數(shù)學(xué)與統(tǒng)計學(xué)院研究生導(dǎo)師信息
一、電子照片
二、基本情況
姓名:伍海華
性別:男
學(xué)歷學(xué)位:博士
職稱:副教授
職務(wù):無
學(xué)術(shù)兼職:無
研究方向:Loewner微分方程、分形上的調(diào)和分析、Cantor邊界性質(zhì)
電子郵箱:hunaniwa@163.com
三、專業(yè)教學(xué)及教學(xué)成果
主要承擔(dān)《數(shù)學(xué)分析》、《高等數(shù)學(xué)》課程教學(xué);
四、研究方向及研究團(tuán)隊
主要從事Loewner微分方程(復(fù)分析)、分形上的調(diào)和分析(分形幾何)領(lǐng)域的科研工作;
五、科研成果
[1] 國家自然科學(xué)基金委,面上項目,Loewner微分方程和Cantor邊界性質(zhì),12171055,2022-01至2025-12,51萬,主持
[2] 國家自然科學(xué)基金委,青年項目,Loewner微分方程,11701166,2018-01至2020-12, 18萬,主持
[3] H.-P. Li, X.-H. Dong*, P.-F. Zhang, H.-H. Wu, Estimations of the Taylor coefficients of Cauchy transforms of some Hausdorff measures (I), J. Funct. Anal. 2021, 280(7): 108653, 1-32.
[4] H.-H. Wu*, Exact solutions of Loewner equations, Anal. Math. Phys. 2020, 10: 59, 1-10.
[5] H.-H. Wu, Y.-M. Li*, X.-H. Dong, Spectral properties of certain Moran measures with consecutive and collinear digit sets, Forum Math. 2020, 32: 683-692.
[6] X.-H. Dong, W.-H. Ai*, H.-H. Wu, The infinite range of infinite Blaschke product, Proc. Amer. Math. Soc. 2020, 148(1): 193-201.
[7] J.-C. Liu, R.-G. Peng, H.-H. Wu*, Spectral properties of self-similar measures with product-form digit sets, J. Math. Anal. Appl. 2019, 473: 479-489.
[8] H.-H. Wu*, Y.-P. Jiang, X.-H. Dong, Perturbation of the tangential slit by conformal maps, J. Math. Anal. Appl. 2018, 464: 1107-1118.
[9] X.-H. Dong*, K.-S. Lau, H.-H. Wu, Cauchy transforms of self-similar measures: starlikeness and univalence, Trans. Amer. Math. Soc. 2017, 369(7): 4817-4842.
[10] K.-S. Lau, H.-H. Wu*, On tangential slit solution of the Loewner equation, Ann. Acad. Sci. Fenn. Math. 2016, 41: 681-691.
[11] H.-H. Wu, X.-H. Dong*, Driving functions and traces of the Loewner equation, Sci. China Math. 2014, 57(8): 1615-1624.