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 $\beta$-semigroup for $\beta >0$, which unifies and extends the classical Poisson (for $\beta =1$) and heat (for $\beta =2$) semigroups within the Dunkl analysis frame…