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math.OA2011
Noncommutative Plurisubharmonic Polynomials Part II: Local Assumptions
Jeremy M. Greene
We say that a symmetric noncommutative polynomial in the noncommutative free variables (x_1, x_2, ..., x_g) is noncommutative plurisubharmonic on a noncommutative open set if it ha…
math.OA2011
Noncommutative Plurisubharmonic Polynomials Part I: Global Assumptions
Jeremy M. Greene, J. William Helton, Victor Vinnikov
We consider symmetric polynomials, p, in the noncommutative free variables (x_1, x_2, ..., x_g). We define the noncommutative complex hessian of p and we call a noncommutative symm…