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A Bochner-Martinelli-Koppelman type integral formula on submanifolds of pseudoconvex domains in C is derived; the result gives, in particular, integral formulas on Stein manifolds.
We give a proof of an integral formula of Berndtsson which is related to the inversion of Fourier-Laplace transforms of -closed -forms in the complement of a compact convex set in .
In this paper we will prove a Mittag-Leffler type theorem for -closed -forms in by addressing the question of constructing such differential forms with prescribed periods in certain domains.
In this note we construct -equations (inhomogeneous Cauchy-Riemann equations) without solutions. The construction involves Bochner-Martinelli type kernels and differentiation with respect to certain parameters in appropriate directions.
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