501 citations
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- Centre for Research in Astrophysics of QuébecCA44 papers
- Centre National de la Recherche ScientifiqueFR41 papers
- Université de MontréalCA19 papers
- Canadian Institute for Theoretical AstrophysicsCA16 papers
- University of TorontoCA16 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR14 papers
- Grand Accélérateur National d'Ions LourdsFR13 papers
- European Southern ObservatoryCL12 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT12 papers
- Max Planck Institute for AstronomyDE12 papers
- Space Telescope Science InstituteUS12 papers
- CEA Paris-SaclayFR11 papers
7 papers · 2 filters
Analytic capacity and holomorphic motions
Stamatis Pouliasis, Thomas Ransford, Malik Younsi
We study the behavior of the analytic capacity of a compact set under deformations obtained by families of conformal maps depending holomorphically on the complex parameter. We sho…
Letter to the editor: A short complex-variable proof of the Titchmarsh convolution theorem
Thomas Ransford
The Titchmarsh convolution theorem is a celebrated result about the support of the convolution of two functions. We present a simple proof based on the canonical factorization theo…
Hadamard multipliers on weighted Dirichlet spaces
Javad Mashreghi, Thomas Ransford
The Hadamard product of two power series is obtained by multiplying them coefficientwise. In this paper we characterize those power series that act as Hadamard multipliers on all w…
Approximation by random complex polynomials and random rational functions
Paul M. Gauthier, Thomas Ransford, Simon St-Amant +1
We investigate random compact sets with random functions defined thereon, such as polynomials, rational functions, the pluricomplex Green function and the Siciak extremal function.…
Covering numbers and schlicht functions
Philippe Drouin, Thomas Ransford
We determine upper and lower bounds for the minimal number of balls of a given radius needed to cover the space of schlicht functions.
Outer functions and uniform integrability
Javad Mashreghi, Thomas Ransford
We show that, if is an outer function and , then the set of functions is unifo…