K. Krishna

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20212026

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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.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…