Two-Sided Clifford Wavelet Function in Cl(pq)

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Mathematics and Computation (IACMC 2022)

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Abstract

Two-sided Clifford wavelet function (CWF) is defined in \(Cl_{(p,q)}\) with orthonormal vector basis. The properties like left linearity, right linearity, shifting, modulation dilations and power factor are established. The inversion formula for CWF is also constructed using Fourier transform. Parseval and Plancherel identities are also studied. The study is supported by certain examples related to Mathematical Physics.

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Correspondence to V. R. Lakshmi Gorty .

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Ansari, S.J., Lakshmi Gorty, V.R. (2023). Two-Sided Clifford Wavelet Function in Cl(pq). In: Zeidan, D., Cortés, J.C., Burqan, A., Qazza, A., Merker, J., Gharib, G. (eds) Mathematics and Computation. IACMC 2022. Springer Proceedings in Mathematics & Statistics, vol 418. Springer, Singapore. https://doi.org/10.1007/978-981-99-0447-1_25

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