Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Xing-Gang He"'
Publikováno v:
Indiana University Mathematics Journal. 71:913-952
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::417a96da2b5be99168b0b1ebd89cc8fa
https://doi.org/10.1512/iumj.2022.71.8873
https://doi.org/10.1512/iumj.2022.71.8873
Publikováno v:
SSRN Electronic Journal.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a530927d06b9f8cc4ecc532b691da2f
https://doi.org/10.2139/ssrn.4100132
https://doi.org/10.2139/ssrn.4100132
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
Publikováno v:
Journal of Functional Analysis. 277:255-278
Let μ be a Borel probability measure with compact support in R . The μ is called a spectral/Riesz spectral/frame spectral measure if there exists a set Λ ⊂ R such that the family of exponential functions E Λ = { e 2 π i λ x : λ ∈ Λ } form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::420788701db35fc1e4261bf8e3485811
https://doi.org/10.1016/j.jfa.2018.10.017
https://doi.org/10.1016/j.jfa.2018.10.017
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 116:105-131
In this work we study the harmonic analysis of infinite convolutions generated by compatible pairs. We first give some sufficient conditions so that a random infinite convolution μ becomes a spectral measure, i.e., there exists a countable set Λ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b9ab23b7bffe5b392e15bd2ecff73e7
https://doi.org/10.1016/j.matpur.2018.06.002
https://doi.org/10.1016/j.matpur.2018.06.002
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:
Liu He, Xing-Gang He
Publikováno v:
Journal of Functional Analysis. 272:1980-2004
Let { d n , p n } n = 1 ∞ be a sequence of integers so that 0 d n p n for n ≥ 1 . The infinite convolution of probability measures with finite support and equal distribution μ { p n } , { d n } : = δ p 1 − 1 { 0 , d 1 } ⁎ δ ( p 1 p 2 ) −
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79650a6f03cb56a8e8ee335e8bf5c8c5
https://doi.org/10.1016/j.jfa.2016.09.021
https://doi.org/10.1016/j.jfa.2016.09.021
Publikováno v:
Journal of Mathematical Analysis and Applications. 432:725-732
Let μ be a Borel probability measure with compact support in R 2 . μ is called a spectral measure if there exists a countable set Λ ⊂ R 2 such that E Λ = { e − 2 π i 〈 λ , x 〉 : λ ∈ Λ } is an orthonormal basis for L 2 ( μ ) . In th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::114d13d3cfdab23e18992c74cc2b2c27
https://doi.org/10.1016/j.jmaa.2015.06.064
https://doi.org/10.1016/j.jmaa.2015.06.064
Publikováno v:
Advances in Mathematics. 283:362-376
For a finite set D⊂Z and an integer b≥2, we say that (b,D) is compatible with C⊂Z if [e−2πidc/b]d∈D,c∈C is a Hadamard matrix. Let δE=1#E∑a∈Eδa denote the uniformly discrete probability measure on E. We prove that the class of infin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecdf6d88b04d53abd40e66aaa32344ee
https://doi.org/10.1016/j.aim.2015.07.021
https://doi.org/10.1016/j.aim.2015.07.021
Publikováno v:
Constructive Approximation. 42:519-541
We call a set $$K \subset {\mathbb {R}}^s$$ with positive Lebesgue measure a spectral set if $$L^2(K)$$ admits an exponential orthonormal basis. It was conjectured that K is a spectral set if and only if K is a tile (Fuglede’s conjecture). Although
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3576744d778b417dc3d47f0b4c531752
https://doi.org/10.1007/s00365-015-9306-2
https://doi.org/10.1007/s00365-015-9306-2