2019/05/18 by Farhadi, Fariba Zeinal Zadeh, Asgari, Mohammad Sadegh, Mardanbeigi, Mohammad Reza
#28A78 #28A80 #42B05 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1905.07538
For every frame spectral measure μ, there exists a discrete measure ν as a frame measure. Since if μ is not a frame spectral measure, then there is not any general statement about the existence of frame measures ν for μ, we were motivated to examine Bessel and frame measures. We construct infinitely many measures μ which admit frame measures ν, and we show that there exist infinitely many frame spectral measures μ such that besides having a discrete frame measure, they admit continuous frame measures too.