170933 20260430151735.0 doi 10.1007/s13398-026-01865-x sideral 149031 ART-2026-149031 eng Díaz, P. Universidad de Zaragoza Total positivity of analytic bases through symmetric functions 2026 This paper studies the bidiagonal factorization of the collocation matrices of analytic bases using symmetric functions. Explicit formulas for their initial minors are derived in terms of Schur functions. The structure of these formulas permits establishing sufficient conditions for the total positivity of generic systems of analytic functions. In addition, they have been found to lead to generalizations of the Cauchy identity for certain families of functions. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E41-23R info:eu-repo/grantAgreement/ES/DGA/S60-23R info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00 info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mainar, E. Universidad de Zaragoza (orcid)0000-0002-1101-6230 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 120, 3 (2026) Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 1578-7303 328035 http://zaguan.unizar.es/record/170933/files/texto_completo.pdf Versión publicada 1281273 http://zaguan.unizar.es/record/170933/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:170933 articulos driver 2026-04-30-13:57:22 ARTICLE