Laboratoire de Mathématiques Blaise Pascal

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19932026

most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2014 · math.FAShow all

7 papers · 2 filters

math.FA2014★ 6 cited

Partial regularity and t-analytic sets for Banach function algebras

Joel Feinstein, Raymond Mortini

In this note we introduce the notion of $t$ -analytic sets. Using this concept, we construct a class of closed prime ideals in Banach function algebras and discuss some problems rel…

math.FA2014

A spectral radius type formula for approximation numbers of composition operators

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

For approximation numbers $a_{n} (C_{ϕ})$ of composition operators $C_{ϕ}$ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol $ϕ$ of unifo…

math.FA2014★ 24 cited

Paley-Littlewood decomposition for sectorial operators and interpolation spaces

Christoph Kriegler, Lutz Weis

We prove Paley-Littlewood decompositions for the scales of fractional powers of $0$ -sectorial operators $A$ on a Banach space which correspond to Triebel-Lizorkin spaces and the sc…

math.FA2014★ 52 cited

Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables

Frédéric Bayart, Andreas Defant, Leonhard Frerick +2

Let $H_{\infty}$ be the set of all ordinary Dirichlet series $D = \sum_{n} a_{n} n^{- s}$ representing bounded holomorphic functions on the right half plane. A multiplicative sequ…

math.FA2014

Isometric and invertible composition operators on weighted Bergman spaces of Dirichlet series

Maxime Bailleul

We show that a composition operator on weighted Bergman spaces $A_{μ}^{p}$ is invertible if and only if it is Fredholm if and only if it is an isometry.

math.FA2014

Two remarks on composition operators on the Dirichlet space

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

We show that the decay of approximation numbers of compact composition operators on the Dirichlet space $D$ can be as slow as we wish, which was left open in the cited wo…