Off-diagonal estimates of partial Bergman kernels on S¹-symmetric Kähler manifolds

2024/01/27 by Shabtai, Ood · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2401.15416

Abstract

We establish local asymptotic estimates of partial Bergman kernels on closed, S¹-symmetric Kähler manifolds. The main result concerns the scaling asymptotics of partial Bergman kernels at generic off-diagonal points in which they are not negligible. The case of the two-dimensional sphere is discussed in detail.

Cited by

• Bernstein-Markov measures and Toeplitz theory

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