Functions of Omega-Bounded Type

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Publisher : Springer Nature
ISBN 13 : 3031498852
Total Pages : 366 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Functions of Omega-Bounded Type by : Armen M. Jerbashian

Download or read book Functions of Omega-Bounded Type written by Armen M. Jerbashian and published by Springer Nature. This book was released on with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470436248
Total Pages : 100 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory by : Raúl E. Curto

Download or read book Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory written by Raúl E. Curto and published by American Mathematical Soc.. This book was released on 2019-09-05 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the authors study matrix functions of bounded type from the viewpoint of describing an interplay between function theory and operator theory. They first establish a criterion on the coprime-ness of two singular inner functions and obtain several properties of the Douglas-Shapiro-Shields factorizations of matrix functions of bounded type. They propose a new notion of tensored-scalar singularity, and then answer questions on Hankel operators with matrix-valued bounded type symbols. They also examine an interpolation problem related to a certain functional equation on matrix functions of bounded type; this can be seen as an extension of the classical Hermite-Fejér Interpolation Problem for matrix rational functions. The authors then extend the H∞-functional calculus to an H∞¯¯¯¯¯¯¯¯¯+H∞-functional calculus for the compressions of the shift. Next, the authors consider the subnormality of Toeplitz operators with matrix-valued bounded type symbols and, in particular, the matrix-valued version of Halmos's Problem 5 and then establish a matrix-valued version of Abrahamse's Theorem. They also solve a subnormal Toeplitz completion problem of 2×2 partial block Toeplitz matrices. Further, they establish a characterization of hyponormal Toeplitz pairs with matrix-valued bounded type symbols and then derive rank formulae for the self-commutators of hyponormal Toeplitz pairs.

Functions of A-Bounded Type in the Half-Plane

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387236254
Total Pages : 220 pages
Book Rating : 4.2/5 (362 download)

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Book Synopsis Functions of A-Bounded Type in the Half-Plane by : A.M. Jerbashian

Download or read book Functions of A-Bounded Type in the Half-Plane written by A.M. Jerbashian and published by Springer Science & Business Media. This book was released on 2005-01-10 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. Audience The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for new researchers and qualified specialists in the field.

Harmonic Analysis and Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 3031243110
Total Pages : 241 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Michael Ruzhansky

Download or read book Harmonic Analysis and Partial Differential Equations written by Michael Ruzhansky and published by Springer Nature. This book was released on 2023-03-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Krzyz Conjecture, The: Theory And Methods

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Publisher : World Scientific
ISBN 13 : 9811226393
Total Pages : 620 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Krzyz Conjecture, The: Theory And Methods by : Ronen Peretz

Download or read book Krzyz Conjecture, The: Theory And Methods written by Ronen Peretz and published by World Scientific. This book was released on 2021-03-17 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about one of the beautiful topics in mathematics. It describes an on-going research on bounded analytic functions which are defined on the unit disc. This is a very active topic that belongs to the theory of complex analysis in a single complex variable. Complex analysis is one of the classical chapters in Mathematics. It contains the analytic theory of functions, the geometric function theory among other theoretical areas, as well as many applications. Some applications originate in other fields of mathematics: geometry, topology, arithmetic and number theory in general, algebra etc. Other applications originate in other scientific and engineering disciplines: physics, dynamical systems, electrical engineering etc.The book includes much more than just a review on the Krzyż conjecture. It includes topics on inner functions within the context of problems that are different from the Krzyż conjecture as well as other topics on general bounded analytic functions. Progress in mathematical research is frequently fuelled by efforts to solve open problems. The book also includes a few important open problems and some partial solutions of these.

Hardy Classes and Operator Theory

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Publisher : Courier Corporation
ISBN 13 : 9780486695365
Total Pages : 204 pages
Book Rating : 4.6/5 (953 download)

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Book Synopsis Hardy Classes and Operator Theory by : Marvin Rosenblum

Download or read book Hardy Classes and Operator Theory written by Marvin Rosenblum and published by Courier Corporation. This book was released on 1997-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications

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Publisher : Birkhäuser
ISBN 13 : 3319170708
Total Pages : 418 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications by : Manfred Möller

Download or read book Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications written by Manfred Möller and published by Birkhäuser. This book was released on 2015-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-λI for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depending on the spectral parameter, are represented by operator polynomials that are quadratic in the eigenvalue parameter and whose coefficients are self-adjoint operators. The spectra of such operator polynomials are in general no more real, but still exhibit certain patterns. The distribution of these spectra is the main focus of the present volume. For some classes of quadratic operator polynomials, inverse problems are also considered. The connection between the spectra of such quadratic operator polynomials and generalized Hermite-Biehler functions is discussed in detail. Many applications are thoroughly investigated, such as the Regge problem and damped vibrations of smooth strings, Stieltjes strings, beams, star graphs of strings and quantum graphs. Some chapters summarize advanced background material, which is supplemented with detailed proofs. With regard to the reader’s background knowledge, only the basic properties of operators in Hilbert spaces and well-known results from complex analysis are assumed.

Function Theory and ℓp Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 1470455935
Total Pages : 219 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Function Theory and ℓp Spaces by : Raymond Cheng

Download or read book Function Theory and ℓp Spaces written by Raymond Cheng and published by American Mathematical Soc.. This book was released on 2020-05-28 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.

