Journal of Mathematical Sciences

, Volume 243, Issue 5, pp 783–807 | Cite as

The Wave Model of the Sturm–Liouville Operator on an Interval

  • S. A. SimonovEmail author

In the paper the wave functional model of a symmetric restriction of the regular Sturm-Liouville operator on an interval is constructed. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme, which was proposed earlier. The result of the construction is a differential operator of the second order on an interval, which differs from the original operator only by a simple transformation.


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Authors and Affiliations

  1. 1.St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of SciencesSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

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