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Edge of the wedge theorem and hyperfunction
On the global existence of real analytic
12 other sections not shown
assume boundary values canonical Cauchy characteristic variety closed set coherent cohomology groups compact set completes the proof complex manifold complex neighborhood condition constant coefficients contact manifold contact transformation convex set coordinate system defining function definition denote distribution dual space exact sequence exists finite order flabby following theorem Fourier function f Hence holds holomorphic functions homogeneous Hormander hyper hyperfunction hyperfunction solutions implies isomorphism Kashiwara Kawai Komatsu Lemma Let f locally Malgrange Martineau Math matrix maximally overdetermined system micro-local microfunctions Module obtain open convex open set operator of order operators of finite overdetermined systems principal symbol proof of Theorem Proposition prove pseudo-differential equations pseudo-differential operator real analytic functions real analytic manifold relative cohomology resp respectively restriction Sato sheaf sheaves singular support space submanifold subset supp Suppose théorème theory of hyperfunctions Tokyo topology unique vanishes vector voisinage wedge theorem zero