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Author: Yurij M. Berezansky
Publisher: Springer Nature
ISBN: 3031463870
Category : Mathematics
Languages : en
Pages : 489
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Book Description
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.
Author: Yurij M. Berezansky
Publisher: Springer Nature
ISBN: 3031463870
Category : Mathematics
Languages : en
Pages : 489
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Book Description
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.
Author: Jurij Makarovič Berezanskij
Publisher:
ISBN: 9783031463891
Category :
Languages : en
Pages : 0
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Book Description
Author: N. I. Akhiezer
Publisher: Courier Dover Publications
ISBN: 0486845559
Category : Mathematics
Languages : en
Pages : 273
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Book Description
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.
Author: Palle E. T. Jørgensen
Publisher: American Mathematical Soc.
ISBN: 0821852485
Category : Infinite matrices
Languages : en
Pages : 122
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Book Description
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.
Author: Vadim Adamyan
Publisher: Springer Science & Business Media
ISBN: 376439921X
Category : Mathematics
Languages : en
Pages : 518
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Book Description
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.
Author: James Alexander Shohat
Publisher: American Mathematical Society(RI)
ISBN:
Category : Mathematics
Languages : en
Pages : 168
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Book Description
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.
Author: Renato Alvarez-Nodarse
Publisher: Nova Publishers
ISBN: 9781594540097
Category : Mathematics
Languages : en
Pages : 222
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Book Description
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.
Author: Daesoo Han
Publisher:
ISBN:
Category : Lasers
Languages : en
Pages : 722
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Book Description
Author:
Publisher:
ISBN:
Category : Lasers
Languages : en
Pages : 722
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Book Description
Author: Atkinson
Publisher: Academic Press
ISBN: 0080955169
Category : Computers
Languages : en
Pages : 586
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Book Description
Discrete and Continuous Boundary Problems
