Studia Mathematica · 2003 · 11 citations · 8 references
We characterize all Fréchet quotients of the space ${\scr A} ({\mit \Omega })$ of (complex-valued) real-analytic functions on an arbitrary open set ${\mit \Omega }\subseteq \mathbb R^d$. We also characterize those Fréchet spaces $E$ such that every short
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On Levi's Problem and the Imbedding of Real-Analytic Manifolds
Hans Grauert · Annals of Mathematics · 1958 · 624 citations
Ultradifferentiable functions and Fourier analysis
Rüdiger Braun, Reinhold Meise, B. A. Taylor · Results in Mathematics · 1990 · 296 citations
The space of real-analytic functions has no basis
Paweł Domański, Dietmar Vogt · Studia Mathematica · 2000 · 55 citations · Full text