Abstract: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.
Keywords: envelope of holomorphy, integral formula, index, null-convexity, complex null cone, Lipschitz boundary
AMS Subject Classification: 32D10, 30G35