# Complex Analysis and Operator Theory

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 115-126

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 61-84

*On the free convolution with a semicircular distribution*, Biane found very useful characterizations of the boundary values of the imaginary part of the Cauchy–Stieltjes transform of the free additive convolution of a probability measure on $$\mathbb {R}$$ R with a Wigner (semicircular) distribution. Biane’s methods were recently extended by Huang (Int Math Res Not 12:4269–4292,...

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 1-44

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 291-320

*v*is established. The first step is a reduction to the problem on the single edge $$e_0$$ e 0 but with an energy depending boundary condition at

*v*. In the...

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 193-221

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 241-255

*moment infinitely divisible*(MID) if, for every $$t > 0$$ t > 0 , the shift with weight sequence $$\alpha ^t: \alpha _0^t, \alpha _1^t, \ldots $$ α t : α 0 t , α 1 t , … is subnormal. Assume that $$W_{\alpha }$$...

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 151-192

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 275-289

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 257-274

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 85-113

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 45-59

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 127-139

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 223-239

Complex Analysis and Operator Theory > 2019 > 13 > 1 > 141-150