01 خرداد 1403
بياض دارابي

بیاض دارابی

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

مشخصات پژوهش

عنوان
Frame-related operators for woven frames
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
: Analysis operator; frame operator; synthesis operator; woven frames; sum of woven
سال
2019
مجله International Journal of Wavelets Multiresolution and Information Processing
شناسه DOI 10.1142/S0219691319500103
پژوهشگران اصغر رحیمی ، زهرا صمدزاده ، بیاض دارابی

چکیده

A new notion in frame theory has been introduced recently under the name wovenweaving frames by Bemrose et al. In the study of frames, some operators like analysis, synthesis, Gram and frame operators play the central role. In this paper, for the first time, we introduce and define these operators for woven-weaving frames and review some of their properties. In continuation, we investigate the effect of different types of operators on the woven frames and their bounds. Also, we provide some conditions that shows sum of woven frames are also woven frames. Finally, we apply these properties with an example.