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Emmanuel Fricain

Professeur des universités CNU : SECTION 25 - MATHEMATIQUES
  • +33 3 20 33 60 90
    • Bâtiment M2, bureau 301
    Schools and divisions Research topics Mathematics Keywords Functional Analysis, complex analysis of one variable, operator theory.

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    Research field

    My field of research concerns the functional analysis and my works are mainly devoted on two themes: on one hand the complex function theory (of one variable) and on the other hand the operator theory. I am interested in the interaction between these two theories and my resarch concerns more precisely:

    • Reproducing Kernel Hilbert Spaces of analytic functions, and more particulary the model spaces and the de De Branges--Rovnyak spaces.

    • Blaschke products.

    • Operator theory: Sz.-Nagy--Foias functional models, strictly singular operators, composition operators, Toeplitz operators,...

    • Müntz spaces.

    • Dirichlet series and spaces of Dirichlet series.

    You could find a details of my research in the frame "Research axes".

    PhD Supervision

    Romain Lebreton (2022–) : co-supervised with Isabelle Chalendar (Professor at Université Paris-Est).
    Embedings of discret semi-groups of operators into continuous semi-groups of operators.

    Rim Alhajj (2017–2021).
    Toeplitz operators and composition operators on De Branges--Rovnyak spaces.
    Defended at Lille on June 8, 2021.

    Muath Karaki (2011–2015) : co-supervised with Javad Mashreghi (Professor at Université Laval, Québec).
    Composition operators on model spaces.
    Defended at Lille, January 2015. Current position: Muath Karaki is Assistant Professor at An-Najah, Nablus University (Palestine).

    Alain Blandignères (2010–2013).
    Carleson measures and embeddings for analytic functions spaces.
    Defended at Lyon, November 2013. Current situation: Alain Blandignères is Professeur Agrégé in "classes préparatoires" (an intensive two-year post-baccalauréat course designed to prepare the best students for entry into the Grandes Ecoles).

    Nicolas Chevrot (2003–2006) : co-supervised with Isabelle Chalendar.
    Description of shift invariant subspaces and basis of reproducing kernels for some spaces of vector-valued analytic functions.
    Defended at Lyon, December 2006. Current situation: Nicolas Chevrot is Professeur Agrégé in "classes préparatoires" at Lycée Juliette Récamier at Lyon (the "classes préparatoires" are an intensive two-year post-baccalauréat course designed to prepare the best students for entry into the Grandes Ecoles).