Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/16216
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dc.contributor.authorCastro, L. P.pt
dc.contributor.authorSaitoh, S.pt
dc.contributor.authorYamada, A.pt
dc.date.accessioned2016-10-26T11:31:26Z-
dc.date.available2018-07-20T14:00:56Z-
dc.date.issued2016-12-
dc.identifier.issn1661-8254pt
dc.identifier.urihttp://hdl.handle.net/10773/16216-
dc.description.abstractWe consider a natural representation of solutions for Tikhonov functional equations. This will be done by applying the theory of reproducing kernels to the approximate solutions of general bounded linear operator equations (when defined from reproducing kernel Hilbert spaces into general Hilbert spaces), by using the Hilbert-Schmidt property and tensor product of Hilbert spaces. As a concrete case, we shall consider generalized fractional functions formed by the quotient of Bergman functions by Szegö functions considered from the multiplication operators on the Szegö spaces.pt
dc.language.isoengpt
dc.publisherSpringer; Birkhäuserpt
dc.relationFCT - UID/MAT/04106/2013pt
dc.rightsopenAccesspor
dc.subjectReproducing kernelpt
dc.subjectMoore-Penrose generalized inversept
dc.subjectTikhonov regularizationpt
dc.subjectHilbert-Schmidt operatorpt
dc.subjectTensor product of Hilbert spacespt
dc.subjectGeneralized fractional functionpt
dc.subjectBergman spacept
dc.subjectSzegö spacept
dc.subjectMultiplication operatorpt
dc.titleSolutions of Tikhonov functional equations and applications to multiplication operators on Szegö spacespt
dc.typearticlept
dc.peerreviewedyespt
ua.distributioninternationalpt
degois.publication.firstPage1705pt
degois.publication.issue8pt
degois.publication.lastPage1723pt
degois.publication.titleComplex Analysis and Operator Theorypt
degois.publication.volume10pt
dc.date.embargo2017-12-01T12:00:00Z-
dc.identifier.doi10.1007/s11785-016-0545-4pt
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