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• W4383375650 abstract "In this paper, we present a novel integral transform known as the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT). We first define the one-dimensional quaternion quadratic-phase Fourier transform (1D-QQPFT) of integrable (and square integrable) functions on R. Later on, we show that 1D-QQPFT satisfies all the respective properties such as inversion formula, linearity, Moyal’s formula, convolution theorem, correlation theorem and uncertainty principle. Moreover, we use the proposed transform to obtain an inversion formula for two-dimensional quaternion quadratic-phase Fourier transform. Finally, we highlight our paper with some possible applications." @default.
• W4383375650 created "2023-07-07" @default.
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• W4383375650 date "2023-07-05" @default.
• W4383375650 modified "2023-09-29" @default.
• W4383375650 title "Convolution, Correlation and Uncertainty Principle in the One-Dimensional Quaternion Quadratic-Phase Fourier Transform Domain" @default.
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• W4383375650 doi "https://doi.org/10.3390/math11133002" @default.
• W4383375650 hasPublicationYear "2023" @default.
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