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Author : Marco M. Peloso
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (186 download)
Download or read book Besov Spaces, Mean Oscillation, and Generalized Hankel Operators written by Marco M. Peloso and published by . This book was released on 1991 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nicola Arcozzi
Publisher : American Mathematical Soc.
ISBN 13 : 0821839179
Total Pages : 178 pages
Book Rating : 4.8/5 (218 download)
Download or read book Carleson Measures and Interpolating Sequences for Besov Spaces on Complex Balls written by Nicola Arcozzi and published by American Mathematical Soc.. This book was released on 2006 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A tree structure for the unit ball $mathbb B? n$ in $mathbb C'n$; Carleson measures; Pointwise multipliers; Interpolating sequences; An almost invariant holomorphic derivative; Besov spaces on trees; Holomorphic Besov spaces on Bergman trees; Completing the multiplier interpolation loop; Appendix; Bibliography
Author : E. Ramirez de Arellano
Publisher : Birkhäuser
ISBN 13 : 3034886985
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)
Download or read book Complex Analysis and Related Topics written by E. Ramirez de Arellano and published by Birkhäuser. This book was released on 2012-12-06 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, addressed to researchers and postgraduate students, compiles up-to-date research and expository papers on different aspects of complex analysis, including relations to operator theory and hypercomplex analysis. Subjects include the Schrödinger equation, subelliptic operators, Lie algebras and superalgebras, among others.
Author : Nicola Arcozzi
Publisher : American Mathematical Soc.
ISBN 13 : 1470450828
Total Pages : 536 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Dirichlet Space and Related Function Spaces written by Nicola Arcozzi and published by American Mathematical Soc.. This book was released on 2019-09-03 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the classical Dirichlet space is one of the central topics on the intersection of the theory of holomorphic functions and functional analysis. It was introduced about100 years ago and continues to be an area of active current research. The theory is related to such important themes as multipliers, reproducing kernels, and Besov spaces, among others. The authors present the theory of the Dirichlet space and related spaces starting with classical results and including some quite recent achievements like Dirichlet-type spaces of functions in several complex variables and the corona problem. The first part of this book is an introduction to the function theory and operator theory of the classical Dirichlet space, a space of holomorphic functions on the unit disk defined by a smoothness criterion. The Dirichlet space is also a Hilbert space with a reproducing kernel, and is the model for the dyadic Dirichlet space, a sequence space defined on the dyadic tree. These various viewpoints are used to study a range of topics including the Pick property, multipliers, Carleson measures, boundary values, zero sets, interpolating sequences, the local Dirichlet integral, shift invariant subspaces, and Hankel forms. Recurring themes include analogies, sometimes weak and sometimes strong, with the classical Hardy space; and the analogy with the dyadic Dirichlet space. The final chapters of the book focus on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional techniques are developed to work with the nonisotropic complex geometry, including a useful invariant definition of local oscillation and a sophisticated variation on the dyadic Dirichlet space. Descriptions are obtained of multipliers, Carleson measures, interpolating sequences, and multiplier interpolating sequences; estimates are obtained to prove corona theorems.
Author :
Publisher :
ISBN 13 :
Total Pages : 434 pages
Book Rating : 4.3/5 (794 download)
Download or read book Report written by and published by . This book was released on 1990 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Faraut
Publisher : Springer Science & Business Media
ISBN 13 : 1461213665
Total Pages : 539 pages
Book Rating : 4.4/5 (612 download)
Download or read book Analysis and Geometry on Complex Homogeneous Domains written by Jacques Faraut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie algebras (Koranyi), and the other through Jordan algebras and triple systems (Roos). Larger classes of domains and spaces are furnished by the pseudo-Hermitian symmetric spaces and related R-spaces. These classes are covered via a study of their geometry and a presentation and classification of their Lie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented. Also explored are recent developments in the field, in particular, the study of complex semigroups which generalize complex tube domains and function spaces on them (Faraut). This volume will be useful as a graduate text for students of Lie group theory with connections to complex analysis, or as a self-study resource for newcomers to the field. Readers will reach the frontiers of the subject in a considerably shorter time than with existing texts.
Author :
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.3/5 (91 download)
Download or read book Chinese Journal of Contemporary Mathematics written by and published by . This book was released on 2003 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9401512795
Total Pages : 639 pages
Book Rating : 4.4/5 (15 download)
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second supplementary volume to Kluwer's highly acclaimed eleven-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing eleven volumes, and together these twelve volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Author :
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Victor P. Havin
Publisher : Birkhäuser
ISBN 13 : 3034883781
Total Pages : 407 pages
Book Rating : 4.0/5 (348 download)
Download or read book Complex Analysis, Operators, and Related Topics written by Victor P. Havin and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.
Author : Eric T. Sawyer
Publisher : American Mathematical Soc.
ISBN 13 : 0821871846
Total Pages : 219 pages
Book Rating : 4.8/5 (218 download)
Download or read book Function Theory written by Eric T. Sawyer and published by American Mathematical Soc.. This book was released on 2009 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. C. Power
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (44 download)
Download or read book Hankel Operators on Hilbert Space written by S. C. Power and published by Pitman Publishing. This book was released on 1982 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aline Bonami
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (232 download)
Download or read book Hankel Operators on Generalized Hardy Spaces written by Aline Bonami and published by . This book was released on 1988 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.
Author : Zeev Ditzian
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860045
Total Pages : 416 pages
Book Rating : 4.8/5 (6 download)
Download or read book Second Edmonton Conference on Approximation Theory written by Zeev Ditzian and published by American Mathematical Soc.. This book was released on 1983 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edmonton Conference on Approximation Theory, held in Edmonton, Alberta, June 7-11, 1982, was devoted to Approximation Theory and related topics, including spline approximation, computational problems, complex and rational approximation, and techniques from harmonic analysis and the theory of interpolation of operators. In conformity with the requirements of this series, this volume consists of refereed papers by a selection of the invited speakers. The conference was sponsored by the Canadian Mathematical Society and supported by grants from the Natural Sciences and Engineering Research Council of Canada and the University of Alberta.
Author :
Publisher :
ISBN 13 :
Total Pages : 734 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1991 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Lord
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110700174
Total Pages : 514 pages
Book Rating : 4.1/5 (17 download)
Download or read book Trace Formulas written by Steven Lord and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-04-03 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces noncommutative integration theory on semifinite von Neumann algebras and the theory of singular traces for symmetric operator spaces. Deeper aspects of the association between measurability, poles and residues of spectral zeta functions, and asymptotics of heat traces are studied. Applications in Connes’ noncommutative geometry that are detailed include integration of quantum differentials, measures on fractals, and Connes’ character formula concerning the Hochschild class of the Chern character.
