Dynamical Sampling for Shift-preserving Operators

التفاصيل البيبلوغرافية
العنوان: Dynamical Sampling for Shift-preserving Operators
المؤلفون: Aguilera, A., Cabrelli, C., Carbajal, D., Paternostro, V.
سنة النشر: 2019
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Functional Analysis
الوصف: In this note, we solve the dynamical sampling problem for a class of shift-preserving operators $L:V\to V$ acting on a finitely generated shift-invariant space $V$. We find conditions on $L$ and a finite set of functions of $V$ so that the iterations of the operator $L$ on the functions produce a frame generator set of $V$. This means that the integer translations of the generators form a frame of $V$.
Comment: 18 pages. To appear in Appl. Comput. Harmon. Anal
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1912.10348
رقم الأكسشن: edsarx.1912.10348
قاعدة البيانات: arXiv