An extension of Hartogs’ theorem for domains whose boundary is not smooth
David G. Schaeffer · Proceedings of the American Mathematical Society · 1970
In this note we obtain an extension of Hartogs’ theorem on analytic continuation inside a bounded domain in ${C^n}$ which requires no assumption on the smoothness of the boundary. The standard proof of Hartogs’ theorem applies with the minor change of using a Whitney function as the boundary data.