Jacobi Matrices and the Moment Problem

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Publisher : Springer Nature
ISBN 13 : 3031463870
Total Pages : 489 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Jacobi Matrices and the Moment Problem by : Yurij M. Berezansky

Download or read book Jacobi Matrices and the Moment Problem written by Yurij M. Berezansky and published by Springer Nature. This book was released on 2024-01-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results. The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.

Jacobi Matrices and the Moment Problem

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Publisher :
ISBN 13 : 9783031463891
Total Pages : 0 pages
Book Rating : 4.4/5 (638 download)

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Book Synopsis Jacobi Matrices and the Moment Problem by : Jurij Makarovič Berezanskij

Download or read book Jacobi Matrices and the Moment Problem written by Jurij Makarovič Berezanskij and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrices, Moments and Quadrature with Applications

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Publisher : Princeton University Press
ISBN 13 : 1400833884
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Matrices, Moments and Quadrature with Applications by : Gene H. Golub

Download or read book Matrices, Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.

The Classical Moment Problem

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486845559
Total Pages : 273 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Classical Moment Problem by : N. I. Akhiezer

Download or read book The Classical Moment Problem written by N. I. Akhiezer and published by Courier Dover Publications. This book was released on 2020-12-16 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a classic treatment of issues associated with the moment problem that also involve linear algebra, probability theory, stochastic processes, quantum fields, signal processing, and more. 1965 edition.

Iterated Function Systems, Moments, and Transformations of Infinite Matrices

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852485
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Iterated Function Systems, Moments, and Transformations of Infinite Matrices by : Palle E. T. Jørgensen

Download or read book Iterated Function Systems, Moments, and Transformations of Infinite Matrices written by Palle E. T. Jørgensen and published by American Mathematical Soc.. This book was released on 2011 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study is the infinite matrix which encodes all the moment data of a Borel measure on $\mathbb{R}^d$ or $\mathbb{C}$. To encode the salient features of a given IFS into precise moment data, they establish an interdependence between IFS equilibrium measures, the encoding of the sequence of moments of these measures into operators, and a new correspondence between the IFS moments and this family of operators in Hilbert space. For a given IFS, the authors' aim is to establish a functorial correspondence in such a way that the geometric transformations of the IFS turn into transformations of moment matrices, or rather transformations of the operators that are associated with them.

Modern Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 376439921X
Total Pages : 518 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Modern Analysis and Applications by : Vadim Adamyan

Download or read book Modern Analysis and Applications written by Vadim Adamyan and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

The Problem of Moments

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Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by American Mathematical Society(RI). This book was released on 1950 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. This book discusses the initial developments by Stieltjes, Markov, and Chebyshev, and later contributions by Hamburger, Nevanlinna, Hausdorff, and Stone.

Laredo Lectures on Orthogonal Polynomials and Special Functions

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Publisher : Nova Publishers
ISBN 13 : 9781594540097
Total Pages : 222 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Laredo Lectures on Orthogonal Polynomials and Special Functions by : Renato Alvarez-Nodarse

Download or read book Laredo Lectures on Orthogonal Polynomials and Special Functions written by Renato Alvarez-Nodarse and published by Nova Publishers. This book was released on 2004 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book presents research in orthogonal polynomials and special functions. Recent developments in the theory and accomplishments of the last decade are pointed out and directions for research in the future are identified. The topics covered include matrix orthogonal polynomials, spectral theory and special functions, Asymptotics for orthogonal polynomials via Riemann-Hilbert methods, Polynomial wavelets and Koornwinder polynomials.

The Problem of Moments

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821815016
Total Pages : 160 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Problem of Moments by : James Alexander Shohat

Download or read book The Problem of Moments written by James Alexander Shohat and published by American Mathematical Soc.. This book was released on 1943-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for the first 50 years, after its introduction by Stieltjes in the 1890s. In addition to initial developments by Stieltjes, Markov, and Chebyshev, later contributions by Hamburger, Nevanlinna, Hausdorff, Stone, and others are discussed. The book also contains some results on the trigonometric moment problem and a chapter devoted to approximate quadrature formulas.

