Factorization of positive functions on the torus: applications to truncated Toeplitz operators

DOI10.1007/s40316-014-0019-xzbMath1320.32011OpenAlexW1997988281MaRDI QIDQ2258231

Abdellatif Seghier, Jean-Marc Rinkel

Publication date: 3 March 2015

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-014-0019-x

zbMATH Keywords

truncated Toeplitz operatorfactorization of positive functions on the torus

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Holomorphic functions of several complex variables (32A99)

Cites Work

• An extension of a result of Szegő on eigenvalues of Toeplitz matrices
• Inversion de la matrice de Toeplitz en d dimensions et développement asymptotique de la trace de l'inverse à l'ordre d. (Inversion of the Toeplitz matrix in d dimensions and asymptotic development of the trace of the inverse of order d)
• Inverses and spectral properties of Toeplitz matrices with singular symbol
• An \(N\)-dimensional analogue of Szegö's limit theorem
• Asymptotic inverse of Toeplitz matrices with symbol \((1-\cos \theta )^\alpha f_1\), \(\frac{-1}{2} <\alpha \leq\frac12\), and integral kernels
• A strong Spitzer-Stone theorem for a Toeplitz matrix with singular symbol defined by a class of analytic functions
• About the generating function of a left bounded integer-valued random variable
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Factorization of positive functions on the torus: applications to truncated Toeplitz operators