Scalability of Generalized Frames for Operators

V Kumar, S Malhotra, N Khanna - Journal of Function Spaces, 2024 - Wiley Online Library
In this paper, the Parseval K‐g‐frames are constructed from a given K‐g‐frame by scaling
the elements of the K‐g‐frame with the help of diagonal operators, and these frames are …

Local-to-global frames and applications to the dynamical sampling problem

A Aldroubi, C Cabrelli, U Molter, A Petrosyan - … Volume 6: In Honor of John …, 2021 - Springer
In this paper, we consider systems of vectors in a Hilbert space ℋ H of the form gjk: j∈ J, k∈
K⊆ ℋ {g_ jk: j ∈ J,\, k ∈ K\} ⊆ H, where J and K are countable sets of indices. We find …

[PDF][PDF] CONTROLLED g-FRAMES and THEIR g-DUALS

V Kumar, S Malhotra - pjm.ppu.edu
In this paper, we prove some properties of controlled g-frames. A necessary and sufficient
condition for a controlled g-Bessel sequence to be a controlled g-frame is obtained. In …