Spectral asymptotics revisited

DOI10.1007/s00041-012-9216-7zbMath1259.47006arXiv1012.0272OpenAlexW2964126254MaRDI QIDQ438665

Robert S. Strichartz

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1012.0272

zbMATH Keywords

integrated density of statesspectral asymptoticsLaplaciansymmetry groupasymptotic splitting lawspectral massspectral projection operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (8)

Spectral asymptotics on compact Heisenberg manifolds ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs ⋮ A general Dixmier trace formula for the density of states on open manifolds ⋮ Average error for spectral asymptotics on surfaces ⋮ Unnamed Item ⋮ Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces ⋮ The Dixmier Trace and the Noncommutative Residue for Multipliers on Compact Manifolds

Cites Work

• L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
• On a spectral analysis for the Sierpiński gasket.
• Harmonic analysis as spectral theory of Laplacians
• Ihara's zeta function for periodic graphs and its approximation in the amenable case
• Brownian motion on the Sierpinski gasket
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Spectral analysis on infinite Sierpiński gaskets
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• Function spaces on fractals
• Compact Heisenberg manifolds as CR manifolds
• The spectral function of an elliptic operator
• A trace on fractal graphs and the Ihara zeta function
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• The asymptotic distribution of eigenvalues of differential operators
• Fractafolds based on the Sierpinski gasket and their spectra
• Spectral properties of self-similar lattices and iteration of rational maps
• Sur les représentations unitaires des groupes de Lorentz généralisés
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• Integrated density of states of self-similar Sturm-Liouville operators and holomorphic dynamics in higher dimension.
• The finite element method on the Sierpinski gasket
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral asymptotics revisited