Hardy Classes on Riemann Surfaces PDF Download
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Author: Maurice Heins
Publisher: Springer
ISBN: 3540361391
Category : Mathematics
Languages : en
Pages : 113
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Book Description
Author: Maurice Heins
Publisher: Springer
ISBN: 3540361391
Category : Mathematics
Languages : en
Pages : 113
Get Book Here
Book Description
Author: Maurice Heins
Publisher:
ISBN: 9783662169452
Category :
Languages : en
Pages : 116
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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: Mikihiro Hayashi
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 143
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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: M. Goldstein
Publisher:
ISBN:
Category :
Languages : en
Pages : 5
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Book Description
Author: Terrence Napier
Publisher: Springer Science & Business Media
ISBN: 0817646930
Category : Mathematics
Languages : en
Pages : 563
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Book Description
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.
Author: Charles W. Neville
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 164
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Book Description
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 .
