George Marinescu

activity

20162024

collaborators

6 papers

math.CV2024

Toeplitz operators and zeros of square-integrable random holomorphic sections

Alexander Drewitz, Bingxiao Liu, George Marinescu

We use the theory of abstract Wiener spaces to construct a probabilistic model for Berezin-Toeplitz quantization on a complete Hermitian complex manifold endowed with a positive li…

math.CV2024

Zeros of random holomorphic sections of big line bundles with continuous metrics

Turgay Bayraktar, Dan Coman, George Marinescu +1

Let $X$ be a compact normal complex space, $L$ be a big holomorphic line bundle on $X$ and $h$ be a continuous Hermitian metric on $L$ . We consider the spaces of holomorphic sectio…

math.CV2024

Induced Fubini-Study metrics on strictly pseudoconvex CR manifolds and zeros of random CR functions

Hendrik Herrmann, Chin-Yu Hsiao, George Marinescu +1

Let $X$ be a compact strictly pseudoconvex embeddable Cauchy-Riemann manifold and let $T_{P}$ be the Toeplitz operator on $X$ associated with a first-order pseudodifferential operato…

math.CV2023

Restricted spaces of holomorphic sections vanishing along subvarieties

Dan Coman, George Marinescu, Viêt-Anh Nguyên

Let $X$ be a compact normal complex space of dimension $n$ and $L$ be a holomorphic line bundle on $X$ . Suppose that $Σ = (Σ_{1}, \dots, Σ_{ℓ})$ is an $ℓ$ -tuple of distinct irreduci…

math.CV2023

Semi-classical spectral asymptotics of Toeplitz operators on strictly pseudodonvex domains

Chin-Yu Hsiao, George Marinescu

On a relatively compact strictly pseudoconvex domain with smooth boundary in a complex manifold of dimension $n$ we consider a Toeplitz operator $T_{R}$ with symbol a Reeb-like vecto…

math.FA2016

Hankel and Berezin type operators on weighted Besov spaces of holomorphic functions on polydiscs

Anahit V. Harutyunyan, George Marinescu

In this paper we consider the generalized little Hankel and Berezin type operators on Besov spaces of holomorphic functions on polydiscs and give results about the boundedness of t…