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?