Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach

DOI10.1007/s13324-020-00371-6zbMath1452.44004arXiv1909.08870OpenAlexW3035564087WikidataQ97592888 ScholiaQ97592888MaRDI QIDQ2190333

Alexander Tovbis, Elliot Blackstone, Marco Bertola, Alexander Katsevich

Publication date: 18 June 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08870

zbMATH Keywords

Riemann-Hilbert problemasymptotics of hypergeometric functionsdiagonalization of integral operators with continuous spectrumfinite Hilbert transforms on multi intervalsspectral theory of finite Hilbert transforms

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Spectrum, resolvent (47A10)

Related Items (max. 100)

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

Uses Software

• DLMF

Cites Work

• On Sobolev instability of the interior problem of tomography
• Diagonalization of the finite Hilbert transform on two adjacent intervals
• Spectral representations for finite Hilbert transformations
• Strong asymptotics of the recurrence coefficients of orthogonal polynomials associated to the generalized Jacobi weight.
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach
• Singular value decomposition for the truncated Hilbert transform: part II
• Singular value decomposition for the truncated Hilbert transform
• Asymptotics of the Gauss hypergeometric function with large parameters, II
• On the Spectral Theory of Singular Integral Operators
• Titchmarsh-Weyl m -functions for second-order Sturm-Liouville problems with two singular endpoints
• Solving the interior problem of computed tomography usinga prioriknowledge
• Singular Integral Equations In L p
• Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform
• Asymptotic Analysis of the SVD for the Truncated Hilbert Transform with Overlap
• Spectral Analysis of the Truncated Hilbert Transform with Overlap
• 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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