Wavelet transform and radon transform on the quaternion Heisenberg group
نویسندگان
چکیده
منابع مشابه
Two-dimensional quaternion wavelet transform
In this paper we introduce the continuous quaternion wavelet transform (CQWT). We express the admissibility condition in terms of the (right-sided) quaternion Fourier transform. We show that its fundamental properties, such as inner product, norm relation, and inversion formula, can be established whenever the quaternion wavelets satisfy a particular admissibility condition. We present several ...
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The quaternion Fourier transform (QFT), which is a nontrivial generalization of the real and complex Fourier transform (FT) using quaternion algebra has been of interest to researchers for some years (see e.g. [3, 5]). It was found that many FT properties still hold but others have to be modified. Based on the (right-sided) QFT, one can extend the classical wavelet transform (WT) to quaternion ...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2014
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-014-2361-y