R. Alaifari, Analysis of the truncated Hilbert transform arising in limited data computerized tomography, 2014.

R. Alaifari, M. Defrise, and A. Katsevich, Spectral analysis of the truncated Hilbert transform with overlap, SIAM J. Math. Anal, vol.46, pp.192-213, 2014.

R. Alaifari, L. B. Pierce, and S. Steinerberger, Lower bounds for the truncated Hilbert transform, Rev. Mat. Iberoamericana, vol.32, pp.23-56, 2016.

S. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory, 2001.

L. Baratchart, D. P. Hardin, E. A. Lima, E. B. Saff, and B. P. Weiss, Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions, Inverse Problems, vol.29, issue.1, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00919261

L. Baratchart, S. Chevillard, D. Hardin, J. Leblond, E. A. Lima et al., Magnetic moment estimation and bounded extremal problems, vol.13, p.2019
URL : https://hal.archives-ouvertes.fr/hal-01623991

L. Baratchart, S. Chevillard, and J. Leblond, Silent and equivalent magnetic distributions on thin plates, Proceedings of the Conference "Analyse Harmonique et Fonctionnelle, Théorie des Opérateurs et Applications" 2015 (in honor of Jean Esterle), pp.11-28, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01286117

L. Baratchart, S. Chevillard, J. Leblond, E. A. Lima, and D. Ponomarev, Asymptotic method for estimating magnetic moments from field measurements on a planar grid
URL : https://hal.archives-ouvertes.fr/hal-01421157

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.

I. Chalendar, J. Leblond, and J. R. Partington, Approximation problems in some holomorphic spaces, with applications, Systems, Approximation, Singular Integral Operators, and Related Topics, Integral Equations and Operator Theory, vol.129, pp.143-169, 2001.

I. Chalendar and J. R. Partington, Constrained approximation and invariant subspaces, J. Math. Anal. Appl, vol.280, pp.176-187, 2003.

I. Chalendar and J. R. Partington, Modern approaches to the invariant-subspace problem, Cambridge Tracts in Mathematics, vol.188, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00863644

P. L. Duren, Theory of H p spaces, Pure and Applied Mathematics, vol.38, 1970.

J. B. Garnett, Bounded analytic functions, Graduate Texts in Mathematics, vol.236, 2007.

J. D. Jackson, Classical Electrodynamics, 1999.

B. Jacob, J. Leblond, J. Marmorat, and J. R. Partington, A constrained approximation problem arising in parameter identification, Linear Algebra and its Applications, pp.487-500, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00504824

P. Jaming, E. Pozzi, and B. D. Wick, Lower bounds for the dyadic Hilbert transform, Annales de la Faculté des Sciences de Toulouse, vol.27, pp.265-284, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01317117

T. Kato, Perturbation Theory for Linear Operators, vol.132, 1976.

W. Koppelman and J. D. Pincus, Spectral Representations for Finite Hilbert Transformations, vol.71, pp.399-407, 1959.

R. Kress, Linear Integral Equations, 1989.

J. Leblond and D. Ponomarev, On some extremal problems for analytic functions with constraints on real or imaginary parts, Festschrift in Honor of Daniel Alpay's 60th Birthday, Advances in Complex Analysis and Operator Theory, pp.219-236, 2017.

J. Ledford, Recovery of bivariate band-limited functions using scattered translates of the Poisson kernel, Journal of Approximation Theory, vol.189, pp.170-180, 2015.

J. Mashreghi, Representation Theorems in Hardy Spaces, 2009.

N. K. Nikolski, Operators, functions, and systems: an easy reading, vol.1, 2002.

D. Ponomarev, Some inverse problems with partial data, 2016.
URL : https://hal.archives-ouvertes.fr/tel-01400595

W. Rudin, Functional Analysis, 1991.

E. M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, 1971.