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Subjects
32-XX Several complex variables and analytic spaces
32Dxx Analytic continuation
32D99 None of the above, but in this section

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Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of $C^{(} n + 1)$

Ryan, John (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Cauchy-Riemann functions on manifolds of higher codimension in complex space.

M.S. Baouendi, L. Preiss Rothschild (1990)

Inventiones mathematicae

Continuation of holomorphic solutions to convolution equations in complex domains

Ryuichi Ishimura, Jun-ichi Okada, Yasunori Okada (2000)

Annales Polonici Mathematici

For an analytic functional $S$ on $ℂ^{n}$ , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in $ℂ^{n}$ . We determine the directions in which every solution can be continued analytically, by using the characteristic set.

Currently displaying 1 – 3 of 3