Tikhonov regularisation for the Weierstrass transform associated with the Kontorovich–Lebedev transform

DOI10.1080/17476933.2022.2038584zbMath1528.44001OpenAlexW4214759244MaRDI QIDQ6170465

Anis Kroumi, Moncef Dziri

Publication date: 12 July 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2022.2038584

zbMATH Keywords

best approximationreproducing kernelKontorovich-Lebedev transformextremal functionMacdonald functionWeierstrass transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10) Rate of convergence, degree of approximation (41A25)

Cites Work

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• The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform
• A convolution connected with the Kontorovich-Lebedev transform
• Two versions of pseudo-differential operators involving the Kontorovich-Lebedev transform in \(L^{2}(\mathbb{R}_{+};\frac{dx}{x})\)
• Integral transforms of the Kontorovich-Lebedev convolution type
• The weierstrass transform and an isometry in the heat equation
• On a progress in the Kontorovich–Lebedev transform theory and related integral operators
• Kontorovich–Lebedev transform for Boehmians
• The Kontorovich–Lebedev transformation on distributions of compact support and its inversion
• Approximate real inversion formulas of the gaussian convolution
• Approximate and analytical inversion formulas in heat conduction on multidimensional spaces

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