# Article

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Keywords:
envelope of holomorphy; integral formula; index; null-convexity; complex null cone; Lipschitz boundary
Summary:
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.
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