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I'm looking for a book treating the theory of multivariate complex analysis. In particular I need to understand analyticity with respect to more than one variable.

Important questions that I would like to understand more include:

  • Is a function that is analytic in every variable equal to its Taylor series like in the univariate case?
  • Does there exist a inner-outer factorization with uniqueness results similar to the univariate case?

Do you know references on this field?

Bowei Tang
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NYG
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