Displaying similar documents to “On the hyper-order of analytic solutions of linear differential equations near a finite singular point”

Remark on computing the analytic SVD

Janovská, Dáša, Janovský, Vladimír

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A new technique for computing analytic SVD is proposed. The idea is to follow branches for just one selected singular value and the corresponding left/right singular vector.

Characterization of surjective partial differential operators on spaces of real analytic functions

Michael Langenbruch (2004)

Studia Mathematica

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Let A(Ω) denote the real analytic functions defined on an open set Ω ⊂ ℝⁿ. We show that a partial differential operator P(D) with constant coefficients is surjective on A(Ω) if and only if for any relatively compact open ω ⊂ Ω, P(D) admits (shifted) hyperfunction elementary solutions on Ω which are real analytic on ω (and if the equation P(D)f = g, g ∈ A(Ω), may be solved on ω). The latter condition is redundant if the elementary solutions are defined on conv(Ω). This extends and improves...