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Spectral properties of elliptic pseudodifferential operators on a closed curve

โœ Scribed by M. S. Agranovich

Publisher
Springer US
Year
1980
Tongue
English
Weight
221 KB
Volume
13
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

On the index of degenerate pseudodiffere
On the index of degenerate pseudodifferential operators on a closed curve
โœ Johannes Elschner ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 670 KB

## Abstract We consider a class of degenerate classical pseudodifferential operators on a closed curve and compute their index in Sobolev spaces. The index is expressed as a winding number by means of the principal and the subprincipal symbol. Furthermore, applications to the smoothness of solution

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Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
โœ Elmar Schrohe ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 840 KB

The pseudodifferential operators with symbols in the Grushin classes S,~, 0 < < p < 1, of slowly varying symbols are shown to form spectrally invariant unital Fr6chet-\*-algebras (\*-algebras) in ยฃ(L 2 (Rn)) and in ยฃ(Hz t ) for weighted Sobolev spaces Hit defined via a weight function y. In all case