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On the Spectral Multiplicity of Some Volterra Operators in Sobolev Spaces

✍ Scribed by I. Yu. Domanov


Book ID
110390918
Publisher
SP MAIK Nauka/Interperiodica
Year
2002
Tongue
English
Weight
128 KB
Volume
72
Category
Article
ISSN
0001-4346

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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 Β£(L 2 (Rn)) and in Β£(Hz t ) for weighted Sobolev spaces Hit defined via a weight function y. In all case