Split quaternion Fourier transforms for two-dimensional real invariant field

Abstract The article gives the corresponding split quaternions in Clifford analysis and the split Fourier transform (FT). Also, we investigate some properties of the split FT and apply to generalizations of the quaternion FT.

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Publication Details

Journal
Demonstratio Mathematica
Published
2025-01-01
DOI
https://doi.org/10.1515/dema-2025-0151
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Split quaternion Fourier transforms for two-dimensional real invariant field

Ji Eun Kim
Demonstratio Mathematica
Algebraic and Geometric Analysis
article

Split quaternion Fourier transforms for two-dimensional real invariant field

Ji Eun Kim
article en

Abstract

Abstract The article gives the corresponding split quaternions in Clifford analysis and the split Fourier transform (FT). Also, we investigate some properties of the split FT and apply to generalizations of the quaternion FT.

Demonstratio MathematicaVol. 58(1)
Dongguk University (KR)
National Research Foundation, Dongguk University, National Research Foundation of Korea
Openalex Percentile: Top 72%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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Split quaternion Fourier transforms for two-dimensional real invariant field — Ji Eun Kim · Demonstratio Mathematica (2025) | TGRS Research Map | TGRS