On reducing submodules of Hilbert modules with Sn-invariant kernels
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.10.025
Abstract: Fix a bounded domain Omega subset of C-n and a positive definite kernel K on Omega, both invariant under G(n), the permutation group on n symbols. Let H subset of Hol(Omega) be the Hilbert module… read more here.
Keywords: hilbert module; reducing submodules; invariant kernels; hilbert modules ... See more keywords
Corrigendum to “Representations of ⁎-semigroups associated to invariant kernels with values adjointable operators” [Linear Algebra Appl. 486 (2015) 361–388]
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DOI: 10.1016/j.laa.2020.01.009
Abstract: Abstract We correct a lemma by adding the assumption that the ordered ⁎-space is Archimedean and show by counter-examples and examples that this is needed. read more here.
Keywords: semigroups associated; representations semigroups; associated invariant; invariant kernels ... See more keywords
Isomorphisms between determinantal point processes with translation-invariant kernels and Poisson point processes
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DOI: 10.1017/etds.2020.123
Abstract: Abstract We prove the Bernoulli property for determinantal point processes on $ \mathbb{R}^d $ with translation-invariant kernels. For the determinantal point processes on $ \mathbb{Z}^d $ with translation-invariant kernels, the Bernoulli property was proved by… read more here.
Keywords: point processes; point; translation invariant; invariant kernels ... See more keywords