Constrained approximation and interpolation in Hilbert function spaces

DOI10.1006/JMAA.1999.6358zbMath0961.41025OpenAlexW1999653197WikidataQ56319453 ScholiaQ56319453MaRDI QIDQ1301873

Juliette Leblond, Jonathan R. Partington

Publication date: 30 January 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6358

zbMATH Keywords

controlled approximationoptimization problems in Hilbert function spaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation with constraints (41A29)

Related Items (8)

Constrained approximation and invariant subspaces ⋮ Unbounded symmetrizable idempotents ⋮ Constrained L2-Approximation by Polynomials on Subsets of the Circle ⋮ On Some Extremal Problems for Analytic Functions with Constraints on Real or Imaginary Parts ⋮ Bounded extremal and Cauchy-Laplace problems on the sphere and shell ⋮ Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains ⋮ Constrained extremal problems in $H^2$ and Carleman's formulae ⋮ A constrained approximation problem arising in parameter identification

Cites Work

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• Traces of Hardy functions and reproducing kernel Hilbert spaces
• Hardy approximation to \(L^ \infty\) functions on subsets of the circle
• On the Boundedness and Continuity of the Spectral Factorization Mapping
• Ten Lectures on Wavelets
• How can the meromorphic approximation help to solve some 2D inverse problems for the Laplacian?
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