Contributions to Partial Differential Equations and Applications

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Publisher : Springer
ISBN 13 : 3319783254
Total Pages : 452 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Contributions to Partial Differential Equations and Applications by : B. N. Chetverushkin

Download or read book Contributions to Partial Differential Equations and Applications written by B. N. Chetverushkin and published by Springer. This book was released on 2018-07-19 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume. It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016. This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications. This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained. It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.

Progress in Functional Analysis

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Publisher : Elsevier
ISBN 13 : 0080872816
Total Pages : 461 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Progress in Functional Analysis by : K.D. Bierstedt

Download or read book Progress in Functional Analysis written by K.D. Bierstedt and published by Elsevier. This book was released on 1992-01-10 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes a collection of research articles in Functional Analysis, celebrating the occasion of Manuel Valdivia's sixtieth birthday. The papers included in the volume are based on the main lectures presented during the international functional analysis meeting held in Peñíscola (Valencia, Spain) in October 1990. During his career, Valdivia has made contributions to a wide variety of areas of Functional Analysis and his work has had a profound impact. A thorough appreciation of Valdivia's work is presented in J. Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research (Banach spaces, operator ideals, tensor products, Fréchet, (DF) and (LF) spaces, distribution theory, infinite holomorphy etc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.

Selected Topics in Almost Periodicity

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110763605
Total Pages : 606 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Selected Topics in Almost Periodicity by : Marko Kostić

Download or read book Selected Topics in Almost Periodicity written by Marko Kostić and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-22 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail.

Quantum Information V

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Publisher : World Scientific
ISBN 13 : 9812385851
Total Pages : 228 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Quantum Information V by : Takeyuki Hida

Download or read book Quantum Information V written by Takeyuki Hida and published by World Scientific. This book was released on 2006 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: http://www.worldscientific.com/worldscibooks/10.1142/5378

Operator Theory, Function Spaces, and Applications

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Publisher : Birkhäuser
ISBN 13 : 3319313835
Total Pages : 240 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Operator Theory, Function Spaces, and Applications by : Tanja Eisner

Download or read book Operator Theory, Function Spaces, and Applications written by Tanja Eisner and published by Birkhäuser. This book was released on 2016-09-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

Functional Analysis and Geometry: Selim Grigorievich Krein Centennial

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Publisher : American Mathematical Soc.
ISBN 13 : 1470437821
Total Pages : 300 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Functional Analysis and Geometry: Selim Grigorievich Krein Centennial by : Peter Kuchment

Download or read book Functional Analysis and Geometry: Selim Grigorievich Krein Centennial written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 2019-07-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 734. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in functional analysis, operator theory, several complex variables, topological dynamics, and algebraic, convex, and integral geometry.

Pseudo Differential Operators & Markov Processes

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Publisher : Imperial College Press
ISBN 13 : 1860947158
Total Pages : 504 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Pseudo Differential Operators & Markov Processes by : Niels Jacob

Download or read book Pseudo Differential Operators & Markov Processes written by Niels Jacob and published by Imperial College Press. This book was released on 2005 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume concentrates on how to construct a Markov process by starting with a suitable pseudo-differential operator. Feller processes, Hunt processes associated with Lp-sub-Markovian semigroups and processes constructed by using the Martingale problem are at the center of the considerations. The potential theory of these processes is further developed and applications are discussed. Due to the non-locality of the generators, the processes are jump processes and their relations to Levy processes are investigated. Special emphasis is given to the symbol of a process, a notion which generalizes that of the characteristic exponent of a Levy process and provides a natural link to pseudo-differential operator theory.

Interpolation, Schur Functions and Moment Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764375477
Total Pages : 310 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Interpolation, Schur Functions and Moment Problems by : Daniel Alpay

Download or read book Interpolation, Schur Functions and Moment Problems written by Daniel Alpay and published by Springer Science & Business Media. This book was released on 2006-06-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Schur analysis originated with an 1917 article which associated to a function, which is analytic and contractive in the open unit disk, a sequence, finite or infinite, of numbers in the open unit disk, called Schur coefficients, often named reflection coefficients in signal processing. This volume comprises seven essays dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.

Paradigms of Combinatorial Optimization

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Publisher : John Wiley & Sons
ISBN 13 : 1118600185
Total Pages : 483 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Paradigms of Combinatorial Optimization by : Vangelis Th. Paschos

Download or read book Paradigms of Combinatorial Optimization written by Vangelis Th. Paschos and published by John Wiley & Sons. This book was released on 2013-05-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. “Paradigms of Combinatorial Optimization” is divided in two parts: • Paradigmatic Problems, that handles several famous combinatorial optimization problems as max cut, min coloring, optimal satisfiability tsp, etc., the study of which has largely contributed to both the development, the legitimization and the establishment of the Combinatorial Optimization as one of the most active actual scientific domains; • Classical and New Approaches, that presents the several methodological approaches that fertilize and are fertilized by Combinatorial optimization such as: Polynomial Approximation, Online Computation, Robustness, etc., and, more recently, Algorithmic Game Theory.