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Paper detail

Principal functions for bi-free central limit distributions

We find the principal function of the completely non-normal operator l(v_1)+l(v_1)^*+i(r(v_2)+r(v_2)^*) on a subspace of the full Fock space F(H) which arises from a bi-free central limit distribution. As an application, we find the essential spectrum of this operator.

preprint2015arXivOpen access
Kenneth J. DykemaWonhee Na
math.OA
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Kenneth J. DykemaWonhee Na

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