Spectral invariance, ellipticity, and th
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Elmar Schrohe
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Article
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1992
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Springer
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English
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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