On the duality of frames and fusion frames

Temel Bulgular & Veri:In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames.

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Sonuç & Katkı:Finally, we characterize duals of some fusion frames.

🔬Tür:Uygulamalı Anket & Alan Araştırması

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Frame bounds · dual frames · fusion frames

Abstract

Optimal frame bounds play a key role in many applications of frame theory, such as filter banks. In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames. Also, we survey some problems on duals of fusion frames. In particular, we discuss on some essential differences between duals of ordinary frames and fusion frames. Finally, we characterize duals of some fusion frames.

Anahtar kelimeler

Frame bounds dual frames fusion frames dual fusion frames

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Bu Makaleye Atıf Yap

AREFİJAMAAL, A. A., NEYSHABURI, F. A., SHAMSABADİ, M. (2022). On the duality of frames and fusion frames. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 1, 47–56. https://ajindex.com/articles/529815

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Kaynakça (15)

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