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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 -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 on the unit disk such that the polynomials are dense in , but the odd polynomials are not dense in the odd functions in …