Small eigenvalues of the Laplace operator on compact Riemann surfaces

Burton Randol

Type: Article

Publication Date: 1974-01-01

Citations: 90

DOI: https://doi.org/10.1090/s0002-9904-1974-13609-8

Abstract

Let Sf be a compact Riemann surface, which we will assume to have curvature normalized to be — 1 , and let 0=A0 0) , and satisfying a growth condition of the form \h(z) = 0 ( l + |z|)~, uniformly in the strip. Associate with the sequence o(%)> hix)* ' ' • of eigenvalues, a sequence R, consisting of those numbers r(x) that satisfy the equations hn(%)=l+r (x) (n=0, 1, 2, • • •)• Apart

Locations

Bulletin of the American Mathematical Society - View - PDF
Project Euclid (Cornell University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF
Project Euclid (Cornell University) - View - PDF

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