科研项目: 1. 国家自然科学基金项目,11961072,Sobolev空间的约化子空间中对偶小波框架理论及应用研究,2020-01-01至2023-12-31,35万元,结题,主持. 2. 陕西省自然科学基础研究计划面上项目,2020JM-547,子空间对偶小波框架理论的一些问题研究,2020-01至2021-12,4万元,结题,主持. 学术论文: 1.Zhang, J.P. Nonhomogeneous Dual Wavelet Frames with the p-Refinable Structure in L2(R+). J. Contemp. Mathemat. Anal., 2021, 56(5): 307–317 . 2.Jian-Ping Zhang, Qiang-Qiang Chang. Characterization of nonhomogeneous dual wavelet frames in Sobolev spaces. ScienceAsia, 2022, 48 (1): 101-106. 3.Jianping Zhang. A Class of Weak Dual Wavelet Frames for Reducing Subspaces of Sobolev Spaces. Journal of Function Spaces, 2022, Article ID 1372184 4.Jianping Zhang, Yunzhang Li. On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of $L^2( \Bbb R^d)$. Acta Mathematica Sinica (English Series), 2017, 33(10): 1339-1351. 5.Jianping Zhang, Chuanli Cai. Multi-wavelet Bessel sequences in Sobolev spaces.Journal of Mathematica Research with Applications, 2018, 38(5): 487-495.
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