01 خرداد 1403
بياض دارابي

بیاض دارابی

مرتبه علمی: استاد
نشانی:
تحصیلات: دکترای تخصصی / آنالیز ریاضی
تلفن:
دانشکده: دانشکده علوم پایه

مشخصات پژوهش

عنوان
Woven Frames and Their Multiplier in Hilbert Spaces
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
woven frame, multiplier of frames, perturbation, Hilbert-Schmidt
سال
2022
مجله Azerbaijan Journal of Mathematics
شناسه DOI
پژوهشگران اصغر رحیمی ، سارا بساطی ، بیاض دارابی

چکیده

Multipliers are operators which have important applications for signal processing and acoustics. Also, woven and weaving Bessel sequences and frames are very important and practical tools in the applications of frames. In this study, we define the notion of multiplier for woven and weaving frames and we show that the properties of multiplier continuously depend on the chosen symbol sequence m and two chosen woven Bessel sequences. Further, we study the stability of woven frames under perturbation and its connection with multipliers.