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

Gesztesy, Fritz; Nichols, Roger; Zinchenko, Maxim

Couverture rigide

ISBN 10 : 1470476665 ISBN 13 : 9781470476663

Editeur : American Mathematical Society, 2024

Synopsis

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.

A propos du livre

À propos de l'auteur

Fritz Gesztesy, Baylor University, Waco, TX, Roger Nichols, The University of Tennessee at Chattanooga, TN, and Maxim Zinchenko, University of New Mexico, Albuquerque, NM.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2024
• Langue: anglais
• ISBN 10: 1470476665
• ISBN 13: 9781470476663
• Reliure: Relié
• Nombre de pages: 927
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible