5 papers
On the zero sets of the Bargmann Fock space
Shengzhao Hou, Pan Ma
At the critical density, the classical density theory of the Bargmann--Fock space no longer determines exact zero sets. We show that this failure is substantial: the complete radia…
Canonical analytic realizations of hyperbolic determinantal processes
Xiang Fang, Feng Guo, Shengzhao Hou +1
Krishnapur asked whether the invariant hyperbolic determinantal point processes on the disk admit a random analytic zero-set interpretation at noninteger parameters. We construct s…
Hardy-Szegő Point Processes: Large Deviations and Strong Szegő Asymptotics
Qian Ai, Xiang Fang, Shengzhao Hou
We study exponential-scale fluctuations of the Hardy-Szegő zero process, investigated by Peres and Virág in the disk setting, in its upper-half-plane realization, which reveals a d…
Two Regularity Problems on Analytic Tent Spaces
Xiang Fang, Feng Guo, Shengzhao Hou +2
We study two regularity problems on Hardy-type analytic tent spaces on the unit disk: fractional integration and randomization of Taylor coefficients. For fr…
Two Problems in Bergman Spaces with Non-radial Weights
Xiang Fang, Feng Guo, Shengzhao Hou +1
This paper investigates two problems unified by the study of the uniform boundedness of the dilation operators (UBD) T_r f(z)=f(rz), 0<r<1, acting on weighted Bergman spaces A^p_om…