FOURIER TRANSFORMATION OF REGULAR FUNCTIONS WITH VALUES IN GENERALIZED QUATERNIONS

Ji Eun Kim

Abstract


We consider general base i_α and j_β which perform the roles of i and j do in quaternions. We give a representation and properties of a Fourier transformation of regular functions with values in generalized quaternions, referring the Fourier transformation using quaternions.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea