The $H^p$ Spaces of an Annulus
Author | : Donald Sarason |
Publisher | : American Mathematical Soc. |
Total Pages | : 82 |
Release | : 1965 |
Genre | : Function spaces |
ISBN | : 0821812564 |
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Author | : Donald Sarason |
Publisher | : American Mathematical Soc. |
Total Pages | : 82 |
Release | : 1965 |
Genre | : Function spaces |
ISBN | : 0821812564 |
Author | : Donald Sarason |
Publisher | : |
Total Pages | : 94 |
Release | : 1965 |
Genre | : Hilbert space |
ISBN | : |
Author | : Alexandru Aleman |
Publisher | : Springer Science & Business Media |
Total Pages | : 135 |
Release | : 2010-01-08 |
Genre | : Mathematics |
ISBN | : 3034600984 |
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 .
Author | : Library of Congress. Copyright Office |
Publisher | : Copyright Office, Library of Congress |
Total Pages | : 1296 |
Release | : 1968 |
Genre | : Copyright |
ISBN | : |
Includes Part 1, Number 2: Books and Pamphlets, Including Serials and Contributions to Periodicals July - December)
Author | : Daniel Alpay |
Publisher | : American Mathematical Soc. |
Total Pages | : 162 |
Release | : 2001 |
Genre | : Computers |
ISBN | : 9780821821558 |
The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and a corresponding algorithm. These generalized Schur functions have important applications to the theory of linear operators, to signal processing and control theory, and to other areas of engineering. In this book, Alpay looks at matrix-valued Schur functions and their applications from the unifying point of view of spaces with reproducing kernels. This approach is used here to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. The inverse scattering problem plays a key role in the exposition. The point of view also allows for a natural way to tackle more general cases, such as nonstationary systems, non-positive metrics, and pairs of commuting nonself-adjoint operators. This is the English translation of a volume originally published in French by the Societe Mathematique de France. Translated by Stephen S. Wilson.
Author | : Vladimir Bolotnikov |
Publisher | : Springer |
Total Pages | : 353 |
Release | : 2019-04-08 |
Genre | : Mathematics |
ISBN | : 303011614X |
This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.
Author | : Sheldon Jay Axler |
Publisher | : Cambridge University Press |
Total Pages | : 490 |
Release | : 1998-05-28 |
Genre | : Mathematics |
ISBN | : 9780521631938 |
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
Author | : William T. Ross |
Publisher | : American Mathematical Soc. |
Total Pages | : 165 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821831755 |
The theory of generalized analytic continuation studies continuations of meromorphic functions in situations where traditional theory says there is a natural boundary. This broader theory touches on a remarkable array of topics in classical analysis, as described in the book. The authors use the strong analogy with the summability of divergent series to motivate the subject. They are careful to cover the various types of continuations, attempting to unify them and suggesting some open questions. The book also addresses the role of such continuations in approximation theory and operator theory. The introductory overview provides a useful look at the history and context of the theory.
Author | : Vadim Adamyan |
Publisher | : Springer Science & Business Media |
Total Pages | : 490 |
Release | : 2009-08-29 |
Genre | : Mathematics |
ISBN | : 3764399198 |
This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.
Author | : Pavel Kurasov |
Publisher | : Springer Nature |
Total Pages | : 627 |
Release | : 2020-07-14 |
Genre | : Mathematics |
ISBN | : 3030315312 |
Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.