@article{Elst_Prado_2002, title={Gaussian bounds for reduced heat kernels of subelliptic operators on nilpotent Lie groups}, volume={90}, url={https://www.mscand.dk/article/view/14373}, DOI={10.7146/math.scand.a-14373}, abstractNote={We obtain Gaussian estimates for the kernels of the semigroups generated by a class of subelliptic operators $H$ acting on $L_p(\boldsymbol R^k)$. The class includes anharmonic oscillators and Schrödinger operators with external magnetic fields. The estimates imply an $H_\infty$-functional calculus for the operator $H$ on $L_p$ with $p \in \langle 1,\infty\rangle$ and in many cases the spectral $p$-independence. Moreover, we show for a subclass of operators satisfying a homogeneity property that the Riesz transforms of all orders are bounded.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Elst, A. F. M. Ter and Prado, Humberto}, year={2002}, month={Jun.}, pages={251–266} }