关于算子半群的一个一般概率表示公式(英文)

On a General Probabilistic Representation Formula for Semigroups of Operators

中文摘要:

      

英文摘要:

      In this paper we present a general probabilistic representation theorem for semigroups of operators which essentially comprises almost all known representation theorems of this kind. Especially, so-called first and second main theorems turn out to be special cases of the same general formula. The general theorem also permits the calculation of rates of convergence involving the second modulus of continuity.