On the Completeness of the System of Airy Functions

Khanmamedov A. K., Abbasova K. E.

AZERBAIJAN JOURNAL OF MATHEMATICS, vol.10, no.2, pp.105-109, 2020 (ESCI) identifier identifier

  • Nəşrin Növü: Article / Article
  • Cild: 10 Say: 2
  • Nəşr tarixi: 2020
  • jurnalın adı: AZERBAIJAN JOURNAL OF MATHEMATICS
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Səhifə sayı: pp.105-109
  • Adres: Bəli

Qısa məlumat

Airy functions A(i) (x - lambda(n)); n = 1, 2, ... , are considered, where lambda(n) is the eigenvalue of the one-dimensional Stark operator on the semi-axis with finite potential and Dirichlet boundary condition at zero. The completeness in the space L-2 (0,infinity) of a system of functions {Ai (x - lambda(n))}(n=1)(infinity) is proved.