000170933 001__ 170933 000170933 005__ 20260430151735.0 000170933 0247_ $$2doi$$a10.1007/s13398-026-01865-x 000170933 0248_ $$2sideral$$a149031 000170933 037__ $$aART-2026-149031 000170933 041__ $$aeng 000170933 100__ $$aDíaz, P.$$uUniversidad de Zaragoza 000170933 245__ $$aTotal positivity of analytic bases through symmetric functions 000170933 260__ $$c2026 000170933 5060_ $$aAccess copy available to the general public$$fUnrestricted 000170933 5203_ $$aThis paper studies the bidiagonal factorization of the collocation matrices of analytic bases using symmetric functions. Explicit formulas for their initial minors are derived in terms of Schur functions. The structure of these formulas permits establishing sufficient conditions for the total positivity of generic systems of analytic functions. In addition, they have been found to lead to generalizations of the Cauchy identity for certain families of functions. 000170933 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E41-23R$$9info:eu-repo/grantAgreement/ES/DGA/S60-23R$$9info:eu-repo/grantAgreement/ES/MCIU/PID2022-138569NB-I00$$9info:eu-repo/grantAgreement/ES/MCIU/RED2022-134176-T 000170933 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es 000170933 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000170933 700__ $$0(orcid)0000-0002-1101-6230$$aMainar, E.$$uUniversidad de Zaragoza 000170933 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000170933 773__ $$g120, 3 (2026)$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303 000170933 8564_ $$s328035$$uhttps://zaguan.unizar.es/record/170933/files/texto_completo.pdf$$yVersión publicada 000170933 8564_ $$s1281273$$uhttps://zaguan.unizar.es/record/170933/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000170933 909CO $$ooai:zaguan.unizar.es:170933$$particulos$$pdriver 000170933 951__ $$a2026-04-30-13:57:22 000170933 980__ $$aARTICLE