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Division problem for spatially periodic distributions

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arxiv 1305.6134 v2 pith:XX52OCPE submitted 2013-05-27 math.AP math.FAmath.OC

Division problem for spatially periodic distributions

classification math.AP math.FAmath.OC
keywords directiondirectionsdistributionsperiodictimeclasscoefficientscondition
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We give a sufficient condition for the surjectivity of partial differential operators with constant coefficients on a class of distributions on R^{n+1} (here we think of there being n space directions and one time direction), that are periodic in the spatial directions and tempered in the time direction.

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