Principal Functions for Bi-free Central Limit Distributions Academic Article

abstract

• 2016, Springer International Publishing. We find the principal function of the completely non-normal operator l(v1)+l(v1)*+i(r(v2)+r(v2)*) 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.

authors

• Dykema, Kenneth

published proceedings

• INTEGRAL EQUATIONS AND OPERATOR THEORY

author list (cited authors)

• Dykema, K. J., & Na, W.

citation count

• 0

complete list of authors

• Dykema, Kenneth J||Na, Wonhee

publication date

• May 2016

publisher

• Springer Nature  Publisher

published in

• Integral Equations and Operator Theory  Journal

keywords

• Bi-free Central Limit Distribution
• Bi-freeness
• Principal Function

Digital Object Identifier (DOI)

• 10.1007/s00020-015-2278-6

start page

• 91

end page

• 108

volume

• 85

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.1007%2Fs00020-015-2278-6