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Quaternionic fractional wavelet transform

  • R. Roopkumar
WAVELET ANALYSIS

Abstract

The novel fractional wavelet transform is extended to the space of square integrable quaternion valued functions on \({\mathbb {R}}\) and its properties like linearity, Parseval’s identity and inversion formula are derived.

Keywords

Wavelet transform Fractional Fourier transform Quaternion valued functions 

Mathematics Subject Classification

Primary 42A38; Secondary 46S10 44A15 42C40 

Notes

Acknowledgements

The author thanks the anonymous referee for his/her valuable comments on the presentation of this paper.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsCentral University of Tamil NaduThiruvarurIndia

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