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Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys & Monographs) - Hardcover
Synopsis
This volume can serve as an introduction and a reference source on spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, the author develops discrete Weyl-Titchmarsh-Kodaira theory, covering all classical aspects, such as Weyl $m$-functions, spectral functions, the moment problem, inverse spectral theory, and uniqueness results. Teschl then investigates more advanced topics, such as locating the essential, absolutely continuous, and discrete spectrum, subordinacy, oscillation theory, trace formulas, random operators, almost periodic operators, (quasi-)periodic operators, scattering theory, and spectral deformations. Utilizing the Lax approach, he introduces the Toda hierarchy and its modified counterpart, the Kac-van Moerbeke hierarchy. Uniqueness and existence theorems for solutions, expressions for solutions in terms of Riemann theta functions, the inverse scattering transform, Backlund transformations, and soliton solutions are derived. This text covers all basic topics of Jacobi operators and includes recent advances. It is suitable for use as a text at the advanced graduate level.
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From the Publisher
[The author] does an admirable job of bringing out the ideas of the subject without getting lost in the details. This is certainly an important reference for the researcher in integrable lattices.
-- Mathematical Reviews
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Jacobi Operators and Complete Integrable Nonlinear Lattices (Mathematical Surveys & Monographs)
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American Mathematical Society, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys & Monographs., Volume 72)
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ISBN 10: 0821819402
ISBN 13: 9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices
Published by
American Mathematical Society, US, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
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Hardback. Condition: New. This volume can serve as an introduction and a reference source on spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, the author develops discrete Weyl-Titchmarsh-Kodaira theory, covering all classical aspects, such as Weyl $m$-functions, spectral functions, the moment problem, inverse spectral theory, and uniqueness results.Teschl then investigates more advanced topics, such as locating the essential, absolutely continuous, and discrete spectrum, subordinacy, oscillation theory, trace formulas, random operators, almost periodic operators, (quasi-)periodic operators, scattering theory, and spectral deformations. Utilizing the Lax approach, he introduces the Toda hierarchy and its modified counterpart, the Kac-van Moerbeke hierarchy. Uniqueness and existence theorems for solutions, expressions for solutions in terms of Riemann theta functions, the inverse scattering transform, Backlund transformations, and soliton solutions are derived. This text covers all basic topics of Jacobi operators and includes recent advances. It is suitable for use as a text at the advanced graduate level. Seller Inventory # LU-9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices
Published by
Amer Mathematical Society, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
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Hardcover. Condition: Brand New. 351 pages. 13.50x7.00x1.00 inches. In Stock. Seller Inventory # __0821819402
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Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys and Monographs)
Published by
American Mathematical Society, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
New
Hardcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Presents an introduction on spectral and inverse spectral theory of Jacobi operators (second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, this book develops discrete Weyl-Titchmarsh-Kodaira theory. Editor(s): Teschl, Gerald. Series: Mathematical Surveys and Monographs. Num Pages: 344 pages. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230 x 0 x 0. Weight in Grams: 855. . 1999. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices
Published by
American Mathematical Society, US, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
New
Hardcover
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. This volume can serve as an introduction and a reference source on spectral and inverse spectral theory of Jacobi operators (i.e., second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, the author develops discrete Weyl-Titchmarsh-Kodaira theory, covering all classical aspects, such as Weyl $m$-functions, spectral functions, the moment problem, inverse spectral theory, and uniqueness results.Teschl then investigates more advanced topics, such as locating the essential, absolutely continuous, and discrete spectrum, subordinacy, oscillation theory, trace formulas, random operators, almost periodic operators, (quasi-)periodic operators, scattering theory, and spectral deformations. Utilizing the Lax approach, he introduces the Toda hierarchy and its modified counterpart, the Kac-van Moerbeke hierarchy. Uniqueness and existence theorems for solutions, expressions for solutions in terms of Riemann theta functions, the inverse scattering transform, Backlund transformations, and soliton solutions are derived. This text covers all basic topics of Jacobi operators and includes recent advances. It is suitable for use as a text at the advanced graduate level. Seller Inventory # LU-9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys and Monographs)
Published by
American Mathematical Society, 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
New
Hardcover
Seller: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
Condition: New. Presents an introduction on spectral and inverse spectral theory of Jacobi operators (second order symmetric difference operators) and applications of those theories to the Toda and Kac-van Moerbeke hierarchy. Beginning with second order difference equations, this book develops discrete Weyl-Titchmarsh-Kodaira theory. Editor(s): Teschl, Gerald. Series: Mathematical Surveys and Monographs. Num Pages: 344 pages. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230 x 0 x 0. Weight in Grams: 855. . 1999. Hardcover. . . . . Seller Inventory # V9780821819401
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Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys & Monographs., Volume 72) Gerald Teschl
Published by
American Mathematical Society., 1999
ISBN 10: 0821819402
ISBN 13: 9780821819401
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Condition: gut. 1999. Jacobi Operators and Completely Integrable Nonlinear Lattices (Mathematical Surveys & Monographs., Volume 72) In englischer Sprache. pages. Seller Inventory # BN482134
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