Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Xin Rong Dai"'
Publikováno v:
Constructive Approximation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c9cdaa463a30222ed6fd1d309c3ac84
https://doi.org/10.1007/s00365-023-09654-0
https://doi.org/10.1007/s00365-023-09654-0
Publikováno v:
Applied and Computational Harmonic Analysis. 52:63-81
In this paper, we study the spectral property of a class of self-affine measures μ R , D on R 2 generated by the iterated function system { ϕ d ( ⋅ ) = R − 1 ( ⋅ + d ) } d ∈ D associated with the real expanding matrix R = ( b 1 0 0 b 2 ) an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1d54bbb6904326be77ba22c00c50731
https://doi.org/10.1016/j.acha.2019.12.001
https://doi.org/10.1016/j.acha.2019.12.001
Autor:
Xin-Rong Dai, Meng Zhu
We show the full structure of the frame set for the Gabor system $\mathcal{G}(g;\alpha,\beta):=\{e^{-2\pi i m\beta\cdot}g(\cdot-n\alpha):m,n\in\Bbb Z\}$ with the window being the Haar function $g=-\chi_{[-1/2,0)}+\chi_{[0,1/2)}$. The strategy of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2350c50b496065214567ad9d2663107
Autor:
Xin-Rong Dai, Meng Zhu
Publikováno v:
Fractals. 29:2150157
The spectral and non-spectral problems of measures have been considered in recent years. For the Cantor measure [Formula: see text], Hu and Lau [Spectral property of the [Formula: see text]ernoulli convolutions, Adv. Math. 219(2) (2008) 554–567] sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e58e3205e3b0f507b902499ad5b6c293
https://doi.org/10.1142/s0218348x21501577
https://doi.org/10.1142/s0218348x21501577
Publikováno v:
Applied Surface Science. 387:469-476
In this work, Ag-decorated porous TiO2 nanowires were successfully synthesized via a facile and low-cost sunlight induced reduction method. The cooperation of sunlight irradiation and ethanol reduction results the formation and decoration of the Ag n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53edc8e2aacd7b6e66444aad710d3cfb
https://doi.org/10.1016/j.apsusc.2016.06.130
https://doi.org/10.1016/j.apsusc.2016.06.130
Autor:
Xin-Rong Dai
Publikováno v:
Mathematische Annalen. 366:1621-1647
The Cantor measures \(\mu _{q, b}\) with \(2 = q, b/q \in {\mathbb Z}\) are few of known singular continuous measures that admits a spectrum. The spectra of Cantor measures \(\mu _{q, b}\) are not unique and their structure is not well-studied. It ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2775f5539e72faa0b50bcd0172899dd8
https://doi.org/10.1007/s00208-016-1374-5
https://doi.org/10.1007/s00208-016-1374-5
Publikováno v:
Geometriae Dedicata. 175:79-91
For $$00\right\} =1$$ and that there is a convex compact set $$A$$ ( $$=A(\lambda )$$ ) with $$\frac{{\mathcal H}^s(A\cap F_\lambda )}{|A|^s}=1$$ . Such a convex compact set $$A$$ is called an “extremal set” of $$F_\lambda $$ with respect to $$s$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a00f5e787a38fe3db1c048e03b0ae6a5
https://doi.org/10.1007/s10711-014-0030-z
https://doi.org/10.1007/s10711-014-0030-z
Publikováno v:
Advances in Mathematics. 259:511-531
For 0 ρ 1 and N > 1 an integer, let μ be the self-similar measure defined by μ ( ⋅ ) = ∑ i = 0 N − 1 1 N μ ( ρ − 1 ( ⋅ ) − i ) . We prove that L 2 ( μ ) has an exponential orthonormal basis if and only if ρ = 1 q for some q > 0 and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2c32e6ef90de507bfdcd10d2c257c23
https://doi.org/10.1016/j.aim.2014.03.026
https://doi.org/10.1016/j.aim.2014.03.026
Autor:
Xin-Rong Dai, Qiyu Sun
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices $a\mathbb{Z}\times b\mathbb{Z}$ and ideal window functions $\chi_I$ on intervals $I$ of length $c$ such that $\{e^{-2\pi i n bt} \chi_I(t- m a):\ (m, n)\in \mathbb
Autor:
Xin-Rong Dai1 Dai_xinrong@hotmail.com, Yang Wang2 ywang@math.msu.edu
Publikováno v:
Constructive Approximation. Jun2010, Vol. 31 Issue 3, p343-358. 16p.