On Weyl's asymptotics and remainder term for the orthogonal and unitary groups

DOI10.1007/s00041-017-9522-1zbMath1385.58005arXiv1702.01564OpenAlexW2588554377MaRDI QIDQ1704869

Ali Taheri, Charles G. Morris

Publication date: 13 March 2018

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

Full work available at URL: https://arxiv.org/abs/1702.01564

zbMATH Keywords

remainder termclosed geodesicsWeyl's lawcompact Lie groupsspectral counting functiontwist maps

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Geodesics in global differential geometry (53C22) Compact groups (22C05) Spectral theory; eigenvalue problems on manifolds (58C40) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (3)

On Jacobi polynomials \((\mathcal {P}_k^{(\alpha, \beta)}: \alpha, \beta >-1)\) and Maclaurin spectral functions on rank one symmetric spaces ⋮ Semigroup asymptotics, the Funk-Hecke identity and the Gegenbauer coefficients associated with the spherical Laplacian ⋮ On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\)

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