Hong-Bo Zhao

activity

20232026

collaborators

5 papers

math.FA2026

Spectrality and eigen sets of infinite convolutions and random measures generated by admissible pairs

Jun Jie Miao, Hongbo Zhao

In this paper, we construct a class of random measures $μ^{n}$ by infinite convolutions. Given admissible pairs ${(N_{k}, B_{k})}_{k = 1}^{m}$ and a sequence $\bn=\{n_{k}\…

math.FA2025

Existence, equivalence and spectrality of infinite convolutions in $R^{d}$

Junjie Miao, Hongbo Zhao

In this paper, we study existence, equivalence and spectrality of infinite convolutions which may not be compactly supported in $d$ -dimensional Euclidean space by manipulating vari…

math.FA2025

Existence and Spectrality of random measures generated by infinite convolutions

Junjie Miao, Hongyi Liu, Hongbo Zhao

In this paper, we construct a class of random measures $μ^{n}$ by infinite convolutions. Given infinitely many admissible pairs ${(N_{k}, B_{k})}_{k = 1}^{\infty}$ and a p…

math.FA2024

Orthogonal bases of exponential functions for infinite convolutions

Jun Jie Miao, Hong Bo Zhao

Let $μ$ denot the infinite convolution generated by ${(N_{k}, B_{k})}_{k = 1}^{\infty}$ given by $$ μ=δ_{{N_1}^{-1}B_1}\astδ_{(N_1N_2)^{-1}B_2}\ast\dots\astδ_{(N_1N_2\cdots N_k)^{-1}B_k}…

math.FA2023

Existence and spectrality of infinite convolutions generated by infinitely many admissible pairs