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Envelopes of holomorphy for solutions of the Laplace and Dirac equations

Martin Kolář (1991)

Commentationes Mathematicae Universitatis Carolinae

Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in 𝐂 n are studied. First, geometric description of envelopes of holomorphy over domains in 𝐄 n is given. In more general case, solutions can be continued by integral formulas using values on a real n - 1 dimensional cycle in 𝐂 n . Sufficient conditions for this being possible are formulated.

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