Analytical and numerical applications for the Fourier multiplier operators on ℝn× (0, ∞)

DOI10.1080/00036811.2014.937432zbMath1319.42008OpenAlexW1988254752WikidataQ58128873 ScholiaQ58128873MaRDI QIDQ5264230

Fethi Soltani, Akram Nemri

Publication date: 24 July 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.937432

zbMATH Keywords

numerical experimentsTikhonov regularizationapproximate formulasFourier multiplier operatorsHeisenberg-Pauli-Weyl uncertainty principleconcentration uncertainty principleGauss-Kronrod method

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15) Numerical methods in Fourier analysis (65T99)

Related Items (2)

Analytical approximation formulas in quantum calculus ⋮ uncertainty principles for the Fourier transform with numerical aspect

Cites Work

• Some results on Tchebycheffian spline functions and stochastic processes
• Best approximation, Tikhonov regularization and reproducing kernels
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Uncertainty Principles and Signal Recovery
• The weierstrass transform and an isometry in the heat equation
• A Note on Entropy
• Inequalities and local uncertainty principles
• Approximate real inversion formulas of the gaussian convolution
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces
• Operators and Tikhonov regularization on the Fock space
• Inversion formulas in the Dunkl-type heat conduction on
• Analytical and numerical inversion formulas in the Gaussian convolution by using the Paley–Wiener spaces

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