Abstract
In this paper, we introduce the fractional wavelet transformations (FrWT) involving Hankel–Clifford integral transformation (HClIT) on the positive half line and studied some of its basic properties. Also we obtain Parseval’s relation and an inversion formula. Examples of fractional powers of Hankel–Clifford integral transformation (FrHClIT) and FrWT are given. Then, we introduce the concept of fractional wavelet packet transformations FrBWPT and FrWPIT, and investigate their properties.
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Supported by Govt. of India, Ministry of Science & Technology, DST (Grant No. DST/INSPIRE FELLOWSHIP/ 2012/479)
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Prasad, A., Kumar, S. Fractional wavelet packet transformations involving Hankel–Clifford integral transformations. Acta. Math. Sin.-English Ser. 32, 783–796 (2016). https://doi.org/10.1007/s10114-016-5523-2
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DOI: https://doi.org/10.1007/s10114-016-5523-2
Keywords
- Wavelet packet transformation
- fractional Hankel–Clifford integral transformation
- fractional Hankel–Clifford integral convolution
- wavelet