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- W160904144 abstract "We prove existence of C∞-solutions u of equations Du = f, when D is a finite-difference linear partial differential operator with constant coefficients and f is a C∞-function defined on a locally convex space, which extends a classical result of Ehrenpreis in the finite dimensional case. The main difficulty in this extension came from the Paley-Wiener-Schwartz theorem in infinite dimension. We also obtain new results for some convolution equations in H(E) when E is a complex space." @default.
- W160904144 created "2016-06-24" @default.
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- W160904144 date "1982-01-01" @default.
- W160904144 modified "2023-10-01" @default.
- W160904144 title "Finite-Difference Partial Differential Equations in Normed and Locally Convex Spaces" @default.
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- W160904144 doi "https://doi.org/10.1016/s0304-0208(08)72535-0" @default.
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