Sturm-Liouville Operators, Their Spectral Theory, and Some Applications

Language: English

Published by American Mathematical Society, US, 2024

1470476665 / 9781470476663

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This book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, including such topics as Weyl:ndash;Titchmarsh theory, classical, renormalized, and perturbative oscillation theory, boundary data maps, traces and determinants for Sturm-Liouville operators, strongly singular Sturm-Liouville differential operators, generalized boundary values, and Sturm-Liouville operators with distributional coefficients. To illustrate the theory, the book develops an array of examples from Floquet theory to short-range scattering theory, higher-order KdV trace relations, elliptic and algebro-geometric finite gap potentials, reflectionless potentials and the Sodin-Yuditskii class, as well as a detailed collection of singular examples, such as the Bessel, generalized Bessel, and Jacobi operators. A set of appendices contains background on the basics of linear operators and spectral theory in Hilbert spaces, Schatten-von Neumann classes of compact operators, self-adjoint extensions of symmetric operators, including the Friedrichs and Krein-von Neumann extensions, boundary triplets for ODEs, Krein-type resolvent formulas, sesquilinear forms, Nevanlinna-Herglotz functions, and Bessel functions.…

Seller Inventory # LU-9781470476663

Title
Sturm-Liouville Operators, Their Spectral Theory, and Some Applications
Author
Fritz Gesztesy, Roger Nichols, Maxim Zinchenko
Publisher
American Mathematical Society, US
Publication year
2024
Condition
New
Binding
Hardback
Language
English
ISBN 10
1470476665
ISBN 13
9781470476663

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