@inbook{ed8b1dac30a747bd9fb0c44047f7ff5f,

title = "Spectral estimates for positive Rockland operators",

abstract = "Let (h,G,U) be an irreducible unitary representation of a homogeneous Lie group G and H a self-adjoint operator on h associated with a positive Rockland operator. We derive upper and lower bounds on the eigenvalue distribution of H in terms of volume estimates on the coadjoint orbit corresponding to the representation U. Hence we deduce bounds on the partition function B -> Trh(exp(-BH)). An application is given to the spectrum and eigenfunctions of the general anharmonic oscillator.",

author = "{Elst, ter}, A.F.M. and D.W. Robinson",

year = "1997",

language = "English",

isbn = "0-521-58532-5",

series = "Australian Mathematical Society Lecture Series",

publisher = "Cambridge University Press",

pages = "195--213",

editor = "G.I. Lehrer",

booktitle = "Algebraic groups and Lie groups",

address = "United Kingdom",

}