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On the radon-nikodym derivatives of nonfredholm linear transformations in the space of continuous functions of several variables

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Abstract

In the space of continuous functions of m variables we study the transformation of a generalized Wiener measure under a linear change of variable described by an integral equation that is transgressive in the sense of Romanovskii.

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Literature cited

  1. I. M. Koval'chik. “On linear transformations of random functions,”Otb. i Peredach. Inform., No. 70, 17–21 (1984).

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  2. V. I. Romanovskii,Selected Works [in Russian], Vol. 2, Probability Theory, Statistics, and Analysis, Nauka, Tashkent (1964).

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  3. N. N. Chentsov, “Wiener random fields of several parameters,”Dokl. Akad. Nauk SSSR,106, No. 4, 607–609 (1956).

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Authors
  1. I. M. Koval'
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Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 32, 1990, pp. 37–40.

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Koval', I.M. On the radon-nikodym derivatives of nonfredholm linear transformations in the space of continuous functions of several variables. J Math Sci 64, 1151–1154 (1993). https://doi.org/10.1007/BF01098838

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  • DOI: https://doi.org/10.1007/BF01098838

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