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Inversion Formula for the Wavelet Transform Associated with Legendre Transform

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Proceedings of the Sixth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1262))

Abstract

In this paper, we accomplished the concept of convolution of Legendre transform for the study of continuous Legendre wavelet transform. We also presented some discussion on its basic properties such as linearity, shift property, scaling property, symmetry, and parity. Finally, our main goal is to find out the Plancherel and inversion formula for the Continuous Legendre Wavelet Transform (CLWT).

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Correspondence to Jyoti Saikia .

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© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Saikia, J., Pandey, C.P. (2021). Inversion Formula for the Wavelet Transform Associated with Legendre Transform. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_23

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