An analogue of Szego's limit theorem in free probability theory

2007/06/06 by Junhao Shen, Shen, Junhao
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.0706.0750

arxiv created 2007/08/07 · arxiv updated 2009/12/01

Abstract

In the paper, we discuss orthogonal polynomials in free probability theory. Especially, we prove an analogue of of Szego's limit theorem in free probability theory.

Related

• Szegö's Theorem and its Probabilistic Descendants
• Limit Theorems in Free Probability Theory I
• Szego Theorem for Operator Orthogonal Polynomials
• Free versions of the strong Szegő limit theorem
• Methods of free probability