75664 20200108100344.0 doi 10.1016/j.jfa.2017.10.010 sideral 104964 ART-2018-104964 eng (orcid)0000-0003-2453-7841 Abadias, L. Universidad de Zaragoza Generalized Cesaro operators, fractional finite differences and Gamma functions 2018 Access copy available to the general public Unrestricted In this paper, we present a complete spectral research of generalized Cesaro operators on Sobolev-Lebesgue sequence spaces. The main idea is to subordinate such operators to suitable Co-semigroups on these sequence spaces. We introduce that family of sequence spaces using the fractional finite differences and we prove some structural properties similar to classical Lebesgue sequence spaces. In order to show the main results about fractional finite differences, we state equalities involving sums of quotients of Euler's Gamma functions. Finally, we display some graphical representations of the spectra of generalized Cesaro operators. info:eu-repo/grantAgreement/ES/DGA/E64 info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.637 2018 MATHEMATICS 28 / 313 = 0.089 2018 Q1 T1 2.47 2018 Analysis 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-9430-343X Miana, P.J. Universidad de Zaragoza 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 274, 5 (2018), 1424-1465 J. funct. anal. JOURNAL OF FUNCTIONAL ANALYSIS 0022-1236 568871 http://zaguan.unizar.es/record/75664/files/texto_completo.pdf Postprint 82283 http://zaguan.unizar.es/record/75664/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:75664 articulos driver 2020-01-08-09:29:23 ARTICLE