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arXiv · 1905.07538

Frame measures for infinitely many measures

Fariba Zeinal Zadeh Farhadi·Mohammad Sadegh Asgari·Mohammad Reza Mardanbeigi
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Abstract

For every frame spectral measure $ \mu $, there exists a discrete measure $ \nu $ as a frame measure. Since if $ \mu $ is not a frame spectral measure, then there is not any general statement about the existence of frame measures $ \nu $ for $ \mu $, we were motivated to examine Bessel and frame measures. We construct infinitely many measures $ \mu $ which admit frame measures $ \nu $, and we show that there exist infinitely many frame spectral measures $ \mu $ such that besides having a discrete frame measure, they admit continuous frame measures too.

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Fariba Zeinal Zadeh Farhadi, Mohammad Sadegh Asgari, Mohammad Reza Mardanbeigi. 2019-05-18. Frame measures for infinitely many measures. https://arxiv.org/abs/1905.07538

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