Compact isospectral sets of plane domains.

Abstract:

:Any isospectral family of two-dimensional Euclidean domains is shown to be compact in the C(infinity) topology. Previously Melrose, using heat invariants, was able to establish the C(infinity) compactness of the curvature of the boundary curves. The additional ingredient used in this paper to obtain the compactness of the domains is the behavior of the determinant of the Laplacian near the boundary of the moduli space.

authors

Osgood B,Phillips R,Sarnak P

doi

10.1073/pnas.85.15.5359

subject

Has Abstract

pub_date

1988-08-01 00:00:00

pages

5359-61

issue

15

eissn

0027-8424

issn

1091-6490

journal_volume

85

pub_type

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