Function Spaces and Potential Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3662032821
Total Pages : 372 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Function Spaces and Potential Theory by : David R. Adams

Download or read book Function Spaces and Potential Theory written by David R. Adams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society

Function spaces VIII

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Publisher :
ISBN 13 :
Total Pages : 263 pages
Book Rating : 4.:/5 (441 download)

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Book Synopsis Function spaces VIII by : Henryk Hudzik

Download or read book Function spaces VIII written by Henryk Hudzik and published by . This book was released on 2008 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Theory in Function Spaces and Banach Lattices

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Publisher : Birkhäuser
ISBN 13 : 3034890761
Total Pages : 309 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Operator Theory in Function Spaces and Banach Lattices by : C.B. Huijsmans

Download or read book Operator Theory in Function Spaces and Banach Lattices written by C.B. Huijsmans and published by Birkhäuser. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.

Function Spaces, Differential Operators and Nonlinear Analysis

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Publisher : Birkhäuser
ISBN 13 : 3034880359
Total Pages : 462 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Function Spaces, Differential Operators and Nonlinear Analysis by : Dorothee Haroske

Download or read book Function Spaces, Differential Operators and Nonlinear Analysis written by Dorothee Haroske and published by Birkhäuser. This book was released on 2012-12-06 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

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Publisher : Springer
ISBN 13 : 3319573977
Total Pages : 457 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects by : Clément Cancès

Download or read book Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects written by Clément Cancès and published by Springer. This book was released on 2017-05-23 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of the proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017) covers various topics including convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. It collects together the focused invited papers comparing advanced numerical methods for Stokes and Navier–Stokes equations on a benchmark, as well as reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods, offering a comprehensive overview of the state of the art in the field. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asy mptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.

Theory of Function Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3034604157
Total Pages : 286 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Theory of Function Spaces by : Hans Triebel

Download or read book Theory of Function Spaces written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2010-08-20 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Linear Processes in Function Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1461211549
Total Pages : 295 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Processes in Function Spaces by : Denis Bosq

Download or read book Linear Processes in Function Spaces written by Denis Bosq and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main subject of this book is the estimation and forecasting of continuous time processes. It leads to a development of the theory of linear processes in function spaces. Mathematical tools are presented, as well as autoregressive processes in Hilbert and Banach spaces and general linear processes and statistical prediction. Implementation and numerical applications are also covered. The book assumes knowledge of classical probability theory and statistics.

Dynamical Systems VIII

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Publisher : Springer Science & Business Media
ISBN 13 : 3662067986
Total Pages : 241 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Dynamical Systems VIII by : V.I. Arnol'd

Download or read book Dynamical Systems VIII written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to applications of singularity theory in mathematics and physics, covering a broad spectrum of topics and problems. "The book contains a huge amount of information from all the branches of Singularity Theory, presented in a very attractive way, with lots of inspiring pictures." --ZENTRALBLATT MATH

Function Spaces, Proceedings Of The Sixth Conference

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Publisher : World Scientific
ISBN 13 : 9814486728
Total Pages : 285 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Function Spaces, Proceedings Of The Sixth Conference by : Ryszard Grzaslewicz

Download or read book Function Spaces, Proceedings Of The Sixth Conference written by Ryszard Grzaslewicz and published by World Scientific. This book was released on 2003-04-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.

Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809393
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Function Spaces by : Krzysztof Jarosz

Download or read book Function Spaces written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 1999 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.

Fourier Series, Fourier Transforms, and Function Spaces

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Publisher : American Mathematical Society
ISBN 13 : 1470476002
Total Pages : 370 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fourier Series, Fourier Transforms, and Function Spaces by : Tim Hsu

Download or read book Fourier Series, Fourier Transforms, and Function Spaces written by Tim Hsu and published by American Mathematical Society. This book was released on 2023-12-07 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Series, Fourier Transforms, and Function Spaces is designed as a textbook for a second course or capstone course in analysis for advanced undergraduate or beginning graduate students. By assuming the existence and properties of the Lebesgue integral, this book makes it possible for students who have previously taken only one course in real analysis to learn Fourier analysis in terms of Hilbert spaces, allowing for both a deeper and more elegant approach. This approach also allows junior and senior undergraduates to study topics like PDEs, quantum mechanics, and signal processing in a rigorous manner. Students interested in statistics (time series), machine learning (kernel methods), mathematical physics (quantum mechanics), or electrical engineering (signal processing) will find this book useful. With 400 problems, many of which guide readers in developing key theoretical concepts themselves, this text can also be adapted to self-study or an inquiry-based approach. Finally, of course, this text can also serve as motivation and preparation for students going on to further study in analysis.

Function Spaces

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Publisher : World Scientific
ISBN 13 : 9812382674
Total Pages : 285 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Function Spaces by : Ryszard Grz??lewicz

Download or read book Function Spaces written by Ryszard Grz??lewicz and published by World Scientific. This book was released on 2003 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.

Operator and Matrix Theory, Function Spaces, and Applications

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Publisher : Springer Nature
ISBN 13 : 3031506138
Total Pages : 423 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Operator and Matrix Theory, Function Spaces, and Applications by : Marek Ptak

Download or read book Operator and Matrix Theory, Function Spaces, and Applications written by Marek Ptak and published by Springer Nature. This book was released on with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces and Wavelets on Domains

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Publisher : European Mathematical Society
ISBN 13 : 9783037190197
Total Pages : 276 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Function Spaces and Wavelets on Domains by : Hans Triebel

Download or read book Function Spaces and Wavelets on Domains written by Hans Triebel and published by European Mathematical Society. This book was released on 2008 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets have emerged as an important tool in analyzing functions containing discontinuities and sharp spikes. They were developed independently in the fields of mathematics, quantum physics, electrical engineering, and seismic geology. Interchanges between these fields during the last ten years have led to many new wavelet applications such as image compression, turbulence, human vision, radar, earthquake prediction, and pure mathematics applications such as solving partial differential equations. This book develops a theory of wavelet bases and wavelet frames for function spaces on various types of domains. Starting with the usual spaces on Euclidean spaces and their periodic counterparts, the exposition moves on to so-called thick domains (including Lipschitz domains and snowflake domains). Specifically, wavelet expansions and extensions to corresponding spaces on Euclidean $n$-spaces are developed. Finally, spaces on smooth and cellular domains and related manifolds are treated. Although the presentation relies on the recent theory of function spaces, basic notation and classical results are repeated in order to make the text self-contained. This book is addressed to two types of readers: researchers in the theory of function spaces who are interested in wavelets as new effective building blocks for functions and scientists who wish to use wavelet bases in classical function spaces for various applications. Adapted to the second type of reader, the preface contains a guide on where to find basic definitions and key assertions.

Lectures on Analytic Function Spaces and their Applications

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Publisher : Springer Nature
ISBN 13 : 3031335724
Total Pages : 426 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Lectures on Analytic Function Spaces and their Applications by : Javad Mashreghi

Download or read book Lectures on Analytic Function Spaces and their Applications written by Javad Mashreghi and published by Springer Nature. This book was released on 2023-11-14 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Dirichlet Space and Related Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 1470450828
Total Pages : 536 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Dirichlet Space and Related Function Spaces by : Nicola Arcozzi

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.

Banach Spaces of Analytic Functions.

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Publisher : Springer
ISBN 13 : 3540372628
Total Pages : 150 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Banach Spaces of Analytic Functions. by : J. Baker

Download or read book Banach Spaces of Analytic Functions. written by J. Baker and published by Springer. This book was released on 2006-11-15 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts