Characterization of bi-parametric potentials and rate of convergence of truncated hypersingular integrals in the Dunkl setting

Sandeep Kumar Verma, Athulya P

In this work, we introduce the ${\hat{I}}^2$-semigroup for ${\hat{I}}^2>0$, which unifies and extends the classical Poisson (for ${\hat{I}}^2=1$) and heat (for ${\hat{I}}^2=2$) semigroups within the Dunkl analysis f…