The blowup along the diagonal of the spectral function of the Laplacian

DOI10.1007/s40574-016-0055-3zbMath1354.58028arXiv1103.1276OpenAlexW1606619885MaRDI QIDQ331864

Liviu I. Nicolaescu

Publication date: 27 October 2016

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1276

zbMATH Keywords

harmonic polynomialRiemannian manifoldeigenfunctionsLaplacianspectral functionsreal analytic manifold

Mathematics Subject Classification ID

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

Related Items (1)

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Cites Work

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• Scaling limit for the kernel of the spectral projector and remainder estimates in the pointwise Weyl law
• Nodal sets of eigenfunctions on Riemannian manifolds
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• Riemannian manifolds with maximal eigenfunction growth
• Derivatives of the spectral function and Sobolev norms of eigenfunctions on a closed Riemannian manifold
• The spectral function of an elliptic operator
• Local and global analysis of eigenfunctions
• Meillieurs estimations asymptotiques des restes de la fonctionn spectrale et des valeurs propres relatifs au laplacien.
• Average Growth of the Spectral Function on a Riemannian Manifold
• Remark on Eigenfunction Expansions for Elliptic Operators with Constant Coefficients.

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