On the asymptotic distribution of the spectrum of an operator over irreducible representations of its symmetry group

DOI10.1007/s10688-006-0035-yzbMath1142.58308OpenAlexW1995194996MaRDI QIDQ883631

Vladimir N. Karpushkin

Publication date: 5 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0035-y

zbMATH Keywords

group actionelliptic operatorfinite groupregular representation

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

• Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group
• On the asymptotic behavior of eigenvalues of symmetric manifolds and on most probable representations of finite groups
• Spectrum and the fixed point sets of isometries. I
• \(G\)-spaces, the asymptotic splitting of \(L2(M)\) into irreducibles
• Etude Du Spectre Pour Un Operateur Globalement Elliptique Dont Le Symbole de Weyl Presente des Symetries: 1. Action des Groupes Finis
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