On the Hilbert formulas and of change of integration order for some singular integrals in the unit circle

DOI10.3906/mat-1704-77zbMath1424.31001OpenAlexW2802704922MaRDI QIDQ4634202

Baruch Schneider, Ricardo Abreu-Blaya, Juan Bory-Reyes, Marco Antonio Pérez-de la Rosa

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1704-77

zbMATH Keywords

Hilbert formulasPoincaré-Bertrand formulas

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Integral equations with kernels of Cauchy type (45E05)

Related Items

Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory ⋮ On the Hilbert formulas on the unit circle for α-hyperholomorphic function theory ⋮ Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes

Cites Work

• On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations
• Some notes on the Poincaré-Bertrand formula
• On the Hilbert formulas on the unit sphere for the time-harmonic relativistic Dirac bispinors theory
• Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional
• Generalized Poincaré-Bertrand formula on a hypersurface
• The singular integral equation on a closed piecewise smooth manifold in \(\mathbb{C}^n\)
• On a Cauchy-type integral related to the Helmholtz operator in the plane
• The Poincaré-Bertrand formula for the Bochner-Martinelli integral
• On the hilbert operator for α-hyperholomorphic function theory in
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