%0 Journal Article %T Approximation of Stable-dominated Semigroups %A Pawe£¿ Sztonyk %J Mathematics %D 2009 %I arXiv %X We consider Feller semigroups of operators determinated by systems of jumps dominated by the rotation invariant stable L\'evy measure. Using an approximation schema we prove the existence and obtain estimates of corresponding heat kernels. %U http://arxiv.org/abs/0903.5294v3