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Nonclassical convolutions and their uses

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Abstract

A survey of three types of convolutions, depending on arbitrary linear functionals is made. They are convolutions for right inverse operators of the differentiation operator, the Euler operator and the square of the differentiation operator. Three lines of applications of these convolutions are outlined: characterizing their multipliers, the commutants and direct construction of operational calculi.

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Authors and Affiliations

  1. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, ”Acad. G. Bontchev” Str., Block 8, Sofia, 1113, Bulgaria

    Ivan H. Dimovski

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  1. Ivan H. Dimovski
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Correspondence to Ivan H. Dimovski.

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Dimovski, I.H. Nonclassical convolutions and their uses. Fract Calc Appl Anal 17, 936–944 (2014). https://doi.org/10.2478/s13540-014-0207-z

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  • DOI: https://doi.org/10.2478/s13540-014-0207-z

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