariant subspaces
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Riemann surfaces
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| Form |
Electronic book
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| ISBN |
9781470405465 |
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1470405466 |
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