Email this article The Wave Model of the Sturm–Liouville Operator on an Interval
- Authors: Simonov S.A.1,2
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Affiliations:
- St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
- St. Petersburg State University
- Issue: Vol 243, No 5 (2019)
- Pages: 783-807
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243161
- DOI: https://doi.org/10.1007/s10958-019-04578-2
- ID: 243161
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Abstract
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.
About the authors
S. A. Simonov
St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences; St. Petersburg State University
Author for correspondence.
Email: sergey.a.simonov@gmail.com
Russian Federation, St. Petersburg; St. Petersburg
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