In this paper we construct a Cauchy integral for the distributions in 𝒮′, the tempered distributions, and obtain various properties concerning this Cauchy integral. Our main goal is to show that the ...
Consider the ℬ-valued probability space (𝒜,E,ℬ), where 𝒜 is a tracial von Neumann algebra. We extend the theory of operator-valued free probability to the algebra of affiliated operators 𝒜̃. For a ...
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