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Singular integral operators on complicated contours and pseudodifferential operators

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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 theC *-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.

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Authors and Affiliations

  1. Rostov State University, USSR

    V. S. Rabinovich

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  1. V. S. Rabinovich
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Translated fromMatematicheskie Zametki, Vol. 58, No. 1, pp. 67–85, July, 1995.

This work was partially supported by the Russian Foundation for Basic Research under grant No. 93-04-691.

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Rabinovich, V.S. Singular integral operators on complicated contours and pseudodifferential operators. Math Notes 58, 722–734 (1995). https://doi.org/10.1007/BF02306181

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