A quantitative maximum entropy theorem for the real line

DOI10.1007/BF01196118zbMath0637.94003MaRDI QIDQ1099127

John J. Benedetto

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

harmonic analysisBurg's maximum entropy theorementropy integrals on the real line

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Measures of information, entropy (94A17)

Cites Work

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• Hilbert spaces of analytic functions, inverse scattering and operator models. II
• Extensions of matrix valued functions with rational polynomial inverses
• On an extension problem, generalized Fourier analysis, and an entropy formula
• Problem of search of the minimum of entropy in indeterminate extension problems
• Restrictions of Fourier transforms and extension of Fourier sequences
• The extension problem for positive-definite functions
• Maximum entropy and the moment problem
• Approximations and Representations for Fourier Transforms

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