N. Alpay

activity

20202026

most citedOn the Mittag Leffler Bargmann (MLB) transform

2 citations · 5 across the 11 of their papers we have counts for

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Showing 2026 · math.FAShow all

3 papers · 2 filters

math.FA2026

Sharp discrete Hardy constants in low dimensions

Natanael Alpay

For $d \geq 3$ , let $λ_{d}$ denote the sharp constant in the nearest-neighbor Hardy inequality on $Z^{d}$ with Euclidean inverse-square weight for functions vanishing at the origi…

math.FA2026

The sharp discrete Hardy inequality on $Z^{3}$

Natanael Alpay

We determine the sharp constant in the nearest-neighbor Hardy inequality on $Z^{3}$ with the Euclidean inverse-square weight. For every finitely supported function $u:\Z^3\to\C$, we…

math.FA2026

Representer Theorem in Complex Reproducing Kernel Hilbert Spaces with Applications to Fock and Hardy Spaces and Superoscillations

Natanael Alpay, Antonino De Martino, Kamal Diki

We introduce a complex-valued counterpart of the representer theorem in machine learning. We study several learning and minimization problems in reproducing kernel Hilbert spaces (…

Sharp discrete Hardy constants in low dimensions

The sharp discrete Hardy inequality on Z3

Representer Theorem in Complex Reproducing Kernel Hilbert Spaces with Applications to Fock and Hardy Spaces and Superoscillations

The sharp discrete Hardy inequality on $Z^{3}$