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Atomic functions of three variables invariant with respect to a rotation group

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Cybernetics and Systems Analysis Aims and scope

Abstract

Atomic functions of three variables, i.e., infinitely differentiable compactly supported solutions of functional differential equations of special type are considered. The existence theorem, conclusion about additivity of the function inside the carrier, the probability sense, and the algorithm of calculation of the moments of compactly supported functions are presented.

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Authors and Affiliations

  1. Institute for Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine

    V. M. Kolodyazhnyi

  2. N. E. Zhukovskii National Aerospace University “Kharkov Aircraft Institute”, Kharkov, Ukraine

    V. A. Rvachev

Authors
  1. V. M. Kolodyazhnyi
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  2. V. A. Rvachev
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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 118–130, November–December 2004.

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Kolodyazhnyi, V.M., Rvachev, V.A. Atomic functions of three variables invariant with respect to a rotation group. Cybern Syst Anal 40, 889–898 (2004). https://doi.org/10.1007/s10559-005-0028-5

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  • DOI: https://doi.org/10.1007/s10559-005-0028-5

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