Heat and Poisson semigroups for Fourier-Neumann expansions

J. J. Betancor, O. Ciaurri, T. Martínez +3

Given $\alpha >-1$, consider the second order differential operator in $(0,\infty )$, $$L_{\alpha }f\equiv (x^2\frac{d^2}{d{x}^2}+(2\alpha +3)x\frac{d}{dx}+x^2+(\alpha +1{)}^2)(f),$$ which appears in…