Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FOURIER TRANSFORMATION OF REGULAR FUNCTIONS WITH VALUES IN GENERALIZED QUATERNIONS

  • Ji Eun Kim (Department of Mathematics, Dongguk University)
  • Published : 20180300

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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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