Singular Integral Operators And Related Topics
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Operator Algebras Toeplitz Operators And Related Topics
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Author : Wolfram Bauer
language : en
Publisher: Springer Nature
Release Date : 2020-09-01
Operator Algebras Toeplitz Operators And Related Topics written by Wolfram Bauer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-01 with Mathematics categories.
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.
Singular Integrals And Related Topics
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Author : Shanzhen Lu
language : en
Publisher: World Scientific
Release Date : 2007
Singular Integrals And Related Topics written by Shanzhen Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book introduces some important progress in the theory of CalderonOCoZygmund singular integrals, oscillatory singular integrals, and LittlewoodOCoPaley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers."
Systems Approximation Singular Integral Operators And Related Topics
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Author : Alexander A. Borichev
language : en
Publisher: Birkhauser
Release Date : 2001-01-01
Systems Approximation Singular Integral Operators And Related Topics written by Alexander A. Borichev and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Singular Integral Operators Quantitative Flatness And Boundary Problems
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Author : Juan José Marín
language : en
Publisher: Springer Nature
Release Date : 2022-09-29
Singular Integral Operators Quantitative Flatness And Boundary Problems written by Juan José Marín and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.
This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems – as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis – will find this text to be a valuable addition to the mathematical literature.
Systems Approximation Singular Integral Operators And Related Topics
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Author : Alexander A Borichev
language : en
Publisher:
Release Date : 2001-11-01
Systems Approximation Singular Integral Operators And Related Topics written by Alexander A Borichev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-01 with categories.
Toeplitz Operators And Related Topics
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Author : Estelle L. Basor
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Toeplitz Operators And Related Topics written by Estelle L. Basor and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.
Solvability Theory Of Boundary Value Problems And Singular Integral Equations With Shift
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Author : Georgii S. Litvinchuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-09-30
Solvability Theory Of Boundary Value Problems And Singular Integral Equations With Shift written by Georgii S. Litvinchuk 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 2000-09-30 with Mathematics categories.
The first formulations of linear boundary value problems for analytic functions were due to Riemann (1857). In particular, such problems exhibit as boundary conditions relations among values of the unknown analytic functions which have to be evaluated at different points of the boundary. Singular integral equations with a shift are connected with such boundary value problems in a natural way. Subsequent to Riemann's work, D. Hilbert (1905), C. Haseman (1907) and T. Carleman (1932) also considered problems of this type. About 50 years ago, Soviet mathematicians began a systematic study of these topics. The first works were carried out in Tbilisi by D. Kveselava (1946-1948). Afterwards, this theory developed further in Tbilisi as well as in other Soviet scientific centers (Rostov on Don, Ka zan, Minsk, Odessa, Kishinev, Dushanbe, Novosibirsk, Baku and others). Beginning in the 1960s, some works on this subject appeared systematically in other countries, e. g. , China, Poland, Germany, Vietnam and Korea. In the last decade the geography of investigations on singular integral operators with shift expanded significantly to include such countries as the USA, Portugal and Mexico. It is no longer easy to enumerate the names of the all mathematicians who made contributions to this theory. Beginning in 1957, the author also took part in these developments. Up to the present, more than 600 publications on these topics have appeared.
Singular Integral Operators And Related Topics
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Author : A. Böttcher
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Singular Integral Operators And Related Topics written by A. Böttcher and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume presents the proceedings of the Joint German-Israeli Workshop on linear one-dimensional singular integral equations, held in Tel Aviv from March 1–10, 1995. The volume contains a selection of papers in modern operator theory and its applications. The main topics of the workshop were symbol calculus, index formulas, projection and quadrature methods for Toeplitz and singular integral operators with different symbols, algebras generated by such operators and algebras generated by indempotents. The other topics discussed were inverse scattering problems for differential operators, distribution of zeros for orthogonal functions, factorization of matrix functions and calculation of norms. The book will be appreciated by a wide audience in the mathematical and engineering sciences.
Hardy Operators On Euclidean Spaces And Related Topics
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Author : Shanzhen Lu
language : en
Publisher: World Scientific
Release Date : 2023-03-23
Hardy Operators On Euclidean Spaces And Related Topics written by Shanzhen Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-23 with Mathematics categories.
In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy-Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.