Homogeneous and nonhomogeneous linear trigonometric moment problem and recursiveness

DOI10.1007/s43034-022-00250-0OpenAlexW4316193166MaRDI QIDQ2111541

Bouazza El Wahbi, Mustapha Rachidi, Mohammed Mouniane

Publication date: 17 January 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00250-0

zbMATH Keywords

Toeplitz matrixrecurrence relationsunitary operatorlinear trigonometric moment problem

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

• The classical moment problem as a self-adjoint finite difference operator
• The quadratic moment problem for the unit circle and unit disk
• The methods of Vorobyev and Lanczos
• Perturbative−variational approximations to the spectral properties of semibounded Hilbert space operators, based on the moment problem with finite or diverging moments. Application to quantum mechanical systems
• Solution of the truncated complex moment problem for flat data
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