Paley-Wiener and Boas Theorems for the Quaternion Fourier Transform |
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Authors: | Yingxiong Fu Luoqing Li |
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Affiliation: | 1. Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Computer Science, Hubei University, Hubei, 430062, China
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Abstract: | This paper establishes a real Paley-Wiener theorem to characterize the quaternion-valued functions whose quaternion Fourier transform has compact support by the partial derivative and also a Boas theorem to describe the quaternion Fourier transform of these functions that vanish on a neighborhood of the origin by an integral operator. |
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