Research interests

Analysis my main focus is on noncommutative analysis, in particular problems related to noncommutative Lp -spaces.

Publications & Preprints

1. • Absolute dilation of Fourier multipliers
     with Christian Le Merdy
     to appear in Int. Math. Res. Not. (IMRN)

1. • On the extension of positive maps to Haagerup non-commutative Lp-spaces
     with Christian Le Merdy
     Forum of Mathematics, Sigma (2025), Vol. 13:e65 1–20

1. • Separating Fourier and Schur multipliers
     with Cédric Arhancet, Christoph Kriegler, Christian Le Merdy
     Journal of Fourier Analysis and Applications, Volume 30, article number 5, (2024)

1. • Hankel operators on L^p(ℝ_+) and their p-completely bounded multipliers
     with Loris Arnold and Christian Le Merdy
     Pacific Journal of Mathematics 328 (2024), no.2, 193–216.

1. • S^1-bounded Fourier multipliers on H^1(ℝ) and functional calculus for semigroups
     with Loris Arnold and Christian Le Merdy
     Journal d'Analyse Mathématique, 153, 293–329 (2024).

1. • Weak*-continuity of invariant means on spaces of matrix coefficients
     with Tim de Laat
     Journal of Mathematical Analysis and Applications, 506 (2022) Issue 2.

1. • Surjective separating maps on noncommutative Lp-spaces
     with Christian Le Merdy
     Mathematische Nachrichten,  295 (2022), no. 1, 175–188.

1. • On factorization of separating maps on noncommutative Lp-spaces
     with Christian Le Merdy
     Indiana University Mathematics Journal, 71  (2022), no. 5, 1967–2000.

1. • ℓ1-contractive maps on noncommutative Lp-spaces
     with Christian Le Merdy
     Journal of Operator Theory, 85:2(2021), 417–442.

• On isomorphisms between weighted Lp-algebras
  with Yulia Kuznetsova
  Canadian Mathematical Bulletin  64 (2021), no. 4, 853–866.

•    Markov's problem for k-absolutely monotone polynomials and applications
    with Oleksiy Klurman
    Jaen Journal on Approximation 11(2019), no. 1-2, 139-149.

1. • Diophantine equations for the class of analytic functions
     Online Journal of Analytic Combinatorics, Issue 14 (2019).

1. • Isometric isomorphism of the annihilator of C_0(G) in LUC(G)*
     The Quarterly Journal of Mathematics, 68(2017), Issue 3, 1019–1033.

1. • Bipositive isomorphism of Banach algebras associated with locally compact groups
     with Fereidoun Ghahramani
     Canadian Journal of Mathematics, 69(2017), 3-20. 

1. • Isometric isomorphism of Banach algebras associated with locally compact groups
     Journal of Mathematical Analysis and Applications, 438 (2016), no. 1, 1–13.