On Gevrais classes of certain self-adjoint differential operators with degeneration

• Date: 1993
• Main Authors: Izvekov, I. G., Martynenko, E. V., Извеков, И. Г., Мартыненко, Е. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1993
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5969
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Classical spaces of ultra-diffcrentiable funetions on $[-1,1]$ are compared with the Gevrais classes of а self-adjoint differentiable operator whose eigenfunetions an the orthogonal Jacobi polynomials.