The Theory Of Hardy S Z Function

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Hardy Classes And Operator Theory

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Author : Marvin Rosenblum
language : en
Publisher: Courier Corporation
Release Date : 1997-01-01

Hardy Classes And Operator Theory written by Marvin Rosenblum and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.

Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.

Noncommutative Function Theoretic Operator Theory And Applications

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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16

Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Theory Of Functions

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Author : Sergeĭ Mikhaĭlovich Nikolʹskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Theory Of Functions written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

Volume 190, issue 1 of 4. Translated from the Russian. Comprises materials of the All-Union School on the Theory of Functions (October 1987, Amberd), presenting papers on the coefficients of cosine series with nonnegative partial sums, bases in function spaces and the Franklin system, vectors with c

Body Size The Structure And Function Of Aquatic Ecosystems

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Author : Alan G. Hildrew
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-12

Body Size The Structure And Function Of Aquatic Ecosystems written by Alan G. Hildrew and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-12 with Nature categories.

Ecologists have long struggled to predict features of ecological systems, such as the numbers and diversity of organisms. The wide range of body sizes in ecological communities, from tiny microbes to large animals and plants, is emerging as the key to prediction. Based on the relationship between body size and features such as biological rates, the physics of water and the amount of habitat available, we may be able to understand patterns of abundance and diversity, biogeography, interactions in food webs and the impact of fishing, adding up to a potential 'periodic table' for ecology. Remarkable progress on the unravelling, describing and modelling of aquatic food webs, revealing the fundamental role of body size, makes a book emphasising marine and freshwater ecosystems particularly apt. In this 2007 book, the importance of body size is examined at a range of scales that will be of interest to professional ecologists, from students to senior researchers.

Trigonometric Series

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Author : Antoni Zygmund
language : en
Publisher: Cambridge University Press
Release Date : 2002

Trigonometric Series written by Antoni Zygmund and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.

Lectures On Analytic Function Spaces And Their Applications

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Author : Javad Mashreghi
language : en
Publisher: Springer Nature
Release Date : 2023-10-13

Lectures On Analytic Function Spaces And Their Applications written by Javad Mashreghi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-13 with Mathematics categories.

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

Geometric Harmonic Analysis Ii

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Author : Dorina Mitrea
language : en
Publisher: Springer Nature
Release Date : 2023-03-03

Geometric Harmonic Analysis Ii written by Dorina Mitrea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-03 with Mathematics categories.

This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.

The Analysis And Geometry Of Hardy S Inequality

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Author : Alexander A. Balinsky
language : en
Publisher: Springer
Release Date : 2015-10-20

The Analysis And Geometry Of Hardy S Inequality written by Alexander A. Balinsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-20 with Mathematics categories.

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.

Operators Functions And Systems An Easy Reading

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Author : Nikolai K. Nikolski
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-10-06

Operators Functions And Systems An Easy Reading written by Nikolai K. Nikolski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-06 with Mathematics categories.

Together with the companion volume by the same author, Operators, Functions, and Systems: An Easy Reading. Volume 1: Hardy, Hankel, and Toeplitz, Mathematical Surveys and Monographs, Vol. 92, AMS, 2002, this unique work combines four major topics of modern analysis and its applications: A. Hardy classes of holomorphic functions, B. Spectral theory of Hankel and Toeplitz operators, C. Function models for linear operators and free interpolations, and D. Infinite-dimensional system theory and signal processing. This volume contains Parts C and D. Function models for linear operators and free interpolations: This is a universal topic and, indeed, is the most influential operator theory technique in the post-spectral-theorem era. In this book, its capacity is tested by solving generalized Carleson-type interpolation problems. Infinite-dimensional system theory and signal processing: This topic is the touchstone of the three previously developed techniques. The presence of this applied topic in a pure mathematics environment reflects important changes in the mathematical landscape of the last 20 years, in that the role of the main consumer and customer of harmonic, complex, and operator analysis has more and more passed from differential equations, scattering theory, and probability to control theory and signal processing. This and the companion volume are geared toward a wide audience of readers, from graduate students to professional mathematicians. They develop an elementary approach to the subject while retaining an expert level that can be applied in advanced analysis and selected applications.

The Role Of Body Size In Multispecies Systems

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Author :
language : en
Publisher: Academic Press
Release Date : 2011-09-23

The Role Of Body Size In Multispecies Systems written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-23 with Science categories.

The general theme is being based around the ongoing European Science Foundation SIZEMIC Research Network, which has been running for several years. The network has focused on the role of body size in ecosystems and embraces a wide remit that spans all ecosystem types and a range of disciplines, from theoretical to applied ecology. - Updates and informs the reader on the latest research findings - Written by leading experts in the field - Highlights areas for future investigation