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.
Abdelaali Dades (Wed,) studied this question.