Xing-Gang He

activity

20112014

L^{2} (μ)

22 citations · 22 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2014

On Spectral N-Bernoulli Mmeasure

Xin-Rong Dai, Xing-Gang He, Ka-Sing Lau

For $0 < ρ < 1$ and $N > 1$ an integer, let $μ$ be the self-similar measure defined by $μ (\cdot) = \sum_{i = 0}^{N - 1} \frac{1}{N} μ (ρ^{- 1} (\cdot) - i)$ . We prove that $L^{2} (μ)$ has an exponential or…

math.FA2012

Spectral property of Cantor measures with consecutive digits

Xin-Rong Dai, Xing-Gang He, Chun-Kit Lai

We consider equally-weighted Cantor measures $μ_{q, b}$ arising from iterated function systems of the form $b^{- 1} (x + i)$ , $i = 0, 1, ..., q - 1$ , where $q < b$ . We classify the $(q, b)$ so…

math.FA2011★ 22 cited

Exponential spectra in $L^{2} (μ)$

Xing-Gang He, Chun-Kit Lai, Ka-Sing Lau

Let $μ$ be a Borel probability measure with compact support. We consider exponential type orthonormal bases, Riesz bases and frames in $L^{2} (μ)$ . We show that if $L^{2} (μ)$ admits an…

On Spectral N-Bernoulli Mmeasure

Spectral property of Cantor measures with consecutive digits

Exponential spectra in L2(μ)

Exponential spectra in $L^{2} (μ)$