Complex Analysis on Locally Convex Spaces

By S. Dineen. 2012

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Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem (2013, background): “2], it follows that the map b 7→ wb is Gâteaux analytic, and, by its - global, not only local - boundedness on bounded domains in H(B) + i ε 21 for any ε > 0, it is Fréchet analytic - see [15].”
Algebras of Symmetric Holomorphic Functions on lp (2003, background): “Actually, for every f ∈ Aus(B`p ), its Taylor polynomials are easily seen to be symmetric, using the fact that each such polynomial can be calculated by integrating f (see, for example, [3]).”