An application of the supremum cosine angle between multiplication invariant spaces in L 2 (X; H)

S Kalra, S Sarkar, NK Shukla - Proceedings-Mathematical Sciences, 2024 - Springer
In this article, we study the supremum cosine angle between two multiplication invariant (MI)
spaces and its connection with the closedness of the sum of those spaces. The results …

Reproducing formulas associated to translation generated systems on Nilpotent Lie Groups

S Sarkar, NK Shukla - arXiv preprint arXiv:2301.03152, 2023 - arxiv.org
Let $ G $ be a connected, simply connected, nilpotent Lie group whose irreducible unitary
representations are square-integrable modulo the center. We obtain characterization results …