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Item Details
| Title:
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STURM-LIOUVILLE OPERATORS, THEIR SPECTRAL THEORY, AND SOME APPLICATIONS
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| By: |
Fritz Gesztesy |
| List price:
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£116.00 |
| Our price: |
£104.40 |
| Discount: |
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| You save:
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£11.60 |
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| ISBN 10: |
1470476665 |
| ISBN 13: |
9781470476663 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
8 July, 2024 |
| Pages: |
927 |
| Description: |
This book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, including such topics as Weyl-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. |
| Returns: |
Returnable |
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