Karim Kellay
Publications
Publications
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THE LOCAL DIRICHLET INTEGRAL AND APPLICATIONS2026 |
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On Wiener's Lemma on locally compact abelian groups2025 |
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On L1-norms for non-harmonic trigonometric polynomials with sparse frequencies.2024 |
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A lower estimate of an inner function and cyclicity in Bergman spaces2024 |
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SHARP REACHABILITY RESULTS FOR THE HEAT EQUATION IN ONE SPACE DIMENSION2019 |
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Sets of uniqueness for Dirichlet--type spaces2011 |
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Oversampling and Donoho-Logan type theorems in model spacesAnnales Fennici Mathematici, 2024, 49, pp.167-182 |
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Cyclicity in Besov-Dirichlet spaces from the Corona TheoremAnnales de la Faculté des Sciences de Toulouse. Mathématiques., In press |
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SPANS OF TRANSLATES IN WEIGHTED $\ell^p$ SPACESRevista Matemática Iberoamericana, In press, ⟨10.4171/RMI/1414⟩ |
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Random interpolating sequences in Dirichlet spacesInternational Mathematics Research Notices, 2022, 17, pp.13629-13658 |
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ON THE EFFECT OF ZERO-FLIPPING ON THE STABILITY OF THE PHASE RETRIEVAL PROBLEM IN THE PALEY-WIENER CLASSMonatshefte für Mathematik, 2022, 198 (4), pp.757-776. ⟨10.1007/s00605-022-01716-y⟩ |
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Phase retrieval for wide-band signalsJournal of Fourier Analysis and Applications, 2020, 26, pp.54 |
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Riesz bases of reproducing kernels in small Fock spacesJournal of Fourier Analysis and Applications, 2020, 26 (1) |
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From the reachable space of the heat equation to Hilbert spaces of holomorphic functionsJournal of the European Mathematical Society, 2020 |
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Quantitative estimates of sampling constants in model spacesAmerican Journal of Mathematics, 2020, 142 (4), pp.1301-1326 |
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Havin-Mazya type uniqueness theorem for Dirichlet spacesBulletin des Sciences Mathématiques, In press |
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Kernel estimate and capacity in the Dirichlet spacesJournal of Functional Analysis, 2019, 276 (3), pp.867-895 |
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A dynamical system approach to Heisenberg Uniqueness PairsJournal d'analyse mathématique, 2018, 134, pp.273-301 |
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Geometric conditions for multiple sampling and interpolation in the Fock spaceAdvances in Mathematics, 2017, 304, pp.1262-1295. ⟨10.1016/j.aim.2016.09.019⟩ |
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Geometry of reproducing kernels in model spaces near the boundaryJournal of Mathematical Analysis and Applications, 2017, 447 (2), pp.971-987 |
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Cyclicity and invariant subspaces in the Dirichlet spacesJournal Functional Analysis, 2016, 270 (9), pp.3262-3279 |
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Nevanlinna counting function and pull back measureProceedings of the American Mathematical Society, 2016, 144 (6), pp.2559-2564 |
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Constructive approximation in de Branges-Rovnyak spacesConstructive Approximation, 2016, 44 (2), pp.269-281 |
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Contact points and Schatten composition operatorsMathematische Zeitschrift, 2015, 279 (1-2), pp.407-422 |
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Two-isometries and de Branges-Rovnyak spacesComplex Analysis and Operator Theory, 2015, 9 (6), pp.1325-1335 |
One-box conditions for Carleson measures for the Dirichlet spaceProceedings of the American Mathematical Society, 2015, 143 (2), pp.679-684 |
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Multiple sampling and interpolation in the classical Fock spaceZapiski Nauchnykh Seminarov. Sankt-Peterburgskoe Otdelenie. Matematicheskiui Institut. Steklova.(POMI), 2015, 434, pp.53-56 |
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Sampling, interpolation and Riesz bases in small Fock spacesJournal de Mathématiques Pures et Appliquées, 2015, 103 (6), pp.1358-1389 |
Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spacesComplex Analysis and Operator Theory, 2015, 10 (1), pp.97-107 |
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Convergence of Lagrange interpolation series in the Fock spacesPublicacions Matemàtiques, 2014, 58 (1), pp.121-132 |
Composition operators on analytic weighted Hilbert space.International Book Series of Mathematical Texts., 2012, pp.69-76 |
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Compact composition operators on weighted Hilbert spaces of analytic functionsJournal of Mathematical Analysis and Applications, 2012, 386 (2), pp.718-727 |
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On zero sets in the Dirichlet spaceThe Journal of Geometric Analysis, 2011, 22 (4), pp.1055-1070. ⟨10.1007/s12220-011-9229-5⟩ |
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Cyclicity of singular inner functions from the corona theoremJournal of the Institute of Mathematics of Jussieu, 2011, 11 (4), pp.815-824. ⟨10.1017/S1474748012000035⟩ |
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Level sets and Composition operators on the Dirichlet spaceJournal of Functional Analysis, 2011, 260 ((6)), pp.1721-1733 |
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Poincaré type inequality for Dirichlet spaces and application to the uniqueness setMathematica Scandinavica, 2011, 108 ((1)), pp.103-114 |
A Self-contained proof of the strong-type capacitary inequality for the Dirichlet spaceCRM Proceeding and Lecture Notes, Amer Math Soc, Providence, RI, 2011, 55, pp.1-20 |
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Cantor sets and cyclicity in weighted Dirichlet spacesJournal of Mathematical Analysis and Applications, 2010, 372, pp.565-573 |
Invariant Subspaces of the Dirichlet SpaceCRM Proceedings and Lecture Notes AMS, 2010, 51, pp.133-141 |
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Idéaux fermés d'algèbres de Beurling analytiques sur le bidisqueBulletin des Sciences Mathématiques, 2010, 134 (6), pp.588-604 |
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Compact operators that commute with a contractionIntegral Equations and Operator Theory, 2009, 65 (4), pp.543-550 |
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Compact operators that commute with a contractionIntegral Equations and Operator Theory, 2009, 65 (4), pp.543-550. ⟨10.1007/s00020-009-1724-8⟩ |
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On the Brown--Shields conjecture for cyclicity in the Dirichlet spaceAdvances in Mathematics, 2009, 222 (6), pp.2196-2214. ⟨10.1016/j.aim.2009.07.011⟩ |
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Tauberian type theorem for operators with interpolation spectrum for Hölder classesProceedings of the American Mathematical Society, 2008, 136 (7), pp.2477-2482. ⟨10.1090/S0002-9939-08-09273-3⟩ |
Sampling and interpolation in large Bergman and Fock spaces.Journal of Functional Analysis, 2007, 242 (2), pp.563-606. ⟨10.1016/j.jfa.2006.09.002⟩ |
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Cyclicity in the Dirichlet space.Arkiv för Matematik, 2006, 44 (1), pp.61-86. ⟨10.1007/s11512-005-0008-z⟩ |
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The Littlewood problem and non-harmonic Fourier seriesSampTA2023, Yale University, 2023, New Haven (Yale University), United States |
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Cyclicity in Dirichlet type spacesComplex Analysis and Spectral Theory. 181–193, Contemp. Math., 743, Amer. Math. Soc., Providence, RI, [2020], May 2018, Québéc, Canada. pp.181-193 |
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Phase Retrieval for Wide Band SignalsSAMPTA 2019, Jul 2019, Bordeaux, France |
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Cyclicity in the harmonic Dirichlet spaceConference on Harmonic and Functional, Analysis, Operator Theory and Applications. 1–10, Theta Ser. Adv. Math., 19, Theta, Bucharest, 2017., Jun 2015, Bordeaux, France |
Harmonic Analysis, Function Theory, Operator Theory, and Their Applications: Conference Proceedings, Bordeaux, June 1-4, 2015 Theta Foundation International Book Series of Mathematical Texts 22,2018 |
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A primer on the Dirichlet SpacesCambridge University Press, pp.230, 2014, Cambridge Tracts in Mathematics (No. 203), 9781107239425. ⟨10.1017/CBO9781107239425⟩ |
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Sous-espaces invariants, théorèmes taubériens et approximation pondéréeMathématiques [math]. Université de Provence - Aix-Marseille I, 2008 |