Marcinkiewicz exponents and integrals over non‐rectifiable paths
Copyright policy )Marcinkiewicz exponents and integrals over non‐rectifiable paths
We introduce and study certain distributions generalizing the operation of curvilinear integration for the case where the path of integration is not rectifiable. Then we apply that distributions for solving of boundary value problems of Riemann—Hilbert type in domains with non‐rectifiable boundaries. Copyright © 2015 John Wiley & Sons, Ltd.
- Institute of Mathematics and Mechanics Russian Federation
- Kazan Federal University Russian Federation
690, subclass 30E20, Cauchy integral, non-rectifiable path, non-rectifiable curves, 610, Riemann-Hilbert boundary value problem, integration, 30E25, Cauchy-type integral, distribution, Boundary value problems in the complex plane, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Riemann–Hilbert boundary value problem
690, subclass 30E20, Cauchy integral, non-rectifiable path, non-rectifiable curves, 610, Riemann-Hilbert boundary value problem, integration, 30E25, Cauchy-type integral, distribution, Boundary value problems in the complex plane, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Riemann–Hilbert boundary value problem
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