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
โฆ LIBER โฆ
The wavelet transform on Sobolev spaces and its approximation properties
โ Scribed by Andreas Rieder
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 811 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
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In this paper we are dealing with positive linear functionals on W\*-algebras. We introduce the notion of a positive linear functional with 2-property (see Definition 1.1). It is shown that each positive linear functional on a W\*-algebra possesses the 2property. This fact allows to give a short pr
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