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On M. G. Krein's papers in the theory of spaces with an indefinite metric

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This is a survey of the papers by M. G. Krein (and his disciples) devoted to the theory of operators in spaces with an indefinite metric and its applications.

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  30. M. G. Krein and H. Langer, “Über die Q-Funktion eines π-Hermiteschen Operators im Räume Π K ,”Acta Sci. Math.,34, 191–230 (1973).

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  36. M. G. Krein and H. Langer, “On some continuation problems which are closely related to the theory of operators in spaces Π K , IV: Continuous analogues of orthogonal polynomials on the unit circle with respect to an indefinite weight and related continuation problems for some classes of functions,”J. Oper. Theory,13, 299–417 (1985).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, Nos. 1–2, pp. 5–17, January–February, 1994.

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Azizov, T.Y., Ginsburg, Y.P. & Langer, H. On M. G. Krein's papers in the theory of spaces with an indefinite metric. Ukr Math J 46, 3–14 (1994). https://doi.org/10.1007/BF01056997

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  • DOI: https://doi.org/10.1007/BF01056997

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