Huseynov, Adil2024-09-292024-09-2920130379-40241841-7744https://doi.org/10.7900/jot.2011apr03.1923https://hdl.handle.net/20.500.14619/8088We establish existence of a spectral matrix for Sturm-Liouville operators on two-sided unbounded time scales. A Parseval equality and an expansion in eigenfunctions formula are obtained in terms of the spectral matrix. Our results unify and extend the well-known results on existence of a spectral matrix for Sturm-Liouville operators on the whole real axis and their discrete analogs.eninfo:eu-repo/semantics/openAccessTime scaledelta derivativenabla derivativespectral matrixParseval equalityexpansion in eigenfunctionsArticle10.7900/jot.2011apr03.19232-s2.0-84881535233511Q13370WOS:000326992700002Q3