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One-dimensional Schrödinger operator with unbounded potential and point interactions

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References

  1. S. Albeverio, F. Gesztesy, R. Høegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics (AMS Chelsea, Providence, RI, 2005).

    MATH  Google Scholar 

  2. S. Albeverio, A. Kostenko, and M. Malamud, J. Math. Phys. 51 (10), 102102 (2010).

    Article  MathSciNet  Google Scholar 

  3. J. Brasche, J.Math. Phys. 26 (4), 621 (1985).

    Article  MathSciNet  Google Scholar 

  4. F. Gesztesy and W. Kirsch, J. Reine Angew.Math. 362, 28 (1985).

    MathSciNet  Google Scholar 

  5. R. S. Ismagilov and A. G. Kostyuchenko, Funktsional. Anal. Prilozhen. 44 (4), 14 (2010) [Functional Anal. Appl. 44 (4), 253 (2010)].

    Article  MathSciNet  Google Scholar 

  6. A. N. Kochubei, Ukrain.Mat. Zh. 41 (10), 1391 (1989) [UkrainianMath. J. 41 (10), 1198 (1989)].

    Article  MathSciNet  Google Scholar 

  7. K. A. Mirzoev, TrudyMoskov. Mat. Obshch. 75 (2), 335 (2014) [Trans.MoscowMath. Soc. 75, 281 (2014)].

    Google Scholar 

  8. K. A. Mirzoev, Proc. Inst.Math. Mech. Natl. Acad. Sci. Azerb. 40, 290 (2014).

    MathSciNet  Google Scholar 

  9. V. A. Mikhailets, Funktsional. Anal. Prilozhen. 30 (2), 90 (1996) [Functional Anal. Appl. 30 (2), 144 (1996)].

    Article  MathSciNet  Google Scholar 

  10. C. S. Christ and G. Stolz, J.Math. Anal. Appl. 184 (3), 491 (1994).

    Article  MathSciNet  Google Scholar 

  11. A. M. Savchuk and A. A. Shkalikov, Trudy Moskov. Mat. Obshch. 64, 159 (2003) [Trans. Moscow Math. Soc. 2003, 143 (2003)].

    MathSciNet  Google Scholar 

  12. A. S. Kostenko and M.M. Malamud, J. Differential Equations 249 (2), 253 (2010).

    Article  MathSciNet  Google Scholar 

  13. A. Kostenko and M. Malamud, in Proc. Sympos. Pure Math., vol. 87: Spectral Analysis, Differential Equations andMathematical Physics: A Festschrift in Honor of Fritz Gesztesy’s 60th Birthday, (Amer. Math. Soc., Providence, RI, 2013), p. 232.

    Google Scholar 

  14. V. A. Derkach and M. M. Malamud, J. Funct. Anal. 95 (1), 1 (1991).

    Article  MathSciNet  Google Scholar 

  15. V. I. Gorbachuk and M. L. Gorbachuk, Boundary Value Problems for Differential-Operator Equations (Naukova Dumka, Kiev, 1984) [in Russian].

    MATH  Google Scholar 

  16. Yu. M. Berezanskii, Eigenfunction Expansions of Self-Adjoint Operators (Naukova Dumka, Kiev, 1965) [in Russian].

    MATH  Google Scholar 

  17. A. G. Kostyuchenko and K. A. Mirzoev, Funktsional. Anal. Prilozhen. 35 (4), 32 (2001) [Functional Anal. Appl. 35 (4), 265 (2001)].

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Donetsk, Ukraine

    A. Yu. Ananieva

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  1. A. Yu. Ananieva
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Correspondence to A. Yu. Ananieva.

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Original Russian Text © A. Yu. Ananieva, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 5, pp. 778–782.

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Ananieva, A.Y. One-dimensional Schrödinger operator with unbounded potential and point interactions. Math Notes 99, 769–773 (2016). https://doi.org/10.1134/S000143461605014X

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