Continued fractions, wavelet time operators, and inverse problems

DOI10.1216/rmjm/1181069972zbMath1059.47002OpenAlexW2091760633MaRDI QIDQ1425672

Karl Gustafson

Publication date: 17 March 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069972

zbMATH Keywords

waveletsinverse problemsspectral theorycontinued fractionstime operators

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Inverse problems for PDEs (35R30) Approximation by rational functions (41A20) Linear operator methods in interpolation, moment and extension problems (47A57) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Continued fractions; complex-analytic aspects (30B70) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Padé-type approximation and general orthogonal polynomials
• The time operator of wavelets
• The strong Hamburger moment problem and self-adjoint operators in Hilbert space
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• Wavelets and stochastic processes
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• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Condition numbers for wavelets and filter banks
• Operator spectral states
• Laurent-Jacobi matrices and the Strong Hamburger Moment Problem
• Asymptotics for orthogonal polynomials
• On a Recurrence Formula Associated with Strong Distributions
• From deterministic dynamics to probabilistic descriptions
• Can One Hear the Shape of a Drum?
• A Class of Nonharmonic Fourier Series
• Limit points of eigenvalues of truncated tridiagonal operators
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