Zeros of Random Functions Generated with de Branges Kernels

dc.creatorAntezana, Jorge Abel
dc.creatorMarzo, Jordi
dc.creatorOlsen, Jan-Fredrik
dc.date.accessioned2017-07-12T15:15:42Z
dc.date.accessioned2018-11-06T12:42:32Z
dc.date.available2017-07-12T15:15:42Z
dc.date.available2018-11-06T12:42:32Z
dc.date.created2017-07-12T15:15:42Z
dc.date.issued2017-04
dc.identifierAntezana, Jorge Abel; Marzo, Jordi; Olsen, Jan-Fredrik; Zeros of Random Functions Generated with de Branges Kernels; Oxford University Press; International Mathematics Research Notices; 2017; 8; 4-2017; 2284-2299
dc.identifier1073-7928
dc.identifierhttp://hdl.handle.net/11336/20214
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1869328
dc.description.abstractWe study the point process given by the set of real zeros of random series generated with orthonormal bases of reproducing kernels of de Branges spaces. We find an explicit formula for the intensity function in terms of the phase of the Hermite?Biehler function generating the de Branges space. We prove that the intensity of the point process completely characterizes the underlying de Branges space.
dc.languageeng
dc.publisherOxford University Press
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnw078
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectGAUSSIAN ANALYTIC FUNCTIONS
dc.subjectDE BRANGES SPACES
dc.subjectFIRST INTENSITY FUNCTION
dc.subjectKAC-RICE FORMULA
dc.titleZeros of Random Functions Generated with de Branges Kernels
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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