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Title:
Multiparameter eigenvalue problems Sturm-Liouville theory
Author:
Atkinson, F. V.
ISBN:
9781439816233
Publication Information:
Baca Raton, Fla. : CRC Press, 2011.
Physical Description:
xvii, p.
Contents:
1. Preliminaries and early history -- 2. Some typical multiparameter problems -- 3. Definiteness conditions and the spectrum -- 4. Determinants of functions -- 5. Oscillation theorems -- 6. Eigencurves -- 7. Oscillations for other multiparameter systems -- 8. Distribution of eigenvalues -- 9. The essential spectrum -- 10. The completeness of eigenfunctions -- 11. Limit-circle, limit-point theory -- 12. Spectral functions.
Abstract:
"With special attention to the Sturm-Liouville theory, this book discusses the full multiparameter theory as applied to second-order linear equations. It considers the spectral theory of these multiparameter problems in detail for both the regular and singular cases. The text covers eignencurves, the essential spectrum, eigenfunctions, oscillation theorems, the distribution of eigencurves, the limit point, limit circle theory, and more. This text is the culmination of more than two decades of research by F.V. Atkinson, one of the masters in the field, and his successors, who continued his work after he passed away in 2002"-- Provided by publisher.
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