Direct and inverse approximation theorems for functions defined in Damek-Ricci spaces

DOI10.1007/S11253-024-02387-8MaRDI QIDQ6656350

S. El Ouadih

Publication date: 2 January 2025

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Global differential geometry (53Cxx) Lie groups (22Exx) Approximations and expansions (41-XX) Abstract harmonic analysis (43Axx)

Cites Work

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• Growth properties of Fourier transforms via moduli of continuity
• Harmonic analysis on solvable extensions of H-type groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Approximation of functions by the Fourier-Bessel sums
• The role of restriction theorems in harmonic analysis on harmonic \(NA\) groups
• Approximation of functions of several variables by linear methods in the space Sp
• A Paley-Wiener theorem on NA harmonic spaces
• The Helgason Fourier transform on a class of nonsymmetric harmonic spaces
• Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp
• Fourier and Radon transform on harmonic 𝑁𝐴 groups

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