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The aim of this paper is to study the Linear canonical Fourier-Jacobi wavelet transform and to investigate some basic properties. Specifically, we define the Linear canonical Jacobi translation, the Linear canonical Jacobi convolution and the Linear canonical Fourier-Jacobi wavelet transform. An inversion formula and Parseval relation for the continuous Linear canonical Fourier-Jacobi wavelet transform are also obtained.
Nabiha Ben Abdallah (Wed,) studied this question.
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