The uncertainty principle on Riemannian symmetric spaces of the noncompact type

DOI10.1090/S0002-9939-01-06318-3zbMath1067.43006OpenAlexW1529000217WikidataQ115290186 ScholiaQ115290186MaRDI QIDQ2781247

Jyoti Sengupta

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06318-3

Mathematics Subject Classification ID

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

Related Items (9)

Hardy's uncertainty principle on hyperbolic spaces ⋮ On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups ⋮ Beurling's theorem for \(\mathrm{SL} (2, {\mathbb{R}})\) ⋮ Abel transform on \(\mathrm{PSL}(2,\mathbb R)\) and some of its applications ⋮ Uncertainty principle andL^p–L^q-version of morgan’s theorem on semi-simple lie groups ⋮ Uncertainty principles for the Schrödinger equation on Riemannian symmetric spaces of the noncompact type ⋮ Beurling's theorem for Riemannian symmetric spaces II ⋮ On theorems of Morgan and Cowling-Price for selected nilpotent Lie groups ⋮ AnL^p−L^q-version of Morgan's theorem for the Dunkl–Bessel transform

Cites Work

• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups
• Uncertainty principles on certain Lie groups
• 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups
• A Basic Inequality for Scattering Theory on Riemannian Symmetric Spaces of the Noncompact Type
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