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1. 代表科研项目：
[1] 国家自然科学基金青年项目：球面和球体上加权光滑函数类的逼近特征问题，主持，2019.1-2021.12；
[2] 河北省自然科学基金青年项目：Radon信息有关的算子范数与最优恢复问题的研究，，主持， 2018.1-2020.12；
[3] 国家自然科学基金数学天元基金：光滑函数类的熵数估计,主持，2017.1-2017.12；
[4] 河北省高等学校科学研究计划项目青年项目：带有Dunkl权的函数空间的熵数问题的研究，主持，2017.4-2019.12。
2. 代表论文（SCI）：
[1]Kai Wang*, Yali Wang, Yinying Zhou, Representation and approximation of weighted Besov classes on the sphere, Banach J. Math. Anal.19, 62 (2025)，20 pages.
[2] Xuebo Zhai, Kai Wang*, Heping Wang, Necessary density conditions for sampling and interpolation of certain entire functions with doubling weights, Axioms 14(8) (2025), 584,14 pages.
[3] Xuebo Zhai, Kai Wang*, Heping Wang, Inequalities on weighted Paley-Wiener space with respect to doubling weights and A_?weights, J. Math. Anal. Appl. 535 (2024) 128164,25 pages.
[4]Kai Wang*, Yali Wang, Yinying Zhou, On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness, Int. J. Wavelets Multi. 17(1) (2019) 1850065, 19 pages.
[5]Kai Wang*, Yali Wang, Entropy numbers of functions on [-1,1] with Jacobi weights,J. Math. Anal. Appl.445 （2017）985-997.
[6] Heping Wang, Kai Wang*, Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere, J. Complexity 32(1) (2016) 40-52.
[7] Heping Wang*, Kai Wang, On the norm of the OPED algorithm on the ball, J. Approx. Theory 207 (2016）32-45.
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