Representation Theorems For Holomorphic And Harmonic Functions In Lp
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Representation Theorems For Holomorphic And Harmonic Functions In Lp
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Author : Ronald Raphaël Coifman
language : en
Publisher:
Release Date : 1980
Representation Theorems For Holomorphic And Harmonic Functions In Lp written by Ronald Raphaël Coifman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Function spaces categories.
Representation Theorems For Holomorphic And Harmonic Functions In Lp
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Author : R. R. Coifman
language : en
Publisher:
Release Date : 1980
Representation Theorems For Holomorphic And Harmonic Functions In Lp written by R. R. Coifman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Representation Theorems For Holomorphic And Harmonic Functions In Lp
DOWNLOAD
FREE 30 Days
Author : Ronald Raphaël Coifman
language : en
Publisher:
Release Date : 1980
Representation Theorems For Holomorphic And Harmonic Functions In Lp written by Ronald Raphaël Coifman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Function spaces categories.
Operators Functions And Systems Model Operators And Systems
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Author : Nikolaĭ Kapitonovich Nikolʹskiĭ
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Operators Functions And Systems Model Operators And Systems written by Nikolaĭ Kapitonovich 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 2002 with Control theory categories.
Fatou Type Theorems
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Author : F. Di Biase
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Fatou Type Theorems written by F. Di Biase and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
A basic principle governing the boundary behaviour of holomorphic func tions (and harmonic functions) is this: Under certain growth conditions, for almost every point in the boundary of the domain, these functions ad mit a boundary limit, if we approach the bounda-ry point within certain approach regions. For example, for bounded harmonic functions in the open unit disc, the natural approach regions are nontangential triangles with one vertex in the boundary point, and entirely contained in the disc [Fat06]. In fact, these natural approach regions are optimal, in the sense that convergence will fail if we approach the boundary inside larger regions, having a higher order of contact with the boundary. The first theorem of this sort is due to J. E. Littlewood [Lit27], who proved that if we replace a nontangential region with the rotates of any fixed tangential curve, then convergence fails. In 1984, A. Nagel and E. M. Stein proved that in Euclidean half spaces (and the unit disc) there are in effect regions of convergence that are not nontangential: These larger approach regions contain tangential sequences (as opposed to tangential curves). The phenomenon discovered by Nagel and Stein indicates that the boundary behaviour of ho)omor phic functions (and harmonic functions), in theorems of Fatou type, is regulated by a second principle, which predicts the existence of regions of convergence that are sequentially larger than the natural ones.
Function Classes On The Unit Disc
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Author : Miroslav Pavlović
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-08-19
Function Classes On The Unit Disc written by Miroslav Pavlović and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-19 with Mathematics categories.
This revised and extended edition of a well-established monograph in function theory contains a study on various function classes on the disc, a number of new results and new or easy proofs of old but interesting theorems (for example, the Fefferman–Stein theorem on subharmonic behavior or the theorem on conjugate functions in Bergman spaces) and a full discussion on g-functions.
Representation Theory And Harmonic Analysis On Symmetric Spaces
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Author : Jens Gerlach Christensen
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-08-27
Representation Theory And Harmonic Analysis On Symmetric Spaces written by Jens Gerlach Christensen 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 2018-08-27 with Festschriften categories.
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.
Function Spaces In Analysis
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Author : Krzysztof Jarosz
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-07-28
Function Spaces In Analysis written by Krzysztof Jarosz 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 2015-07-28 with Education categories.
This volume contains the proceedings of the Seventh Conference on Function Spaces, which was held from May 20-24, 2014 at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
Operators And Function Theory
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Author : S.C. Power
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Operators And Function Theory written by S.C. Power and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute 'Operators and Function Theory' in Lancaster, 1984, was devoted to this, and this book contains ex panded versions (and one contraction) of the main lecture prog ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter polation theory for Bergman, Besov and Bloch spaces, with applic ations for special operators, the Krein space approach to inter polation problems, •• and much more. It is hoped that these proceedings will bring all this lively mathematics to a wider audience. Sincere thanks are due to the Scientific Committee of the North Atlantic Treaty Organisation for the generous support that made the institute possible, and to the London Mathematical Society and the British Council for important additional support. Warm thanks also go to Barry Johnson and the L.M.S. for early guidance, and to my colleague Graham Jameson for much organisational support.
Holomorphic Spaces
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Author : Sheldon Jay Axler
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Holomorphic Spaces written by Sheldon Jay Axler 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 1998-05-28 with Mathematics categories.
Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.