Article: Researchers from University of Padua detail new studies and findings in the area of geometry.

"For a function that is defined and continuous on R-n except from a C-1-hypersurface V subset of R-n and that extends as a holomorphic function separately in each complex direction z(j) = x(j) + iy(j) to y(j) > 0, jointly continuous up to R-n/V, we prove simultaneous holomorphic extension to the domain {z = x + iy is an element of Cn : y(j) > 0 for any j} provided that the conormal v = v(x) to V at any x is an element of V satisfies v(j) > 0 (or v(j)

"Our statement has also a local variant and, moreover, applies to functions that are defined, when y(j) = 0 for any j, only on one side of V. There is a great amount of work that has been done on the problem of joint ...

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