Toeplitz operators and spectrogram associated with the Sturm-Liouville-Stockwell transform

Abstract

As the harmonic analysis associated with the Sturm-Liouville transform has been extensively investigated and has witnessed a remarkable development, it is natural to study several aspects of the time-frequency analysis associated with the Sturm-Liouville-Stockwell transform (SLST) introduced in \cite{So24}. The aim of this article is to explore some subjects of the time-frequency analysis associated with the SLST, viz, the spectral analysis for the concentration operators and the spectrogram.