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Riesz bases of solutions of Sturm-Liouville equations

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Abstract

This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions. The investigation is based on the stability of Riesz bases of cosines and sines in the Hibert space L2[0,π].

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, 53201, Milwaukee, WI

    Xionghui He

  2. Department of Mathematics and Computer Science, Lambuth University, 38301, Jackson, TN

    Xionghui He

  3. Department of Mathematical Sciences, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, WI, 53201

    Hans Volkmer

Authors
  1. Xionghui He
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  2. Hans Volkmer
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Communicated by Hans G. Feichtinger

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He, X., Volkmer, H. Riesz bases of solutions of Sturm-Liouville equations. The Journal of Fourier Analysis and Applications 7, 297–307 (2001). https://doi.org/10.1007/BF02511815

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  • DOI: https://doi.org/10.1007/BF02511815

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