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Summable solutions of some partial differential equations and generalised integral means
Published 9 Feb 2015 in math.AP and math.CV | (1502.02462v2)
Abstract: We describe partial differential operators for which we can construct generalised integral means satisfying Pizzetti-type formulas. Using these formulas we give a new characterisation of summability of formal power series solutions to some multidimensional partial differential equations in terms of holomorphic properties of generalised integral means of the Cauchy data.
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