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Spaces of Dirichlet series with the complete Pick property
[article]

2015
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arXiv
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pre-print

We consider reproducing kernel Hilbert spaces of Dirichlet series with kernels of the form k(s,u) = ∑ a_n n^-s-u̅, and characterize when such a space is a complete Pick space. We then discuss what it means for two reproducing kernel Hilbert spaces to be "the same", and introduce a notion of weak isomorphism. Many of the spaces we consider turn out to be weakly isomorphic as reproducing kernel Hilbert spaces to the Drury-Arveson space H^2_d in d variables, where d can be any number in {1,2,...,

arXiv:1507.04162v2
fatcat:hwgw2i2frzenbd2jmx5pb42zxu