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20232026
most citedDifferential calculus for fully matricial functions I

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

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3 papers

math.FA2026

NC functions over the nc Grassmannian

Hyuga Ito

We explain how to formulate Voiculescu's non-commutative Riemann sphere framework for fully matricial functions \cite{v10} within the theory of nc functions developed by Vinnikov a…

math.OA2024

-valued semi-circular system and the free Poincaré inequality

Hyuga Ito

We characterize -valued semi-circular system in terms of -valued free probabilistic analogue of Poincaré inequality. This is a -valued generalization of Biane's theorem \c…

math.OA2023★ 2 cited

Differential calculus for fully matricial functions I

Hyuga Ito

We will introduce a cyclic derivative for fully (stably) matricial functions and study its basic properties. In particular, we will show the Poincaré lemma for stably matricial fun…