\(C^*\)-algebras of multidimensional Toeplitz and Wiener-Hopf operators with discontinuities that are the union of stratified conformal orbifolds of the foliation type (Q1386603)
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scientific article; zbMATH DE number 1155317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^*\)-algebras of multidimensional Toeplitz and Wiener-Hopf operators with discontinuities that are the union of stratified conformal orbifolds of the foliation type |
scientific article; zbMATH DE number 1155317 |
Statements
\(C^*\)-algebras of multidimensional Toeplitz and Wiener-Hopf operators with discontinuities that are the union of stratified conformal orbifolds of the foliation type (English)
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24 May 1998
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The author constructs a symbolic calculus for \(C^*\)-algebras of \(n\)-dimensional Toeplitz and Wiener-Hopf operators with PC-type discontinuities connected with some arrangement of singularities \(\Lambda_n\) on the sphere \(S^{n- 1}\). As a consequence necessary and sufficient conditions for operators of these algebras to be Fredholm are formulated. Some results on a foliation connected with the arrangement of singularities \(\Lambda_n\) are announced as well.
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Fredholm operators
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symbolic calculus
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\(C^*\)-algebras of \(n\)-dimensional Toeplitz and Wiener-Hopf operators
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PC-type discontinuities
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arrangement of singularities
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