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Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments

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Sturm-Liouville Theory

Abstract

This review discusses some of the central developments in the spectral theory of Sturm-Liouville operators on infinite intervals over the last thirty years or so. We discuss some of the natural questions that occur in this framework and some of the main models that have been studied.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University, 91904, Jerusalem, Israel

    Yoram Last

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  1. Yoram Last
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Editors and Affiliations

  1. Section de Physique, Université de Genève, 24, quai Ernest-Ansermet, 1211, Genève 4, Switzerland

    Werner O. Amrein

  2. Mathematisches Institut, Universität München, Theresienstrasse 39, D-80333, München, Germany

    Andreas M. Hinz

  3. Department of Mathematics, University of Hull, Cottingham Road, Hull, HU6 7RX, UK

    David P. Pearson

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Last, Y. (2005). Spectral Theory of Sturm-Liouville Operators on Infinite Intervals: A Review of Recent Developments. In: Amrein, W.O., Hinz, A.M., Pearson, D.P. (eds) Sturm-Liouville Theory. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7359-8_5

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