Sturm-Liouville Operators, Their Spectral Theory, and Some Applications: 67 (Colloquium Publications) - Image 1

£92.69

American Mathematical Society Sturm-Liouville Operators, Their Spectral Theory, and Some Applications: 67 (Colloquium Publications)

Name: Sturm-Liouville Operators, Their Spectral Theory, and Some Applications: 67 (Colloquium Publications)
Brand: American Mathematical Society
Price: 92.69 GBP
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Differential Equations

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Description

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.

Product Specifications

Brand: American Mathematical Society
Format: hardcover
ASIN: 1470476665
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 31 October 2024
Listed Since: 08 November 2024

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American Mathematical Society Sturm-Liouville Operators, Their Spectral Theory, and Some Applications: 67 (Colloquium Publications)

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