The heat kernel and Hardy's theorem on symmetric spaces of noncompact type

DOI10.1007/BF02829756zbMath1007.43006MaRDI QIDQ698360

M. C. Fu

Publication date: 18 September 2002

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

zbMATH Keywords

Laplace-Beltrami operatorheat kernelsemisimple Lie groupHelgason-Fourier transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

Cowling-Price theorem and characterization of heat kernel on symmetric spaces, On theorems of Hardy, Gelfand-Shilov and Beurling for semisimple groups, Kernel density estimation on symmetric spaces of non-compact type, Cowling-Price type theorem related to Bessel-Struve transform, Hardy's theorem for the continuous wavelet transform, A generalized Beurling theorem for some Lie groups, Abel transform on \(\mathrm{PSL}(2,\mathbb R)\) and some of its applications, 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups, A complete analogue of Hardy's theorem on \(SL_2(\mathbb{R})\) and characterization of the heat kernel

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