Publications

[31] Classical harmonic analysis viewed through the prism of noncommutative geometry, 51 pages. PDF

[30] Sharp functional calculus for the Taibleson operator on non-archimedean local fields (with Christoph Kriegler) , 31 pages. PDF

[29] A characterization of completely bounded normal Jordan ∗-homomorphisms on von Neumann algebras, 9 pages. PDF

[28] Curvature, Hodge-Dirac operators and Riesz transforms, 51 pages. PDF

[27] The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples 

(with Lukas Hagedorn, Christoph Kriegler and Pierre Portal), 133 pages. PDF

[26] Quantum information theory via Fourier multipliers on quantum groups, 136 pages. PDF

[25] On analyticity of semigroups on Bochner spaces and on vector-valued noncommutative Lp-spaces, 19 pages. PDF

[24] Positive contractive projections on noncommutative Lp-spaces and nonassociative Lp-spaces, 32 pages. PDF

[23] Decomposable Fourier multipliers and an operator-algebraic characterization of amenability (with Christoph Kriegler), 66 pages. PDF

[22] Entanglement-assisted classical capacities of some channels acting as radial multipliers on fermion algebras, Journal of Functional Analysis, vol. 288 Issue 5, 2025, Paper N. 110790, 39 pages.  PDF

[21] Spectral triples, Coulhon-Varopoulos dimension and heat kernel estimates, Advances in Mathematics, August 2024, vol. 451 , Paper N. 109794,  48 pages. PDF 

[20] 2-positive contractive projections on noncommutative Lp-spaces (with Yves Raynaud), Journal of Functional Analysis 286 (2024), no. 11, Paper No. 110424, 34 pp. PDF

[19] Nonassociative Lp-spaces and embeddings in noncommutative Lp-spaces, Journal of Mathematical Analysis and Applications 537 (2024), no. 1, Paper No. 128307, 26 pages. PDF

[18] Sobolev algebras on Lie groups and noncommutative geometry, Journal of Noncommutative Geometry 18, no. 2 (2024), 451–500. PDF

[17] Dilations of markovian semigroups of measurable Schur multipliers, 22 pages, Canadian Journal of Mathematics 76 (2024), no. 3, 774-797. PDF

[16] Separating Fourier multipliers and Schur multipliers (with C. Kriegler, C. Le Merdy ans S. Zadeh), Journal of Fourier and Analysis and Applications 30 (2024), no. 1, Paper No. 5, 27 pp. PDF

[15] Contractively decomposable projections on noncommutative Lp-spaces, Journal of Mathematical Analysis and Applications 533 (2024), no. 2, Paper No. 128017, 36 pp.  PDF

[14] Markov dilations of semigroups of Fourier multipliers,  Positivity 26 (2022), no. 5, Paper No. 83, 14 pp. PDF

[13] Projections, multipliers and decomposable maps on noncommutative Lp-spaces (with Christoph Kriegler), Mémoires de la Société Mathématique de France (N.S.) (2023), no. 177, vi+185 pp. PDF (roughly final version)

[12] Riesz transforms, Hodge-Dirac operators and functional calculus for multipliers (with Christoph Kriegler), accepted in Lecture Notes in Mathematics. PDF (arxiv) PDF (roughly final version) LNM volume 2304, 280 pages. 

[11] Dilations of markovian semigroups of Fourier multipliers on locally compact groups, 15 pages, Proceedings of the American Mathematical Society (2020), 2551-2563. PDF

[10] Complementation of the subspace of radial multipliers in the space of Fourier multipliers on Rn, (with Christoph Kriegler), Archiv der Mathematik 112 (2019), no. 1, 93–100. PDF

[9] Dilations of semigroups on von Neumann algebras and noncommutative Lp-spaces, Journal of Functional Analysis, 276, no. 7, 2279-2314 (2019). PDF

[8] Isometric dilations and H^\infty-calculus for bounded analytic semigroups and Ritt operators (with S. Fackler et C. Le Merdy) Transactions of the American Mathematical Society 369, 6899-6933 (2017). PDF

[7] On a conjecture of Pisier on the analyticity of semigroups, Semigroup Forum  91, no. 2, 450-462 (2015). PDF

[6] Dilation of Ritt operators on Lp-spaces, (with C. Le Merdy) , Israel Journal of Mathematics 201, no.1, 373-414 (2014). PDF

[5] Analytic semigroups on vector valued noncommutative Lp-spaces, Studia Mathematica 216, 271-290 (2013). PDF

[4] On Matsaev's conjecture for contractions on noncommutative Lp-spaces, Journal of Operator Theory 69, no. 2, 387-421 (2013). PDF

[3] Square functions for Ritt operators on noncommutative Lp-spaces, Mathematica Scandinavica 113, no. 2, 292-319 (2013). PDF

[2] Unconditionality, Fourier multipliers and Schur multipliers, Colloquium Mathematicum 127, 17-37 (2012). PDF

[1] Noncommutative Figà-Talamanca-Herz algebras for Schur multipliers, Integral Equations and Operator Theory 70, no. 4, 485-510 (2011). PDF

Habilitation à diriger des recherches: Slides of my "Habilitation to Supervise Research" defense : PDF
Reports: PDF PDF PDF

Université de Franche-Comté, 9 december 2024

Past Funding: 

Project 2019-2023 HASCON  (Harmonic Analysis for Semigroups on Commutative and Non-commutative Lp spaces)

Agence nationale de la recherche Jeunes Chercheurs Jeunes Chercheuses

Thèse de doctorat / PhD:

Estimations de normes dans les espaces Lp non commutatifs et applications, novembre 2011. PDF

Mémoire de Master / Master thesis:

Information quantique et espaces d'opérateurs, juin 2008.