2 papers
math.FA2025
The Fractional Two-Sided Quaternionic Dunkl Transform and Heisenberg-Type Inequalities
Mohamed Essenhajy
This report investigates the main definitions and fundamental properties of the fractional two-sided quaternionic Dunkl transform in two dimensions. We present key results concerni…
math.FA2025
The Two-Sided Clifford Dunkl Transform and Miyachi's Theorem
Mohamed Essenhajy, Said Fahlaoui
Recent advances have extended the Dunkl transform to the setting of Clifford algebras. In particular, the two-sided quaternionic Dunkl transform has been introduced as a Dunkl anal…