Gelfand transforms of \(\mathrm{SO}(3)\)-invariant Schwartz functions on the free group \(N_{3,2}\)

DOI10.5802/aif.2486zbMath1187.43007arXiv0809.1952OpenAlexW2963057591MaRDI QIDQ848118

Fulvio Ricci, Veronique Fischer

Publication date: 22 February 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1952

zbMATH Keywords

nilpotent Lie groupGelfand pairSchwartz space

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (8)

Schwartz correspondence for the complex motion group on \(\mathbb{C}^2\) ⋮ Spectral multipliers on 2-step stratified groups. I. ⋮ Nilpotent Gelfand pairs and spherical transforms of Schwartz functions. I: Rank-one actions on the centre ⋮ Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs ⋮ Spectral theory for commutative algebras of differential operators on Lie groups ⋮ Analysis of joint spectral multipliers on Lie groups of polynomial growth ⋮ On the Schwartz correspondence for Gelfand pairs of polynomial growth ⋮ Convolution kernels versus spectral multipliers for sub-Laplacians on groups of polynomial growth

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