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Characteristic properties of integral operators with kernels of Carleman type

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Literature Cited

  1. T. Carleman, Sur les Equations Intégrales Singulières a Noyau Réel et Symmétrique, Uppsala (1923).

  2. M. Schreiber, “Semi-Carleman operators,” Acta Sci. Math., 24, Nos. 1, 2, 82–87 (1963).

    Google Scholar 

  3. N. I. Akhiezer, “Integral operators with Carleman kernels,” Usp. Mat. Nauk,2, No. 5, 93–132 (1947).

    Google Scholar 

  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. J. von Neumann, “Charakterisierung des Spectrums eines Integraloperators,” Collected Works, Vol. 4, 38–55 (1962).

    Google Scholar 

  6. N. I. Akhiezer and I. M. Glazman, The Theory of Linear Operators in Hilbert Space, Nauka, Moscow (1966).

    Google Scholar 

  7. F. Riesz and B. Sz.-Nagy, Lectures on Functional Analysis, IL, Moscow (1954).

    Google Scholar 

  8. L. V. Kartorovich and B. Z. Vulikh, “Sur les représentations des opérations linéaires,” Comp. Math.,5, 119–165 (1938).

    Google Scholar 

  9. E. Hille and R. Phillips, Functional Analysis and Semigroups, IL, Moscow (1962).

    Google Scholar 

  10. V. B. Korotkov, “Integral operators with Carleman kernels,” Diff. Uravn.,2, No. 2, 252–265 (1966).

    Google Scholar 

  11. V. B. Korotkov, “On integral operators with Carleman kernels,” Dokl. Akad. Nauk SSSR,165, No. 4, 748–751 (1965).

    Google Scholar 

  12. G. Targonski, Seminar on Functional Operators and Equations, Lecture Notes in Math., 33, 1–110 (1967).

    Google Scholar 

  13. S. Kachmazh and G. Shteingauz, The Theory of Orthogonal Series, Fizmatgiz, Moscow (1958).

    Google Scholar 

  14. N. Dunford and J. T. Schwartz, Linear Operators, General Theory [Russian translation], IL, Moscow (1962).

    Google Scholar 

  15. B. Sz.-Nagy, “Spectraldarstellung linearer Transformation des Hilbertschen Raumes,” Erg. der Math.,5/5 (1942).

  16. I. M. Gel'fand and N. Ya. Vilenkin, Some Applications of Harmonic Analysis, Rigged Hilbert Spaces, Fizmatgiz, Moscow (1961).

    Google Scholar 

  17. M. A. Krasnosel'skii, P. P. Zabreiko, E. I. Pustyl'nik, and P. E. Sobolevskii, Integral Operators in Spaces of Summable Functions, Nauka, Moscow (1966).

    Google Scholar 

  18. I. P. Natanson, Theory of Functions of a Real Variable, GITTL, Moscow (1947).

    Google Scholar 

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Authors
  1. V. B. Korotkov
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No. 1, January–February, 1970.

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Korotkov, V.B. Characteristic properties of integral operators with kernels of Carleman type. Sib Math J 11, 84–104 (1970). https://doi.org/10.1007/BF00970236

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  • DOI: https://doi.org/10.1007/BF00970236

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