An expansion theorem for q-Sturm-Liouville operators on the whole line

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Pasaoglu Allahverdiev B., TUNA H.

TURKISH JOURNAL OF MATHEMATICS, vol.42, no.3, pp.1060-1071, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 3
  • Publication Date: 2018
  • Doi Number: 10.3906/mat-1705-22
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1060-1071
  • Keywords: q-Sturm-Liouville operator, singular point, Parseval equality, spectral function, eigenfunction expansion
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this work, we establish a Parseval equality and an expansion formula in eigenfunctions for a singular q-Sturm-Liouville operator on the whole line.