This work introduces the windowed linear canonical Fourier-Jacobi transform, revealing its properties and uncertainty principles.
The main objective of this work is to introduce the windowed linear canonical Fourier-Jacobi transform and to study its properties. In particular, Parseval and inversion formulas are given and proved for this transform. Heisenberg uncertainty inequalities for the LCFJ-transform and the windowed LCFJ-transform are proved. The Donoho-Stark and Lieb uncertainty principles are also discussed and established for the proposed integral transform.
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Abdelaali Dades (2025) studied this question.
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