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Pierre-Olivier Paris'e

3 papers hereh-index 434 citations6 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • middle author3

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.FA2
  • math.CV1

identity via Semantic Scholar / OpenAlex

collaborators

3 papers

math.FA2021

Power-series summability methods in de Branges-Rovnyak spaces

Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford

We show that there exists a de Branges-Rovnyak space H(b) on the unit disk containing a function f with the following property: even though f can be approximated by…

math.CV2020

Cesàro summability of Taylor series in weighted Dirichlet spaces

Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford

We show that, in every weighted Dirichlet space on the unit disk with superharmonic weight, the Taylor series of a function in the space is (C,α)-summable to the function in the…

math.FA2020

Failure of Approximation of Odd Functions by Odd Polynomials

Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford

We construct a Hilbert holomorphic function space H on the unit disk such that the polynomials are dense in H, but the odd polynomials are not dense in the odd functions in H…

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