An application of scattering theory to the spectrum of the Laplace-Beltrami operator

Details An application of scattering theory to the spectrum of the Laplace-Beltrami operator An application of scattering theory to the spectrum of the Laplace-Beltrami operator

2003-01-10

arxiv.org/abs/math/0301099v1

Rend. Acad. Naz. Sci. XL Mem. Math. Appl.(2001) Vol. XXV Fasc.1, 97-109

Mathematics

Spectral Theory

13 pages

Scientific paper

Applying a theorem due to Belopol'ski and Birman, we show that the
Laplace-Beltrami operator on 1-forms on ${\bf R}^n$ endowed with an
asymptotically Euclidean metric has absolutely continuous spectrum equal to
$[0, +\infty)$.

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