The role of restriction theorems in harmonic analysis on harmonic \(NA\) groups

DOI10.1016/j.jfa.2010.01.001zbMath1206.43008OpenAlexW2082747487MaRDI QIDQ2269689

Swagato K. Ray, Rudra P. Sarkar, Pratyoosh Kumar

Publication date: 17 March 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.01.001

zbMATH Keywords

moduli of continuityKunze-Stein phenomenonspherical meanharmonic NA groups

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (9)

Eigenfunctions of the Laplace-Beltrami operator on harmonic \(NA\) groups ⋮ A characterization of the \(L^{2}\)-range of the Poisson transform related to Strichartz conjecture on symmetric spaces of noncompact type ⋮ A note on \(K\)-functional, modulus of smoothness, Jackson theorem and Bernstein-Nikolskii-Stechkin inequality on Damek-Ricci spaces ⋮ Unnamed Item ⋮ A characterization of weak \(L^p\)-eigenfunctions of the Laplacian on homogeneous trees ⋮ Chaotic dynamics of the heat semigroup on the Damek-Ricci spaces ⋮ Lipschitz conditions in Damek-Ricci spaces ⋮ Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator ⋮ Fourier restriction theorem and characterization of weak \(L^2\) eigenfunctions of the Laplace-Beltrami operator

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