Singular integral operators on complicated contours and pseudodifferential operators
Matematičeskie zametki, Tome 58 (1995) no. 1, pp. 67-85
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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.
@article{MZM_1995_58_1_a5,
author = {V. S. Rabinovich},
title = {Singular integral operators on complicated contours and pseudodifferential operators},
journal = {Matemati\v{c}eskie zametki},
pages = {67--85},
publisher = {mathdoc},
volume = {58},
number = {1},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_1_a5/}
}
V. S. Rabinovich. Singular integral operators on complicated contours and pseudodifferential operators. Matematičeskie zametki, Tome 58 (1995) no. 1, pp. 67-85. http://geodesic.mathdoc.fr/item/MZM_1995_58_1_a5/