Uniform estimates for spherical functions on complex semisimple Lie groups

DOI10.1007/s00039-001-8220-xzbMath1007.22016OpenAlexW1982930126WikidataQ115389262 ScholiaQ115389262MaRDI QIDQ5956634

Amos Nevo, Michael G. Cowling

Publication date: 26 March 2003

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-001-8220-x

zbMATH Keywords

spherical functionsergodicityroot systemsCartan decompositionIwasawa decompositionmaximal inequalitiescomplex semisimple Lie groupRiemannian spheressingular differentiationsphere averages

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) General properties and structure of complex Lie groups (22E10)

Related Items (6)

Spherical maximal operator on symmetric spaces of constant curvature ⋮ Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups ⋮ \(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type ⋮ Sato-Tate equidistribution for families of Hecke-Maass forms on \(\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)\) ⋮ Quantitative ergodic theorems and their number-theoretic applications ⋮ Analogs of Wiener's ergodic theorems for semisimple Lie groups. II

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