Teaching

Publications
Xin-rong Dai and Qiyu Sun, The abc problem for Gabor systems ,
submitted ( Earlier version in ArXiv.org )
Qiyu Sun, Localized
nonlinear functional equations and two
sampling problems in signal processing , Advances in
Computational Mathematics, Accepted
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 , 366 (2014), 2191-2208.
Qiquan Fang, Chang Eon Shin
and Qiyu Sun, Wiener's
lemma for singular integral operators of Bessel potential type , Monatshefte für Mathematik ,
173(2014), 35—54.
Nader Motee and Qiyu Sun, Measuring
sparsity in spatially interconnected systems ,
in 52^{nd} Conference on Decision and Control, Florence, Italy,
December 10—13, 2013, accepted
M. Z. Nashed , Qiyu Sun and Jun Xian, Convolution
sampling and reconstruction of signals in a reproducing kernel
subspaces, Proceeding of
American Mathematical Society , 141 (2013), 1995—2007.
Chang Eon Shin and
Qiyu Sun, Wiener's
lemma: localization and various approaches , Applied Mathematics-A Journal of Chinese Universities , 28 (2013), 465-484.
Gayatri Ramesh, Elie Atallah and Qiyu Sun,
Recovery
of bilevel causal signals with finite rate of
innovation using positive sampling kernels , In the Proceeding of the 10^{th} International
Conference on Sampling theory and Applications (SAMPTA2013) , 2013,
pp. 129—132.
More
>>>

Research
Activities
·
Visit
Prof. Nader Motee
at Lehigh University in March.

·
The
paper “Rate of
innovation for (non)-periodic signals and optimal lower stability bound for
filtering ” with Jun Xian was assigned Volume 20 (2014), pages 119-134 of
the journal “Journal of Fourier Analysis and
Applications”.

·
Visited
Professor Chang Eon Shin at Sogang University in
March.

·
The
paper ``A
unified formulation of Gaussian vs. sparse stochastic process—Part I ”
with M. Unser and P. D. Tafti was assigned Volume
60 (2014), pages 1945—1962 in the journal IEEE
Transaction on Information Theory .

Professor Xianliang Shi visited in February.
Professor Yingchun Jiang, Guiling Univ ersity of
Electronic Technology,
will visit for one year from February 2014.
The article “ Divergence
of mock and scrambled Fourier series on fractal measures ” with Dorin
Dutkay and Deguang
Han was
assigned Volume 366(2014), pages 2291—2208 of the journal, Transaction of American Mathematical Society .
Attend the
Time-frequency Analysis workshop and gave a talk at Erwin Schrodinger Instite from January13 to 17, 2014.
The article ``Wiener's
lemma for singular integral operators of Bessel potential type ’’ with Qiquan
Fang and Chang Eon Shin was assigned Volume
173(2014), pages 35—54 in the journal Monatshefte für Mathematik .
“retiring you from
the ACOM board effective December 31^{st} 2013”.
Gave talks on
nonlinear frame and sparse reconstruction at Zhejiang University
(December 11, 2013) and Sun yat-sen University
(December 27, 2013).
Attend the Second Guangzhou
International Workshop on Mathematical Imaging (December 14—15,
2013) and the workshop on fractal geometry and related topics (December
20—21, 2013) at Sun yat-sen University.
The paper ``A
unified formulation of Gaussian vs. sparse stochastic process—Part I ”
with M. Unser and P. D. Tafti was accepted by
the journal IEEE Transaction on
Information Theory .
The paper `` Wiener's
lemma: localization and various approaches ” with Chang Eon Shin is published in the journal Applied Mathematics-A Journal of Chinese Universities (Volume 28, Issue 4, pp. 465—484,
2013).
More
>>>

Academic
Services
Numerical
Functional Analysis and Optimization (2010--)
Sampling Theory in Signal and Imaging
Processing (2013--)
Advances
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, 2012)
Special issue on
Wavelet Analysis in PDE and Mathematical Imagery (Applicable
Analysis, Vol
90, No. 8, 2011)
Special
issue on Applied Harmonic Analysis: Wavelets and Sampling (Acta Applicandae Mathematicae , Vol. 107, no. 1-3, 2009)
Special
issue on Frames (Advances in Computational Mathematics, 2003)

Research
Interests
Wiener’s lemma
Compressive Sampling
(Average) Sampling
Theorem
Multiband Wavelets
Shift-invariant Spaces
Frame Theory
Singular Integral
Operator

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