Frame measures for infinitely many measures

التفاصيل البيبلوغرافية
العنوان: Frame measures for infinitely many measures
المؤلفون: Farhadi, Fariba Zeinal Zadeh, Asgari, Mohammad Sadegh, Mardanbeigi, Mohammad Reza
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis, 28A80, 28A78, 42B05
الوصف: 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.
Comment: 11 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1905.07538
رقم الأكسشن: edsarx.1905.07538
قاعدة البيانات: arXiv