A complete analogue of Hardy's theorem on \(SL_2(\mathbb{R})\) and characterization of the heat kernel

DOI10.1007/BF02829691zbMath1021.22007OpenAlexW2135653437MaRDI QIDQ1860621

Rudra P. Sarkar

Publication date: 16 October 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829691

zbMATH Keywords

Fourier transformheat kernelCasimir operatorHardy's theorem

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30)

Related Items (5)

On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups ⋮ On the theorems of Hardy and Miyachi for the Jacobi–Dunkl transform ⋮ Hardy's theorem for the continuous wavelet transform ⋮ Abel transform on \(\mathrm{PSL}(2,\mathbb R)\) and some of its applications ⋮ The Helgason Fourier transform for semisimple Lie groups I: The Case of SL₂(ℝ)

Cites Work

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• Heat kernels on Lie groups
• A Theorem Concerning Fourier Transforms
• An analogue of Hardy’s theorem for semi-simple Lie groups
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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