Fifth International Conference on Squeezed States and Uncertainty Relations

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Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Fifth International Conference on Squeezed States and Uncertainty Relations by : Daesoo Han

Download or read book Fifth International Conference on Squeezed States and Uncertainty Relations written by Daesoo Han and published by . This book was released on 1998 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Conference on Squeezed States and Uncertainty Relations

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Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis International Conference on Squeezed States and Uncertainty Relations by :

Download or read book International Conference on Squeezed States and Uncertainty Relations written by and published by . This book was released on 1997 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discrete and Continuous Boundary Problems

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Publisher : Academic Press
ISBN 13 : 0080955169
Total Pages : 586 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Discrete and Continuous Boundary Problems by : Atkinson

Download or read book Discrete and Continuous Boundary Problems written by Atkinson and published by Academic Press. This book was released on 1964-01-01 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete and Continuous Boundary Problems

The Differential Equations of Birth-and-death Processes and the Stieltjes Moment Problem

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Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Differential Equations of Birth-and-death Processes and the Stieltjes Moment Problem by : Samuel Karlin

Download or read book The Differential Equations of Birth-and-death Processes and the Stieltjes Moment Problem written by Samuel Karlin and published by . This book was released on 1957 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation, Schur Functions and Moment Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3764375477
Total Pages : 304 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 304 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.

Israel Gohberg and Friends

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Publisher : Springer Science & Business Media
ISBN 13 : 3764387343
Total Pages : 312 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Israel Gohberg and Friends by : Harm Bart

Download or read book Israel Gohberg and Friends written by Harm Bart and published by Springer Science & Business Media. This book was released on 2008-09-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians do not work in isolation. They stand in a long and time honored tradition. They write papers and (sometimes) books, they read the publications of fellow workers in the ?eld, and they meet other mathematicians at conferences all over the world. In this way, in contact with colleagues far away and nearby, from the past (via their writings) and from the present, scienti?c results are obtained whicharerecognizedasvalid.Andthat–remarkablyenough–regardlessofethnic background, political inclination or religion. In this process, some distinguished individuals play a special and striking role. They assume a position of leadership. They guide the people working with them through uncharted territory, thereby making a lasting imprint on the ?eld. So- thing which can only be accomplished through a combination of rare talents: - usually broad knowledge, unfailing intuition and a certain kind of charisma that binds people together. AllofthisispresentinIsraelGohberg,themantowhomthisbookisdedicated,on theoccasionof his 80thbirthday.This comes to the foregroundunmistakably from the contributions from those who worked with him or whose life was a?ected by him. Gohberg’sexceptionalqualitiesarealsoapparentfromthe articleswritten by himself, sometimes jointly with others, that are reproduced in this book. Among these are stories of his life, some dealing with mathematical aspects, others of a more general nature. Also included are reminiscences paying tribute to a close colleaguewho isnotamongusanymore,speechesorreviewshighlightingthework and personality of a friend or esteemed colleague, and responses to the laudatio’s connected with the several honorary degrees that were bestowed upon him.

Topics in Operator Theory and Interpolation

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Publisher : Birkhäuser
ISBN 13 : 3034891628
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Topics in Operator Theory and Interpolation by : I. Gohberg

Download or read book Topics in Operator Theory and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Theory of Canonical Systems

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110562286
Total Pages : 264 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Spectral Theory of Canonical Systems by : Christian Remling

Download or read book Spectral Theory of Canonical Systems written by Christian Remling and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-21 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Canonical systems occupy a central position in the spectral theory of second order differential operators. They may be used to realize arbitrary spectral data, and the classical operators such as Schrödinger, Jacobi, Dirac, and Sturm-Liouville equations can be written in this form. ‘Spectral Theory of Canonical Systems’ offers a selfcontained and detailed introduction to this theory. Techniques to construct self-adjoint realizations in suitable Hilbert spaces, a modern treatment of de Branges spaces, and direct and inverse spectral problems are discussed. Contents Basic definitions Symmetric and self-adjoint relations Spectral representation Transfer matrices and de Branges spaces Inverse spectral theory Some applications The absolutely continuous spectrum