The Journal of the Indian Mathematical Society

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Hartogs' Theorem in Complex Spaces with Singularities


Affiliations
1 Princeton University, Princeton, New Jersey, United States
2 Massachusetts Institute of Technology, Cambridge, Massachusetts, United States
     

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Hartogs [3] has proved the following theorem distinctive of analytic functions in several complex variables.

Theorem A. If a function is defined in a domain of E2k, and if it is analytic in each variable separately, then it is analytic in all variables.


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  • Hartogs' Theorem in Complex Spaces with Singularities

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Authors

S. Bochner
Princeton University, Princeton, New Jersey, United States
W. T. Martin
Massachusetts Institute of Technology, Cambridge, Massachusetts, United States

Abstract


Hartogs [3] has proved the following theorem distinctive of analytic functions in several complex variables.

Theorem A. If a function is defined in a domain of E2k, and if it is analytic in each variable separately, then it is analytic in all variables.