Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Min-wei Tang"'
Autor:
Yan-Song Fu, Min-Wei Tang
Publikováno v:
Forum Mathematicum. 35:201-219
A Borel probability measure on ℝ n {\mathbb{R}^{n}} is called a spectral measure if the Hilbert space L 2 ( μ ) {L^{2}(\mu)} has an orthonormal basis consisting of exponentials. In the present paper we show that, under a mild condition, compat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbe18dbba36c6094763b6894a5af82ba
https://doi.org/10.1515/forum-2022-0213
https://doi.org/10.1515/forum-2022-0213
Publikováno v:
Acta Applicandae Mathematicae. 179
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b60debd10cf4856f6492cf67f17a894
https://doi.org/10.1007/s10440-022-00500-2
https://doi.org/10.1007/s10440-022-00500-2
Autor:
Zhi-Yi Wu, Min-wei Tang
Publikováno v:
Czechoslovak Mathematical Journal. 70:891-903
It is known that a set H of positive integers is a Poincare set (also called intersective set, see I. Ruzsa (1982)) if and only if $${\dim _\mathcal{H}}({X_H}) = 0$$ , where $${X_H}: = \left\{ {x = \sum\limits_{n = 1}^\infty {\frac{{{x_n}}}{{{2^n}}}:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66a054a453446df1e05ac741fe91ce62
https://doi.org/10.21136/cmj.2020.0001-19
https://doi.org/10.21136/cmj.2020.0001-19
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b7e553efd3c5e27cadc00cd34372670
https://doi.org/10.2139/ssrn.4193667
https://doi.org/10.2139/ssrn.4193667
Publikováno v:
Journal of Functional Analysis. 277:3688-3722
Let μ be a probability measure with compact support in R . The measure μ is called a spectral measure if there exists a countable set Λ ⊆ R , called a spectrum of μ, such that the family of exponential functions { e − 2 π i λ x : λ ∈ Λ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cfa5d9fdb3a13545a1e35a3be130fae
https://doi.org/10.1016/j.jfa.2019.05.019
https://doi.org/10.1016/j.jfa.2019.05.019
Autor:
Feng-Li Yin, Min-Wei Tang
Publikováno v:
Journal of Mathematical Analysis and Applications. 461:354-363
Let δ E = 1 # E ∑ a ∈ E δ a denote the uniformly discrete probability measure on a finite set E. We prove that the infinite convolution (Moran measure) μ b , { D k } = δ b − 1 D 1 ⁎ δ b − 2 D 2 ⁎ ⋯ admits an orthonormal basis of ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32c6766025ddb54f0cdc5388dfaa663f
https://doi.org/10.1016/j.jmaa.2018.01.018
https://doi.org/10.1016/j.jmaa.2018.01.018
Publikováno v:
Journal of Functional Analysis. 274:2245-2264
In this paper the authors study the Beurling dimension of Bessel sets and frame spectra of some self-similar measures on R d and obtain their exact upper bound of the dimensions, which is the same given by Dutkay et al. (2011) [8] . The upper bound i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41ebc1c842d00495a773820ce61a0588
https://doi.org/10.1016/j.jfa.2017.08.011
https://doi.org/10.1016/j.jfa.2017.08.011
Autor:
Min-Wei Tang, Zhi-Yi Wu
Publikováno v:
Fractals. 29:2150174
In this paper, we continue the study in our previous work Beurling dimenison and self-similar measures [J. Funct. Anal. 274 (2018) 2245–2264]. We analyze the Beurling dimension of Bessel sequences and frame spectra of self-affine measures on [Formu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b72bc0ed46ce159ed72720d05a36f50
https://doi.org/10.1142/s0218348x21501747
https://doi.org/10.1142/s0218348x21501747
Autor:
Yan-Song Fu, Min-Wei Tang
Publikováno v:
Journal of Mathematical Analysis and Applications. 491:124380
For a positive integer b ≥ 2 and two finite subsets D , C of Z with the same cardinality, we say that the pair ( b − 1 D , C ) is a compatible pair if the matrix [ e 2 π i d c / b ] d ∈ D , c ∈ C is orthogonal. Let { n j } j = 1 ∞ ⊆ N be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53b7e5b7d2c3890e14bff0349e0415fa
https://doi.org/10.1016/j.jmaa.2020.124380
https://doi.org/10.1016/j.jmaa.2020.124380
Autor:
Min-Wei Tang, Si Chen
Publikováno v:
Fractals. 28:2050130
Let [Formula: see text] be the unit matrix and [Formula: see text]. In this paper, we consider the self-similar measure [Formula: see text] on [Formula: see text] generated by the iterated function system [Formula: see text] where [Formula: see text]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d08bd3b7ac4dd7c90ff925dc948b5c42
https://doi.org/10.1142/s0218348x20501303
https://doi.org/10.1142/s0218348x20501303