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Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme

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Abstract

We study properties of annihilation operators of infinite order that act in spaces of test functions. The results obtained are used for establishing the coincidence of spaces of test functions.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kyiv

    V. A. Tesko

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  1. V. A. Tesko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 7, pp. 977–990, July, 2004.

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Tesko, V.A. Spaces appearing in the construction of infinite-dimensional analysis according to the biorthogonal scheme. Ukr Math J 56, 1166–1181 (2004). https://doi.org/10.1007/s11253-005-0102-1

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  • DOI: https://doi.org/10.1007/s11253-005-0102-1

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