on Orthogonal Polynomials and q-Series, 2015
- Cheng Cheng, Yingchun Jiang and
Qiyu Sun, Sampling
and Galerkin reconstruction in reproducing
kernel spaces, submitted
- Nader Motee and Qiyu Sun, Sparsity
measures for spatially decaying systems , submitted
- Xin-rong Dai and Qiyu Sun, The abc problem for Gabor systems, Memoirs of American Mathematical
Society, accepted ( Earlier version in ArXiv.org)
- Xin-rong Dai and Qiyu Sun, Spectral
measures with arbitrary Hausdorff dimensions,
Journal of Functional Analysis,
- Qiyu Sun, Localized
nonlinear functional equations and two sampling problems in signal
processing, Advances in Computational Mathematics,
- Michael Unser, Pouya D. Tafti and Qiyu Sun, A
unified formulation of Gaussian vs. sparse stochastic process—Part I,
IEEE Transaction on Information
Theory, 60(2014), 1945--1962.
- Dorin Ervin Dutkay, Deguang Han and
Qiyu Sun, Divergence
of mock and scrambled Fourier series, Transaction
of American Mathematical Society,
- Qiyu Sun and Jun Xian,
of innovation for (non-)periodic signals and optimal lower stability
bound for filtering,
Journal of Fourier Analysis and Applications, 20(2014), 119—134.
- Qiquan Fang, Chang Eon Shin
and Qiyu Sun, Wiener's
lemma for singular integral operators of Bessel potential type, Monatshefte für Mathematik,
- Joint paper Spectral
measures with arbitrary Hausdorff dimensions with Xin-rong
Dai was published in Journal of
Functional Analysis, 268(2015), 2464—2477.
- Attend AMS Central Spring Sectional Meeting, Michigan
State University, March 2015 and gave a talk on
special session on frames, wavelets and their applications.
a talk in Wayne State University, March 2015
Professor Chang Eon Shin at Sogang University in
as a member of Technical program committee for SampTa2015.
AMS annual meeting in San Antonio, January 2015 and gave a talk on SIAM Minisymposium on multivariate signals processing and
AMS Fall Eastern Sectional meeting ar Dalhousie
University, Halifax, Canada, Oct. 2014 and gave a talk on the special session
on Sampling Theory.
Chen, Hunan Normal University, will visit the department for one year.
project “Nonlinear sampling theory: Sparsity, Localization and Optimization”
is awarded by DMS, the National Science Foundation. (08/2014).
Qiquan Fang, Zhejiang University of Science and Techonology, will visit the department for one year.
International Conference on Harmonic Analysis and Applications (Nankai University, June 10-16, 2014)
5th International Conference on Computational Harmonic Analysis (May 19—23, 2014,
Vanderbilt University) and gave a keynote speech.
Prof. C. Micchelli
visited in April.
The paper “Localized
nonlinear functional equations and two sampling problems in signal processing”
was assigned Volume 40 (2014), pages 415—458 of the journal “Advances in
Functional Analysis and Optimization (2010--)
- Sampling Theory in Signal and Imaging
in Computational Mathematics (2006--2013)
- Special issue on
Operator Algebra and Representation: Frames, Wavelets and Fractals
(Numerical Functional Analysis and Optimization, Volume 33, No.7—9,
- Special issue on
Wavelet Analysis in PDE and Mathematical Imagery (Applicable
Analysis, Vol 90, No. 8, 2011)
issue on Applied Harmonic Analysis: Wavelets and Sampling (Acta Applicandae Mathematicae, Vol. 107, no. 1-3, 2009)
issue on Frames (Advances in Computational Mathematics, 2003)
- Wiener’s lemma
- Compressive Sampling
- (Average) Sampling
- Multiband Wavelets
- Shift-invariant Spaces
- Frame Theory
- Singular Integral
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