CONVOLUTION THEOREM AND AN ALTERNATIVE TO
THE OCTONIONIC FOURIER TRANSFORM DEFINITION
C.A.P. Martinez1, D.B. Costa2, A.L.M. Martinez3
1,2,3DAMAT, Federal Technological University of Paraná
CEP: 86300-000, Cornélio Procópio, PR, BRASIL

Abstract

In this paper we present a construction of the Octonionic Fourier Series and we introduce a version for the Octonionic Fourier Transform with hypercomplex exponentials, besides we discuss a possible way of defining the convolution product for octonionic functions and also theoretical results. Through some examples, we illustrate the developed concepts for the octonionic transform and the convolution product.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 3
Year: 2018

DOI: 10.12732/ijam.v31i3.7

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