Principal functions for bi-free central limit distributions
classification
🧮 math.OA
keywords
bi-freecentralfindlimitoperatorprincipalapplicationarises
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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.
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