On the analytic continuation of the Minakshisundaram-Pleijel zeta function for compact symmetric spaces of rank one

DOI10.1006/jmaa.1997.5588zbMath1004.58017OpenAlexW1978858621MaRDI QIDQ1380366

Roberto Camporesi

Publication date: 26 January 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5588

zbMATH Keywords

partition functionzeta functionsymmetric spaceheat kernelLaplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (4)

Maclaurin spectral results on rank one symmetric spaces of noncompact type ⋮ On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces ⋮ The local zeta function for symmetric spaces of non-compact type ⋮ Minakshisundaram-Pleijel coefficients for non-compact higher rank symmetric spaces

Cites Work

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• Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
• The Plancherel measure for \(p\)-forms in real hyperbolic spaces
• Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• The Minakshisundaram-Pleijel Coefficients for the Vector Valued Heat Kernel on Compact Locally Symmetric Spaces of Negative Curvature
• On a recurrence formula for elementary spherical functions on symmetric spaces and its applications to multipliers for the spherical Fourier transform.
• Spectral functions and zeta functions in hyperbolic spaces
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds

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