On the product formulas for C-semigroups |
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Authors: | Miao Li Quan Zheng |
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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 |
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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). |
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Keywords: | C-semigroups Chernoff product formula |
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