Geodesic
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 479-494 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in $\bold C^n$ are studied. First, geometric description of envelopes of holomorphy over domains in $\bold E^n$ is given. In more general case, solutions can be continued by integral formulas using values on a real $n-1$ dimensional cycle in $\bold C^n$. Sufficient conditions for this being possible are formulated.
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in $\bold C^n$ are studied. First, geometric description of envelopes of holomorphy over domains in $\bold E^n$ is given. In more general case, solutions can be continued by integral formulas using values on a real $n-1$ dimensional cycle in $\bold C^n$. Sufficient conditions for this being possible are formulated.
Classification : 15A66, 30G35, 32D10, 35B60, 35J05, 35Q40
Keywords: envelope of holomorphy; integral formula; index; null-convexity; complex null cone; Lipschitz boundary 
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Kolář, Martin. Envelopes of holomorphy for solutions of the Laplace and Dirac equations. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 3, pp. 479-494. http://geodesic.mathdoc.fr/item/CMUC_1991_32_3_a9/

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