Global Holomorphic Functions in Several Noncommuting Variables

نویسندگان

  • Jim Agler
  • John E. McCarthy
چکیده

We define a free holomorphic function to be a function that is locally a bounded nc-function. We prove that free holomorphic functions are the functions that are locally uniformly approximable by free polynomials. We prove a realization formula and an OkaWeil theorem for free analytic functions.

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تاریخ انتشار 2015