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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1995 Volume 58, Issue 1, Pages 67–85 (Mi mzm2025)

This article is cited in 10 papers

Singular integral operators on complicated contours and pseudodifferential operators

V. S. Rabinovich

Rostov State University

Abstract: We apply the pseudodifferential operator technique to the study of algebras of singular operators on complicated contours. This technique is used to construct a symbolic calculus for the $C^*$-algebra generated by singular integral operators whose coefficients may have singularities of the second kind on complicated contours; the curves forming a node are not required to have a tangent at the node.

Received: 07.06.1994


 English version:
Mathematical Notes, 1995, 58:1, 722–734

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