Calderon-reproducing formula for singular partial differential operators

DOI10.1080/10652469.2014.888807zbMath1292.42014OpenAlexW2080029256MaRDI QIDQ5168440

Besma Amri, Lakhdar Tannech Rachdi

Publication date: 4 July 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.888807

zbMATH Keywords

Fourier transformconvolution productCalderon's reproducing formulatranslation operatorsingular partial differential operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Convolution, factorization for one variable harmonic analysis (42A85) Harmonic analysis and PDEs (42B37)

Related Items (7)

Square-like functions generated by the Laplace-Bessel differential operator ⋮ The Wigner transformation associated with the Hankel multidimensional operator ⋮ The Gaussian convolution and reproducing kernels associated with the Hankel multidimensional operator ⋮ 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 ⋮ Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator

Cites Work

• Unnamed Item
• On the range of the Fourier transform connected with Riemann-Liouville operator
• Calderón's reproducing formula associated with the Bessel operator
• Calderón's reproducing formula and singular integral operators on a real line
• Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators

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