A generalization of Pincus' formula and Toeplitz operator determinants

DOI10.1007/s00013-003-0470-4zbMath1042.47013OpenAlexW81340410MaRDI QIDQ1401617

Torsten Ehrhardt

Publication date: 18 August 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-003-0470-4

zbMATH Keywords

Toeplitz operatoroperator determinantsPincus\ formulaSzegö-Widom limit theorem

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

Functional calculus and joint torsion of pairs of almost commuting operators ⋮ On global fluctuations for non-colliding processes ⋮ Asymptotics of block Toeplitz determinants and the classical dimer model ⋮ Harold Widom’s work in Toeplitz operators ⋮ Szegő via Jacobi ⋮ Perturbed Toeplitz operators and radial determinantal processes ⋮ Harold Widom's contributions to the spectral theory and asymptotics of Toeplitz operators and matrices ⋮ Central limit theorems for biorthogonal ensembles and asymptotics of recurrence coefficients ⋮ Traces of Commutators of Integral Operators – the Aftermath ⋮ Relative Szegő Asymptotics for Toeplitz Determinants ⋮ Universality of mesoscopic fluctuations for orthogonal polynomial ensembles

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