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The generalized degree symmetric moment problem

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Literature cited

  1. Yu. M. Berezanskii, “Expansion in eigen functions for self-conjugate operators,” Naukova Dumka, Kiev (1965).

    Google Scholar 

  2. A. G. Kostyuchenko and B. S. Mityagin, “Positive definite functionals in kernel spaces,” Trudy Mosk. Matem. Obshch.,9 (1960).

  3. R. Streeter and A. S. Wightman, RST, Spin, Statistics, and the Like [Russian translation], Nauka. Moscow (1966).

    Google Scholar 

  4. R. Yost, General Theory of Quantum Fields [in Russian], Mir, Moscow (1967).

    Google Scholar 

  5. Yu. M. Berezanskii, “On self-conjugate field operators and integral representations of Wightman-like functions,“ Ukr. Matem. Zh.,18, No. 3 (1966).

  6. Yu. M. Berezanskii and M. L. Gorbachuk, “Integral representation of positive definite functionals of Wightman type,” Int. Math. Congress, Sec. 5, Moscow (1966).

  7. Yu. M. Berezanskii, “Some generalized degree moment problems,” Dokl. AN SSSR,172, No. 3 (1967).

  8. Yu. M. Berezanskii, “Integral representations of positive definite functionals of Wightman type,” Ukr. Matem. Zh.,19, No. 1 (1967).

  9. Yu. M. Berezanskii, “Representation of functionals of Wightman type by continual integrals,” Funkts. Anal, i Prilozh.,3, No. 2 (1969).

  10. Yu. M. Berezanskii. “Generalized degree moment problem,” Trud. Mosk. Matem. Obshch.,21 (1970).

  11. Yu. M. Berezanskii, “On the generalized degree moment problem,” Ukr. Matem. Zh.,22, No. 4 (1970).

  12. V. P. Gachok, “Integral representations of vacuum expectation values involving local commutativity, ” Preprint ITF-67-16, Inst. Teoret. Fiziki, AN UkrSSR, Kiev (1967).

    Google Scholar 

  13. V. P. Gachok, “Integral representations in Euclidean quantum field theory and their consequences in the relativistic case,” Preprint ITF-67-50, Inst. Teoret. Fiziki, AN UkrSSR, Kiev (1967).

    Google Scholar 

  14. V. P. Gachok, “Problem of moments in the quantum theory of fields.” Autoreview, Doctoral Dissertation, Int. Matem., AN UkrSSR, Kiev (1968).

    Google Scholar 

  15. Yu. S. Samoilenko and L. M. Korsunskii, “Integral representation of invariant positive definite matrix kernels,” Ukr. Matem. Zh.,21, No. 4 (1969).

  16. A. Grossman, “Hilbert space of type S,“ J. Math. Phys.,6, Part 1, 54–67 (1965).

    Google Scholar 

  17. I. M. Gel'fand and G. E. Shilov, Fundamental Spaces and Generalized Functions [in Russian], Vol. 2, Fizmatgiz, Moscow (1958).

    Google Scholar 

  18. Yu. M. Berezanskii, “Expansion in generalized eigen vectors and integral representation of positive definite kernels in continual integral form,” Sib. Matem. Zh.,9, No. 5 (1968).

  19. R. A. Minlos, “Generalized random processes and their continuation in measure,” Trud. Mosk. Matem. Obshch.,8 (1959).

  20. I. M. Gel'fand and N. Ya. Vilenkin, Fundamental Spaces and Generalized Functions [in Russian], Vol. 4, Fizmatgiz. Moscow (1961).

    Google Scholar 

  21. R. S. Ismagilov, “Self-conjugate extensions of a system of commutative symmetric operators,” Dokl. AN SSSR,133, No. 3 (1960).

  22. G. I. Eskin, “Some conditions for extension of multidimensional moment problems,”133, No. 3 (1960).

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR. Kiev State University, USSR

    Yu. M. Berezanskii & S. N. Shifrin

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  1. Yu. M. Berezanskii
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  2. S. N. Shifrin
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 23, No. 3, pp. 291–306, May–June, 1971.

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Berezanskii, Y.M., Shifrin, S.N. The generalized degree symmetric moment problem. Ukr Math J 23, 247–258 (1971). https://doi.org/10.1007/BF01085348

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