Singular Value Decomposition of a Finite Hilbert Transform Defined on Several Intervals and the Interior Problem of Tomography: The Riemann-Hilbert Problem Approach

Author:

Bertola Marco1,Katsevich Alexander2,Tovbis Alexander2

Affiliation:

1. Department of Mathematics and Statistics; Concordia University; 1455 de Maisonneuve W. Montréal QC H3G 1M8 Canada

2. University of Central Florida, Department of Mathematics; 4000 Central Florida Blvd. P.O. Box 161364 Orlando FL 32816-1364 USA

Funder

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

Publisher

Wiley

Subject

Applied Mathematics,General Mathematics

Reference35 articles.

1. Spectral analysis of the truncated Hilbert transform with overlap;Al-Aifari;SIAM J. Math. Anal.,2014

2. Note sur une relation entre les intégrales définies des produits des fonctions;Andréief;Mem. Soc. Sci. Bordeaux,1883

3. The transition between the gap probabilities from the Pearcey to the airy process-a Riemann-Hilbert approach;Bertola;Int. Math. Res. Not. IMRN,2012

4. Universality for the focusing nonlinear Schrödinger equation at the gradient catastrophe point: rational breathers and poles of the tritronquée solution to Painlevé I;Bertola;Comm. Pure Appl. Math.,2013

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