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

Authors: BİLENDER PAŞAOĞLU ALLAHVERDİEV, HÜSEYİN TUNA

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.

Keywords: $q$-Sturm-Liouville operator, singular point, Parseval equality, spectral function, eigenfunction expansion

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