Spectra of \(C^ *\)-algebras of pseudodifferential operators with multidimensional discontinuities in symbols (Q1091596)
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scientific article; zbMATH DE number 4011291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectra of \(C^ *\)-algebras of pseudodifferential operators with multidimensional discontinuities in symbols |
scientific article; zbMATH DE number 4011291 |
Statements
Spectra of \(C^ *\)-algebras of pseudodifferential operators with multidimensional discontinuities in symbols (English)
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1986
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Verff. betrachten Algebren von Pseudodifferentialoperatoren in \(L_ 2({\mathbb{R}}^ m)\) und in \(L_ 2(\rho,{\mathbb{R}}^ m)\) (Hilberträume mit einer \(\rho\)-gewichteten Norm). Dabei können die Symbole der PDO's eine Sprungstelle längs einer n-dimensionalen Ebene, \(1\leq n\leq m-1\), haben. Verff. geben alle irreduziblen Darstellungen dieser Algebren an und charakterisieren das Spektrum.
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multidimensional discontinuities in symbols
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algebras of pseudodifferential operators
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irreducible representation
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