On characterization of Hilbert transform of Riemannian surface with boundary

DOI10.1007/S11785-021-01185-5zbMath1492.44003OpenAlexW4200400884WikidataQ115377742 ScholiaQ115377742MaRDI QIDQ2064066

D. V. Korikov, Mikhail I. Belishev

Publication date: 4 January 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01185-5

zbMATH Keywords

Hilbert transformcharacterizationRiemann surfaceholomorphic function algebra

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inverse problems for PDEs (35R30) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Ideals, maximal ideals, boundaries (46J20) Harmonic functions on Riemann surfaces (30F15)

Related Items (3)

Stability of Determination of Riemann Surface from its Dirichlet-to-Neumann Map in Terms of Teichmüller Distance ⋮ New notions and constructions of the boundary control method ⋮ Stability of determination of Riemann surface from its DN-map in terms of holomorphic immersions

Cites Work

• On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
• Analytic multivalued functions in Banach algebras and uniform algebras
• Dirichlet to Neumann operator on differential forms
• On Determination of Nonorientable Surface via its Diriclet-to-Neumann Operator
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map
• The Calderon Problem for Two-Dimensional Manifolds by the BC-Method
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