V. S. Rabinovich, “Singular integral operators on complicated contours and pseudodifferential operators”, Mat. Zametki, 58:1 (1995), 67–85; Math. Notes, 58:1 (1995), 722

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

This article is cited in 10 scientific papers (total in 10 papers)

Singular integral operators on complicated contours and pseudodifferential operators

V. S. Rabinovich

Rostov State University

Full-text PDF (1534 kB) Citations (10)

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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 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, Volume 58, Issue 1, Pages 722–734
DOI: https://doi.org/10.1007/BF02306181

Bibliographic databases:

Language: Russian

Citation: V. S. Rabinovich, “Singular integral operators on complicated contours and pseudodifferential operators”, Mat. Zametki, 58:1 (1995), 67–85; Math. Notes, 58:1 (1995), 722–734

Citation in format AMSBIB

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\jour Mat. Zametki

\yr 1995

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\jour Math. Notes

\yr 1995

\vol 58

\issue 1

\pages 722--734

\crossref{https://doi.org/10.1007/BF02306181}

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Linking options:

https://www.mathnet.ru/eng/mzm2025

https://www.mathnet.ru/eng/mzm/v58/i1/p67

This publication is cited in the following 10 articles:

Vladimir Rabinovich, Advances in Harmonic Analysis and Operator Theory, 2013, 323
Vladimir Rabinovich, Stefan Samko, “Pseudodifferential Operators Approach to Singular Integral Operators in Weighted Variable Exponent Lebesgue Spaces on Carleson Curves”, Integr. Equ. Oper. Theory, 69:3 (2011), 405
Yuri I. Karlovich, Operator Theory: Advances and Applications, 181, Operator Algebras, Operator Theory and Applications, 2008, 229
V. Rabinovich, B.-W. Schulze, N. Tarkhanov, “Boundary Value Problems in Oscillating Cuspidal Wedges”, Rocky Mountain J. Math., 34:4 (2004)
A. N. Karapetyants, V. S. Rabinovich, N. L. Vasilevski, “On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols”, Integr equ oper theory, 40:3 (2001), 278
Yu. I. Karlovich, A. B. Lebre, “Algebra of singular integral operators with a Carleman backward slowly oscillating shift”, Integr equ oper theory, 41:3 (2001), 288
A. Böttcher, Yu. I. Karlovich, V. S. Rabinovich, Problems and Methods in Mathematical Physics, 2001, 36
V. Rabinovich, N. Vasilevski, Complex Analysis and Related Topics, 2000, 207
A. Böttcher, Yu. I. Karlovich, V. S. Rabinovich, “Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights”, Manuscripta Math, 95:1 (1998), 363
V. S. Rabinovich, “Algebras of Singular Integral Operators on Composed Contours with Whirl Points”, Funct. Anal. Appl., 30:3 (1996), 213–215

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	371
Full-text PDF :	97
References:	35
First page:	1

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