The heat semigroup associated with the Jacobi–Cherednik operator and its applications

A Poria, R Radha - Applicable Analysis, 2024 - Taylor & Francis
In this paper, we study the heat equation associated with the Jacobi–Cherednik operator on
the real line. We establish some basic properties of the Jacobi–Cherednik heat kernel and …

Time-frequency analysis for the multidimensional Gabor Transform

A Chana, A Akhlidj - ANNALI DELL'UNIVERSITA'DI FERRARA, 2025 - Springer
The main crux of this paper is to introduce a new integral transform called the
multidimensional Hankel–Gabor transform and to give some new results related to this …

Time-frequency analysis associated with multidimensional Hankel-Gabor transform

A Chana, A Akhlidj, N Nafie - Journal of Pseudo-Differential Operators and …, 2024 - Springer
The main crux of this paper is to introduce a new integral transform called the
multidimensional Hankel-Gabor transform which generalizes the classical Gabor Fourier …

Qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces

SS Mondal, A Poria - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
The aim of this paper is to establish a few qualitative uncertainty principles for the windowed
Opdam–Cherednik transform on weighted modulation spaces associated with this transform …

Uncertainty Principles and Calderón's Formula for the Multidimensional Hankel-Gabor Transform

A Chana, A Akhlidj - Pan-American Journal of Mathematics, 2024 - mathyze.com
The main crux of this paper is to introduce a new integral transform called the
multidimensional Hankel-Gabor transform and to give some new results related to this …