Hardy Classes on Infinitely Connected Riemann Surfaces PDF Download
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Author: M. Hasumi
Publisher: Springer
ISBN: 3540387196
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Author: M. Hasumi
Publisher: Springer
ISBN: 3540387196
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Author: Morisuke Hasumi
Publisher: Springer
ISBN: 9780387127293
Category : Hardy classes
Languages : en
Pages : 280
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Book Description
Author: Charles W. Neville
Publisher: American Mathematical Soc.
ISBN: 0821818600
Category : Mathematics
Languages : en
Pages : 164
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Book Description
We generalize Beurling's theorem on the shift invariant subspaces of Hardy 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.
Author: Charles W. Neville
Publisher:
ISBN: 9781470405465
Category : Banach algebras
Languages : en
Pages : 151
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Book Description
Author: Maurice Heins
Publisher: Springer
ISBN: 3540361391
Category : Mathematics
Languages : en
Pages : 113
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Book Description
Author: Charles W. Neville
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 164
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Book Description
Author: V. P. Havin
Publisher: Springer
ISBN: 3540387587
Category : Mathematics
Languages : en
Pages : 738
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Book Description
Author: Shozo Koshi
Publisher: World Scientific
ISBN: 9814555924
Category :
Languages : en
Pages : 282
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Book Description
The objective of this symposium is to discuss the recent developments in the various areas of functional analysis. This volume consists mainly of articles in the fields of topological algebra, Banach spaces, function spaces, harmonic analysis, operator theory and application of functional analysis.
Author: Josef Kral
Publisher: Walter de Gruyter
ISBN: 3110818574
Category : Mathematics
Languages : en
Pages : 513
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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author: Alexandru Aleman
Publisher: Springer Science & Business Media
ISBN: 3034600984
Category : Mathematics
Languages : en
Pages : 135
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Book Description
If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M .
