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- W1970402020 abstract "In this paper we shall give an algebraic characterization of differential-difference operators, i.e. a characterization of those continuous linear operators from D(Rn) into L2(Rn) which can be constructed by combining partial differential operators, multiplications by locally L functions, and translation operators. The domain and range of theoperator are relatively unimportant, since we are mainly interested in the form of the operator. But, for convenience, in this paper the symbols D or A will always denote continuous linear operators from D(Rn) into L2(Rn). For each b in Rn, define the operator T(b, D) to be e-i'xDeibx, where eibz and e-ibz denote the operators of multiplication by the exponential functions eibz and e-ibx respectively. Define T(D) to be the" @default.
- W1970402020 created "2016-06-24" @default.
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- W1970402020 date "1967-01-01" @default.
- W1970402020 modified "2023-09-24" @default.
- W1970402020 title "A characterization of differential operators" @default.
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- W1970402020 doi "https://doi.org/10.1090/s0002-9939-1967-0205112-4" @default.
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