Best approximation for Weierstrass transform connected with Riemann-Liouville operator

zbMath1163.44002MaRDI QIDQ1014160

Cyrine Baccar, Lakhdar Tannech Rachdi, Nadia Ben Hamadi

Publication date: 24 April 2009

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

best approximationreproducing kernelextremal functionRiemann-Liouville operatorWeierstrass transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (11)

An \(L^p\)-\(L^q\) version of Miyachi's theorem for the Riemann-Liouville operator ⋮ Beckner logarithmic uncertainty principle for the Stockwell transform associated with the singular partial differential operators ⋮ A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ On generalized Hardy spaces associated with singular partial differential operators ⋮ Calderón's reproducing formulas and extremal functions for the Riemann-Liouville \(L^2\)-multiplier operators ⋮ Uncertainty principles and time frequency analysis related to the Riemann-Liouville operator ⋮ The windowed Fourier transform and Gabor multipliers associated with the Riemann-Liouvlle transform ⋮ The Hardy-Littlewood operator associated with the Riemann-Liouville transform ⋮ Uncertainty principle in terms of entropy for the Riemann-Liouville operator ⋮ Localization operators of the wavelet transform associated to the Riemann–Liouville operator ⋮ Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator

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