2019/12/13 by Animesh Bhandari, Saikat Mukherjee, Bhandari, Animesh +1
Engineering · Mathematics · Medicine · #42C15 #47A30 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Ocular and Laser Science Research #Photoacoustic and Ultrasonic Imaging
paper · pdf · doi:10.48550/arxiv.1912.07530
openalex publication_date 2019/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In frame theory literature, there are several generalizations of frame, K-fusion frame presents a flavour of one such generalization, basically it is an intertwined replica of K-frame and fusion frame. K-fusion frames come naturally (having significant applications) when one needs to reconstruct functions (signals) from a large data in the range of a bounded linear operator. Getting inspiration from the concept of weaving frames in Hilbert space, we study the weaving form of K-fusion frames which have significant applications in wireless sensor networks. This article produces various characterizations of weaving K-fusion frames in different spaces. Furthermore, Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize wovenness of the same.