The windowed Linear Canonical Fourier-Jacobi Transform and The Related Uncertainty Principles

Abdelaali Dades

Abstract


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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