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Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on({{mathbb S}^1})

✍ Scribed by Shahla Molahajloo; M. W. Wong

Book ID
107532142
Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
229 KB
Volume
1
Category
Article
ISSN
1662-9981

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Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces
✍ Elmar Schrohe 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 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 £(L 2 (Rn)) and in £(Hz t ) for weighted Sobolev spaces Hit defined via a weight function y. In all case