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Compactly supported functions generated by a polyharmonic operator

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Abstract

Atomic functions of two and three variables are proposed that are infinitely differentiable compactly supported solutions of functional-differential equations of a special type. Existence theorems and computational procedures are presented for these functions.

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Authors and Affiliations

  1. A. N. Podgornyi Institute of Problems of Mechanical Engineering of NASU, Kharkov, Ukraine

    V. M. Kolodyazhny

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  1. V. M. Kolodyazhny
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 141–156, September–October 2006.

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Kolodyazhny, V.M. Compactly supported functions generated by a polyharmonic operator. Cybern Syst Anal 42, 730–742 (2006). https://doi.org/10.1007/s10559-006-0112-5

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  • DOI: https://doi.org/10.1007/s10559-006-0112-5

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