K. Krishna

activity

20212026

collaborators

Showing 2025Show all

3 papers · 1 filter

math.FA2025

A Functional Version of the Sparsity Theorem

K. Mahesh Krishna

Celebrated breakthrough sparsity theorem obtained independently by Donoho and Elad \textit{[Proc. Natl. Acad. Sci. USA, 2003]} and Gribonval and Nielsen \textit{[IEEE Trans. Inform…

math.OC2025

Continuous Donoho-Elad Spark Uncertainty Principle

K. Mahesh Krishna

Donoho and Elad \textit{[Proc. Natl. Acad. Sci. USA, 2003]} introduced the important notion of the spark of a frame, using which they derived a fundamental uncertainty principle. B…

math.FA2025

p-adic Ghobber-Jaming Uncertainty Principle

K. Mahesh Krishna

Let ${τ_{j}}_{j = 1}^{n}$ and ${ω_{k}}_{k = 1}^{n}$ be two orthonormal bases for a finite dimensional p-adic Hilbert space $X$ . Let $M, N \subseteq {1, \dots, n}$ be such that \b…