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Jun 28, 2018
06/18

by
Alexander Borichev; Andreas Hartmann; Karim Kellay; Xavier Massaneda

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We study multiple sampling, interpolation and uniqueness for the classical Fock spaces in the case of unbounded multiplicities. We show that there are no sequences which are simultaneously sampling and interpolating when the multiplicities tend to infinity.

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1508.03932

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19

Jun 28, 2018
06/18

by
Alexander Borichev; Andreas Hartmann; Karim Kellay; Xavier Massaneda

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We study multiple sampling, interpolation and uniqueness for the classical Fock space in the case of unbounded mul-tiplicities.

Topics: Mathematics, Complex Variables

Source: http://arxiv.org/abs/1508.03003

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4.0

Jun 28, 2018
06/18

by
Anton Baranov; Yurii Belov; Alexander Borichev

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We describe the radial Fock type spaces which possess Riesz bases of normalized reproducing kernels and which are (are not) isomorphic to de Branges spaces in terms of the weight functions.

Topics: Functional Analysis, Complex Variables, Mathematics

Source: http://arxiv.org/abs/1512.09001

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14

Jun 28, 2018
06/18

by
Alexander Borichev; Artur Nicolau; Pascal J. Thomas

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Following Gorkin, Mortini, and Nikolski, we say that an inner function $I$ in $H^\infty$ of the unit disc has the WEP property if its modulus at a point $z$ is bounded from below by a function of the distance from $z$ to the zero set of $I$. This is equivalent to a number of properties, and we establish some consequences of this for $H^\infty/IH^\infty$. The bulk of the paper is devoted to "wepable" functions, i.e. those inner functions which can be made WEP after multiplication by a...

Topics: Functional Analysis, Mathematics, Complex Variables

Source: http://arxiv.org/abs/1508.01336