Riesz basis, Paley-Wiener class and tempered splines

DOI10.1007/BF02898242zbMath1014.42006OpenAlexW1583017825MaRDI QIDQ1609553

Jingfan Long, Gen Sun Fang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02898242

zbMATH Keywords

Riesz basisBernstein inequalityentire functionsPaley-Wiener classMarcinkiewicz-Zygmund inequalitytempered splines

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spline approximation (41A15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

The convergence rates of Shannon sampling learning algorithms

Cites Work

• The recovery of irregularly sampled band limited functions via tempered splines
• Notes on spline functions. IV: A cardinal spline analogue of the theorem of the brothers Markov
• On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)
• The asymptotic connection between approximation by cardinal splines and entire functions of exponential type
• Approximating properties of entire functions of exponential type
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