3 papers
math-ph2026
Localization of quantum systems at Liouville tori
Ood Shabtai
We consider a collection of pairwise commuting quantum observables in the setting of Berezin--Toeplitz quantization of a closed Kähler manifold and assume that the Arnold--Liouvill…
math.CV2025
On the distribution kernels of Toeplitz operators on CR manifolds
Chin-Yu Hsiao, Ood Shabtai
We study the distribution kernel of a Toeplitz operator associated with a classical pseudodifferential operator on a compact, embeddable, strictly pseudoconvex CR manifold. The mai…
math.CV2024
Off-diagonal estimates of partial Bergman kernels on -symmetric Kähler manifolds
Ood Shabtai
We establish local asymptotic estimates of partial Bergman kernels on closed, -symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman…