Abstract
It is classically well known as Bochner's tube theorem that any holomorphic function defined on a tube domain T in a complex affine space has analytic continuation on the convex full of T [H, Theorem 2.5.10]. Now let M be a real analytic manifold, X its complexification. Let TM X be the normal bundle of M in X, VM the functor of specialization along M, and let J?M denote the sheaf H°vM(&x} on TMX. In [SKK, Chap.I], in connection with the theory of microfunctions, a proof is given to the following local version of Bochner's tube theorem :
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