4 citations · 4 across the 7 of their papers we have counts for
7 papers
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 by infinite convolutions. Given admissible pairs and a sequence $\bn=\{n_{k}\…
Reverse Iterated Function Systems: Density, Dimensions, and -adic Extension
Junjie Miao, Minghui Xu
Strichartz initiated the study of reverse iterated function systems (RIFSs) on integer lattices and the dimensions of their invariant sets. We develop a dimension theory for RIFSs…
Existence, equivalence and spectrality of infinite convolutions in
Junjie Miao, Hongbo Zhao
In this paper, we study existence, equivalence and spectrality of infinite convolutions which may not be compactly supported in -dimensional Euclidean space by manipulating vari…
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 by infinite convolutions. Given infinitely many admissible pairs and a p…
Orthogonal bases of exponential functions for infinite convolutions
Jun Jie Miao, Hong Bo Zhao
Let denot the infinite convolution generated by 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}…
Existence and spectrality of infinite convolutions generated by infinitely many admissible pairs
Junjie Miao, Hongbo Zhao
In this paper, we study the spectrality of infinite convolutions generated by infinitely many admissible pairs which may not be compactly supported, where the spectrality means the…
Spectrality of Infinite Convolutions and Random Convolutions
Wenxia Li, Jun Jie Miao, Zhiqiang Wang
In this paper, we explore spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis.Our approach involves utilizing the integ…