Perturbation of orthonormal bases in \(L^2\)-spaces

DOI10.1007/BF01202101zbMath0985.42017OpenAlexW2056680274MaRDI QIDQ5953397

Xionghui He, Eric S. Key, Hans W. Volkmer

Publication date: 16 May 2002

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

Full work available at URL: https://doi.org/10.1007/bf01202101

zbMATH Keywords

perturbationRiesz basesSturm-Liouville differential operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Cites Work

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• Perturbation of operators and applications to frame theory
• On the stability of frames and Riesz bases
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I