The Riemann Boundary Value Problem on Non-rectifiable Curves and Fractal Dimensions

DOI10.1007/978-3-0348-0346-5_8zbMath1248.30011OpenAlexW257437439MaRDI QIDQ2902850

Boris A. Kats

Publication date: 22 August 2012

Published in: Recent Progress in Operator Theory and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0346-5_8

zbMATH Keywords

Cauchy transformRiemann boundary value problempolygonal approximationmetric dimensionjump problemnon-rectifiable curve

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Boundary value problems in the complex plane (30E25)

Cites Work

• On solvability of the jump problem
• Integration over a fractal curve and the jump problem
• A Riemann-Hilbert problem for biorthogonal polynomials
• The Inequalities for Polynomials and Integration over Fractal Arcs
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