2 papers
math.FA2025
Ramanujan sums in signal recovery and uncertainty principle inequalities
Sahil Kalra, Niraj K. Shukla
This paper explores the perfect reconstruction property of filter banks based on Ramanujan sums and their applications in signal recovery. Originally introduced by Srinivasa Ramanu…
math.FA2022
An Application of the supremum cosine angle between multiplication invariant spaces in $L^2(X; \mc H)$
Sudipta Sarkar, Sahil Kalra, Niraj K. Shukla
In this article, we describe the supremum cosine angle between two multiplication invariant (MI) spaces and its connection with the closedness of the sum of those spaces. The resul…