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On the product formulas for C-semigroups
Authors:Miao Li  Quan Zheng
Affiliation:(1) Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People’s Republic of China;(2) Department of Mathematics, Huazhnog University of Science and Technology, Wuhan, 430074, People’s Republic of China
Abstract:
In this paper we obtain a Chernoff-type approximation theorem for C-semigroups, from which we derive the Trotter product formula and the Post-Widder inversion formula for C-semigroups. The first author was supported by the NSF of China (Grant No. 10501032) and the NSFC-RFBR Programm (Grant No. 108011120015), and the second author by the NSF of China (Grant No. 10671079).
Keywords:C-semigroups  Chernoff product formula
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