Uniformly bounded families of Riesz bases of exponentials, sines, and cosines

DOI10.1134/S0001434610030296zbMath1208.46013MaRDI QIDQ1957084

Rostyslav O. Hryniv

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riemann functionseparable Hilbert spaceHilbert transformationHadamard canonical productRiesz bases of cosinesRiesz bases of exponentialsRiesz bases of sines

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (4)

Uniform basis property of root vector systems of Dirac operators ⋮ Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces ⋮ The Dirac operator with complex-valued summable potential ⋮ Analyticity and uniform stability in the inverse spectral problem for Dirac operators

Cites Work

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• Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
• On Perturbing Bases of Complex Exponentials in L 2 (-π, π)
• Riesz bases of solutions of Sturm-Liouville equations

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