On rational transformations of linear functionals:: direct problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:298

Article

Alfaro, M ; Marcellán, F ; Peña, A ; Rezola, ML

关键词: orthogonal polynomials;    recurrence relations;    spectral transformations;    linear functionals;   

DOI  :  10.1016/j.jmaa.2004.04.065

来源: Elsevier

【 摘 要 】

Let u be a quasi-definite linear functional. We find necessary and sufficient conditions in order to the linear functional upsilon satisfying (x - (a) over tilde )u = lambda(x - a)upsilon be a quasi-definite one. Also we analyze some linear relations linking the polynomials orthogonal with respect to u and v. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free