A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds, II

• Autorzy: Werner Nowak
• Języki publikacji: EN

Abstrakty

EN

This article is concerned with estimations from below for the remainder term in Weyl’s law for the spectral counting function of certain rational (2ℓ + 1)-dimensional Heisenberg manifolds. Concentrating on the case of odd ℓ, it continues the work done in part I [21] which dealt with even ℓ.

Słowa kluczowe

EN

Heisenberg manifolds; Weyl’s law; Spectral theory; Omega estimates

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 58J50: Spectral problems; spectral geometry; scattering theory
• 11P21: Lattice points in specified regions
• 35P20: Asymptotic distribution of eigenvalues and eigenfunctions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 452-462

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

Werner Nowak

• Universität für Bodenkultur Wien

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0028-1