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math.NA2025
Multicentric representation of piecewise constant holomorphic functions and Hermite interpolation
Olavi Nevanlinna, Tiina Vesanen
In multicentric representation of piecewise holomorphic functions one combines Lagrange interpolation at roots of a polynomial with convergent power series of as the "coeff…
math.FA2025
Metric functionals and weak convergence
Armando W. Gutiérrez, Olavi Nevanlinna
We introduce a notion of weak convergence in arbitrary metric spaces. Metric functionals are key in our analysis: weak convergence of sequences in a given metric space is tested ag…