The Hardy Space of a Slit Domain

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Publisher : Springer Science & Business Media
ISBN 13 : 3034600984
Total Pages : 135 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis The Hardy Space of a Slit Domain by : Alexandru Aleman

Download or read book The Hardy Space of a Slit Domain written by Alexandru Aleman and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: If H is a Hilbert space and T : H ? H is a continous linear operator, a natural question to ask is: What are the closed subspaces M of H for which T M ? M? Of course the famous invariant subspace problem asks whether or not T has any non-trivial invariant subspaces. This monograph is part of a long line of study of the invariant subspaces of the operator T = M (multiplication by the independent variable z, i. e. , M f = zf )on a z z Hilbert space of analytic functions on a bounded domain G in C. The characterization of these M -invariant subspaces is particularly interesting since it entails both the properties z of the functions inside the domain G, their zero sets for example, as well as the behavior of the functions near the boundary of G. The operator M is not only interesting in its z own right but often serves as a model operator for certain classes of linear operators. By this we mean that given an operator T on H with certain properties (certain subnormal operators or two-isometric operators with the right spectral properties, etc. ), there is a Hilbert space of analytic functions on a domain G for which T is unitarity equivalent to M .

Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821811487
Total Pages : 524 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis by : Eric Grinberg

Download or read book Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis written by Eric Grinberg and published by American Mathematical Soc.. This book was released on 2000 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings from the conference honoring the work of Leon Ehrenpreis. Professor Ehrenpreis worked in many different areas of mathematics and found connections among all of them. For example, one can find his analytic ideas in the context of number theory, geometric thinking within analysis, transcendental number theory applied to partial differential equations, and more. The conference brought together the communities of mathematicians working in the areas of interest to Professor Ehrenpreis and allowed them to share the research inspired by his work. The collection of articles here presents current research on PDEs, several complex variables, analytic number theory, integral geometry, and tomography. The work of Professor Ehrenpreis has contributed to basic definitions in these areas and has motivated a wealth of research results. This volume offers a survey of the fundamental principles that unified the conference and influenced the mathematics of Leon Ehrenpreis.

Harmonic Measure

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Publisher : Cambridge University Press
ISBN 13 : 1139443097
Total Pages : 4 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Harmonic Measure by : John B. Garnett

Download or read book Harmonic Measure written by John B. Garnett and published by Cambridge University Press. This book was released on 2005-04-04 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.

Introduction to Model Spaces and their Operators

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Publisher : Cambridge University Press
ISBN 13 : 1107108748
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Model Spaces and their Operators by : Stephan Ramon Garcia

Download or read book Introduction to Model Spaces and their Operators written by Stephan Ramon Garcia and published by Cambridge University Press. This book was released on 2016-05-17 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained textbook which opens up this challenging field to newcomers and points to areas of future research.

Operator Theory by Example

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Publisher : Oxford University Press
ISBN 13 : 019267885X
Total Pages : 529 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Operator Theory by Example by : Stephan Ramon Garcia

Download or read book Operator Theory by Example written by Stephan Ramon Garcia and published by Oxford University Press. This book was released on 2023-01-30 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject in the abstract, this textbook covers the subject through twenty examples of a wide variety of operators, discussing the norm, spectrum, commutant, invariant subspaces, and interesting properties of each operator. The text is supplemented by over 600 end-of-chapter exercises, designed to help the reader master the topics covered in the chapter, as well as providing an opportunity to further explore the vast operator theory literature. Each chapter also contains well-researched historical facts which place each chapter within the broader context of the development of the field as a whole.

Maximal Function Methods for Sobolev Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 1470465752
Total Pages : 354 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Maximal Function Methods for Sobolev Spaces by : Juha Kinnunen

Download or read book Maximal Function Methods for Sobolev Spaces written by Juha Kinnunen and published by American Mathematical Soc.. This book was released on 2021-08-02 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self-improving, such as Hardy's inequalities, capacity density conditions, and reverse Hölder inequalities. They also study Muckenhoupt weight properties of distance functions and combine these with weighted norm inequalities; notions of dimension are then used to characterize density conditions and to give sufficient and necessary conditions for Hardy's inequalities. At the end of the book, the theory of weak solutions to the p p-Laplace equation and the use of maximal function techniques is this context are discussed. The book is directed to researchers and graduate students interested in applications of geometric and harmonic analysis in Sobolev spaces and partial differential equations.

Application of Holomorphic Functions in Two and Higher Dimensions

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Publisher : Springer
ISBN 13 : 3034809646
Total Pages : 402 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Application of Holomorphic Functions in Two and Higher Dimensions by : Klaus Gürlebeck

Download or read book Application of Holomorphic Functions in Two and Higher Dimensions written by Klaus Gürlebeck and published by Springer. This book was released on 2016-06-20 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schrödinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.

Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions

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Publisher : SIAM
ISBN 13 : 1611974194
Total Pages : 370 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions by : Thomas Trogdon

Download or read book Riemann-Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions written by Thomas Trogdon and published by SIAM. This book was released on 2015-12-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riemann?Hilbert problems are fundamental objects of study within complex analysis. Many problems in differential equations and integrable systems, probability and random matrix theory, and asymptotic analysis can be solved by reformulation as a Riemann?Hilbert problem.This book, the most comprehensive one to date on the applied and computational theory of Riemann?Hilbert problems, includes an introduction to computational complex analysis, an introduction to the applied theory of Riemann?Hilbert problems from an analytical and numerical perspective, and a discussion of applications to integrable systems, differential equations, and special function theory. It also includes six fundamental examples and five more sophisticated examples of the analytical and numerical Riemann?Hilbert method, each of mathematical or physical significance or both.?

The British National Bibliography

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Publisher :
ISBN 13 :
Total Pages : 2744 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2009 with total page 2744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Transactions of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 1170 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Transactions of the American Mathematical Society by : American Mathematical Society

Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1994 with total page 1170 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Excursions in Harmonic Analysis, Volume 4

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Publisher : Birkhäuser
ISBN 13 : 3319201883
Total Pages : 440 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Excursions in Harmonic Analysis, Volume 4 by : Radu Balan

Download or read book Excursions in Harmonic Analysis, Volume 4 written by Radu Balan and published by Birkhäuser. This book was released on 2015-10-20 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

Recent Advances in Partial Differential Equations and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 1470415216
Total Pages : 418 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Recent Advances in Partial Differential Equations and Applications by : Vicenţiu D. Rădulescu

Download or read book Recent Advances in Partial Differential Equations and Applications written by Vicenţiu D. Rădulescu and published by American Mathematical Soc.. This book was released on 2016-06-28 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birthday, held from February 17–21, 2014, in Levico Terme, Italy. The conference brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide-ranging influence of Hugo Beirão da Veiga on the field of partial differential equations, in particular those related to fluid dynamics. In his own work, da Veiga has been a seminal influence in many important areas: Navier-Stokes equations, Stokes systems, non-Newtonian fluids, Euler equations, regularity of solutions, perturbation theory, vorticity phenomena, and nonlinear potential theory, as well as various degenerate or singular models in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.

St. Petersburg Mathematical Journal

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Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis St. Petersburg Mathematical Journal by :

Download or read book St. Petersburg Mathematical Journal written by and published by . This book was released on 1994 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quadratic Differentials

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Publisher : Springer Science & Business Media
ISBN 13 : 3662024144
Total Pages : 197 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Quadratic Differentials by : K. Strebel

Download or read book Quadratic Differentials written by K. Strebel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: A quadratic differential on aRiemann surface is locally represented by a ho lomorphic function element wh ich transforms like the square of a derivative under a conformal change of the parameter. More generally, one also allows for meromorphic function elements; however, in many considerations it is con venient to puncture the surface at the poles of the differential. One is then back at the holomorphic case. A quadratic differential defines, in a natural way, a field of line elements on the surface, with singularities at the critical points, i.e. the zeros and poles of the differential. The integral curves of this field are called the trajectories of the differential. A large part of this book is about the trajectory structure of quadratic differentials. There are of course local and global aspects to this structure. Be sides, there is the behaviour of an individual trajectory and the structure deter mined by entire subfamilies of trajectories. An Abelian or first order differential has an integral or primitive function is in general not single-valued. In the case of a quadratic on the surface, which differential, one first has to take the square root and then integrate. The local integrals are only determined up to their sign and arbitrary additive constants. However, it is this multivalued function which plays an important role in the theory; the trajectories are the images of the horizontals by single valued branches of its inverse.

Function Spaces and Partial Differential Equations

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Publisher : Oxford University Press
ISBN 13 : 0191047848
Total Pages : 481 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Function Spaces and Partial Differential Equations by : Ali Taheri

Download or read book Function Spaces and Partial Differential Equations written by Ali Taheri and published by Oxford University Press. This book was released on 2015-07-30 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.

Proceedings of the St. Petersburg Mathematical Society, Volume I

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895900
Total Pages : 244 pages
Book Rating : 4.8/5 (959 download)

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Book Synopsis Proceedings of the St. Petersburg Mathematical Society, Volume I by : O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik

Download or read book Proceedings of the St. Petersburg Mathematical Society, Volume I written by O. A. Ladyzhenskaya Anatoli_ Moiseevich Vershik and published by American Mathematical Soc.. This book was released on 1993-03-22 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the inaugural volume of a new book series published under the auspices of the St. Petersburg Mathematical Society. The book contains contributions by some of the leading mathematicians in St. Petersburg. Ranging over a wide array of topics, these papers testify to the diverse interests and productive mathematical life of the St. Petersburg Mathematical Society.

Complex Analysis and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034886985
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Complex Analysis and Related Topics by : E. Ramirez de Arellano

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.