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|Type:||Artigo de periódico|
|Title:||Finite-difference Partial Differential Equations In Normed And Locally Convex Spaces|
|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. © 1982 North-Holland Publishing Company.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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