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Continuations of a real hermite-indefinite function with a negative square

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. F. R. Gantmakher, Theory of Matrices [in Russian], Gostekhizdat (1953).

  2. M. G. Krein, “Integral representation of a continuous Hermite-indefinite function with a finite number of negative squares,” Dokl. Akad. NaukSSSR,125, No. 1 (1959).

  3. V.I. Plyushcheva (Gorbachuk), ldIntegral representation of continuous Hermite-indefinite kernels,” Dokl. Akad. Nauk SSSR,.145, No. 3 (1962).

  4. I. S. Iokhvidov and M. G. Krein, “Spectral theory of operators in a space with an indefinite metric,” Transactions of the Moscow Mathematical Society [in Russian], Vol.8, Izd. AN SSSR, 8 (1959).

  5. Yu. M. Berezanskii, Expansion of Self-Adjoint Operators in Eigenfunctions [in Russian], Izd. “Naukova Dumka,” Kiev (1965).

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  6. I. S. Iokhvidov, “Unitary expansions of isometric operators in a Pontryagin space II1 and continuations in the classB 1, of finite sequences of the classB 1 ▸ Π,” Dokl. Akad. Nauk SSSR,172, No. 1 (1967).

  7. I. S. Iokhvidov, “Spectral trajectories generated by unitary expansions of isometric shift operators in a finite-dimensional space II1,” Dokl. Akad. Nauk SSSR,172, No. 2 (1967).

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Authors and Affiliations

  1. Institute of Mathematics, Academy ot Sciences of the UkrSSR, USSR

    V. I. Gorbachuk

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  1. V. I. Gorbachuk
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Translated from ukralnskii Matematicheskii Zhurnal, Vol.19, No. 4, pp. 119–125, July–August, 1967.

The author wishes to thank M. G. Krein for his interest ion the present study and for valuable comments.

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Gorbachuk, V.I. Continuations of a real hermite-indefinite function with a negative square. Ukr Math J 19, 483–488 (1967). https://doi.org/10.1007/BF01090409

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  • DOI: https://doi.org/10.1007/BF01090409

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