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On extensions of the Bessel operator on a finite interval and a half-line

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Abstract

The minimum and maximum operators generated by a Bessel differential expression are studied. The boundary triplets for the maximum operator A ν,max are constructed, and the corresponding Weyl functions are found. All non-negative self-adjoint extensions of the minimum operator A ν,min are described.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, 74, R. Luxemburg Str., Donetsk, 83114, Ukraine

    Viktoriya S. Alekseeva & Aleksandra Yu. Ananieva

Authors
  1. Viktoriya S. Alekseeva
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  2. Aleksandra Yu. Ananieva
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Correspondence to Viktoriya S. Alekseeva.

Additional information

Translated from Russian by V. V. Kukhtin

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 9, No. 2, pp. 147–156, April–May, 2012.

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Alekseeva, V.S., Ananieva, A.Y. On extensions of the Bessel operator on a finite interval and a half-line. J Math Sci 187, 1–8 (2012). https://doi.org/10.1007/s10958-012-1044-4

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  • DOI: https://doi.org/10.1007/s10958-012-1044-4

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