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Asymptotics on the Number of Scattering Poles for Degenerate Perturbations of the Laplacian

✍ Scribed by Georgi Vodev

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
446 KB
Volume
138
Category
Article
ISSN
0022-1236

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✦ Synopsis

For a class of compactly supported hypoelliptic perturbations of the Laplacian in R n , n 3 odd, we prove that an asymptotic on the number of the eigenvalues of the corresponding reference operator implies a similar asymptotic for the number of the scattering poles.

πŸ“œ SIMILAR VOLUMES

Asymptotic completeness for functions of
Asymptotic completeness for functions of the Laplacian perturbed by potentials and obstacles
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## Abstract In this paper we show with scattering theoretical methods the absence of the singular continuous spectrum for operators that are perturbations of functions of the Laplacian. We extend the semigroup criteria developed in [9] and apply the result to the case of the fractional Laplacian (βˆ’