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Spectral Invariance of SG Pseudo-Differential Operators on L-P(R-n)

Dasgupta, Aparajita and Wong, MW (2010) Spectral Invariance of SG Pseudo-Differential Operators on L-P(R-n). In: International Workshop on Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations, AUG 04-08, 2008 , York Univ, pp. 51-57.

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Official URL: http://www.springerlink.com/content/m8122335710660...

Abstract

We prove the spectral invariance of SG pseudo-differential operators on L-P(R-n), 1 < p < infinity, by using the equivalence of ellipticity and Fredholmness of SG pseudo-differential operators on L-p(R-n), 1 < p < infinity. A key ingredient in the proof is the spectral invariance of SC pseudo-differential operators on L-2(R-n).

Item Type: Conference Paper
Additional Information: Copyright of this article belongs to Springer.
Keywords: Pseudo-differential operators; Sobolev spaces; ellipticity; Fredholmness; spectral invariance.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 27 Oct 2010 06:21
Last Modified: 27 Oct 2010 06:21
URI: http://eprints.iisc.ernet.in/id/eprint/33434

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