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Table of Contents
Some Questions of Hard Analysis
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algebraic analysis analytic variety apply assume Cauchy-Kowalewsky Theorem coefficients common factor compact support complement complex analytic connected component constant continuous convex sequence coordinate Corollary Definition denote differential operator dimension distinguished polynomial domain embedding estimate Euclidean space exist f is real fact finite follows Fourier transform func function defined function f Gevrey classes Hensel's Lemma holds holomorphic function hypothesis induction inequality infinitely differentiable intersection interval of convergence Inverse Function Theorem Lemma Let f logarithmically convex Lojaciewicz's lytic multi-index notation obtain open interval open set open subset origin Paley-Wiener theorem partial differential equations positive integer power series proof Proposition prove Puiseux's Theorem radius of convergence real ana real analytic function real analytic manifold real analytic submanifold real numbers real variables resolution of singularities result satisfies sequence of real series converges smooth subanalytic Suppose symmetric Taylor tempered distribution theory Whitney's zero set