Quadratic-Phase Dunkl Transform: A New Integral Transform
Published:Dec 26, 2025 15:06
•1 min read
•ArXiv
Analysis
This paper introduces a novel integral transform, the quadratic-phase Dunkl transform, which generalizes several known transforms. The authors establish its fundamental properties, including reversibility, Parseval formula, and a Heisenberg-type uncertainty principle. The work's significance lies in its potential to unify and extend existing transform theories, offering new tools for analysis.
Key Takeaways
Reference
“The paper establishes a new Heisenberg-type uncertainty principle for the quadratic-phase Dunkl transform, which extends the classical uncertainty principle for a large class of integral type transforms.”