Inversion formula and range conditions for a linear system related with the multi‐interval finite Hilbert transform in L2

DOI10.1002/mana.201800567arXiv1806.00436OpenAlexW3167467372MaRDI QIDQ6093988

Marco Bertola, Alexander Tovbis, Alexander Katsevich

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00436

zbMATH Keywords

Riemann-Hilbert probleminversion formulamulti interval finite Hilbert transformrange condition in \(L^2\)

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Singular integral equations (45E99) Multiple integral transforms (44A30)

Related Items (1)

On the spectral properties of the Hilbert transform operator on multi-intervals

Cites Work

• Spectral representations for finite Hilbert transformations
• Crofton's function and inversion formulas in real integral geometry
• Regularity of a vector potential problem and its spectral curve
• New results on the equilibrium measure for logarithmic potentials in the presence of an external field
• Justification of a numerical method for solving systems of singular integral equations in diffraction grating problems
• Equilibrium problems for vector potentials with semidefinite interaction matrices and constrained masses
• On fluctuations of eigenvalues of random Hermitian matrices.
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Gaussian asymptotics of discrete \(\beta \)-ensembles
• Die Lösungen der Integralgleichung \(g(x)={1\over 2\pi}\oint_{- a}^a{f(\xi)\over x-\xi}d\xi\) und deren Anwendung in der Tragflügeltheorie
• Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach
• Inversion formulae for the $\mathrm {\cosh }$-weighted Hilbert transform
• On the Spectral Theory of Singular Integral Operators
• Large-NAsymptotic Expansion for Mean Field Models with Coulomb Gas Interaction
• Singular Integral Equations In L p
• The Finite Hilbert Transform in ℒ2
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
• Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform
• Spectral Multiplicity Theory for a Class of Singular Integral Operators
• A Spectral Theory for Self-Adjoint Singular Integral Operators
• On the Spectral Theory of Singular Integral Operators
• DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
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