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 |
|---|---|
| Series.: | Operator Theory Advances and Applications |
| Publisher: | Springer |
| 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.ac.in/id/eprint/33434 |
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