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The Carleman property of functions of selfadjoint operators

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Literature Cited

  1. N. I. Akhiezer, “Integral operators with Carleman kernels,” Uspekhi Matem Nauk.,II, No. 5, 93–132 (1947).

    Google Scholar 

  2. N. I. Akhiezer, and I. M. Glazman, The Theory of Linear Operators in a Hilbert Space [in Russian], Izdat. Nauka, Moscow (1966).

    Google Scholar 

  3. T. Carleman, Sur les équations intégrales singulières a noyau réel et symetrique, Uppsala (1923).

  4. B. Misra, D. Speiser, and G. Targonski, “Integral operators in the theory of scattering,” Helv. Phys. Acta,36, No. 7, 963–980 (1963).

    Google Scholar 

  5. V. B. Korotkov, “Integral operators with kernels satisfying the conditions of Carleman and Akhiezer. I,” Sibirsk. Matem. Zh.,VII, No. 5, 1041–1055 (1971).

    Google Scholar 

  6. V. B. Korotkov, “On integral operators,” Dokl. Akad. Nauk SSSR,195, No. 6, 1267–1269 (1970).

    Google Scholar 

  7. L. V. Kantorovich, B. Z. Vulikh, and A. G. Pinsker, Functional Analysis in Partially Ordered Spaces [in Russian], GITTL, Moscow-Leningrad (1950).

    Google Scholar 

  8. N. Dunford and J. T. Schwartz, Linear Operators. Spectral Theory [Russian translation], Izdat. Mir, Moscow (1966).

    Google Scholar 

  9. V. I. Smirnov, A Course of Higher Mathematics, Vol. V [in Russian], Gos. Izdat. Fiz.-Mat. Lit., Moscow (1959).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 4, pp. 845–854, July–August, 1974.

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Korotkov, V.B. The Carleman property of functions of selfadjoint operators. Sib Math J 15, 600–606 (1974). https://doi.org/10.1007/BF00967435

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  • DOI: https://doi.org/10.1007/BF00967435

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