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math.FA2019
Automatic real analyticity and a regal proof of a commutative multivariate Löwner theorem
J. E. Pascoe, Ryan Tully-Doyle
We adapt the "royal road" method used to simplify automatic analyticity theorems in noncommutative function theory to several complex variables. We show that certain families of fu…
math.FA2019
The royal road to automatic noncommutative real analyticity, monotonicity, and convexity
J. E. Pascoe, Ryan Tully-Doyle
It was shown classically that matrix monotone and matrix convex functions must be real analytic by Löwner and Kraus respectively. Recently, various analogues have been found in sev…