\(C^\ast\)-algebras of singular integral operators in domains with oscillating conical singularities (Q697415)
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scientific article; zbMATH DE number 1801619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^\ast\)-algebras of singular integral operators in domains with oscillating conical singularities |
scientific article; zbMATH DE number 1801619 |
Statements
\(C^\ast\)-algebras of singular integral operators in domains with oscillating conical singularities (English)
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17 September 2002
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The authors introduce a new class of multidimensional singular integral operators and show the Fredholm property in spaces with general weight functions. The method relies on a very efficient notion of symbols generated in terms of limited operators. They systematically study pseudodifferential operators based on the Mellin transform with operator-valued symbols and analyticity in a strip of the complex plane with oscillating coefficients.
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oscillating conical singularities
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local principles
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Mellin operators
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singular integral operators
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