硕士生导师

位置: 首页 > 师资队伍 > 硕士生导师 > 正文

杨蕴韫

  • 职称 :教授
  • 电话:
  • 邮箱 :yangyunyun@hfut.edu.cn
  • 职务 :研究员
  • 所属系 :数学系
  • 主讲课程 :高等数学,线性代数,微分几何,数学分析选讲,研究生复分析
  • 研究领域 : 泛函分析,广义函数理论,谱理论、数学物理。
教育经历
  • Louisiana State University 2008-2015
    Ph.D. in Mathematics, Dual Master Candidate in Physics Advisor: Ricardo Estrada & Co-Advisor: Ambar Sengupta, Jorge Pullin University of Wisconsin-Eau Claire 2007-2008 Undergraduate Exchange Program in Mathematics & Physics 暨南大学 2004-2008 本科 数学与应用数学
工作经历
  • Hefei University of Technology Professor in Mathematics 2018-Current West Virginia University Institute of Technology Assistant Professor in Mathematics 2016-2018 Baylor University Postdoctoral Fellow in Mathematics 2015-2016
科研项目
研究成果
  • • Yang, Y. Reconstruction of the one-dimensional thick distribution theory, J. Math. Anal. Appl., Vol 488, Issue 1, 2020. DOI:10.1016/j.jmaa.2020.124034 • Estrada, R. Vindas, J and Yang, Y. The Fourier transform of thick distributions, Anal. Appl., Accepted, 2020. • Fulling, S. and Yang, Y., Some Subtleties in the Relationships among Heat Kernel Invariants, Eigenvalue Distributions, and Quantum Vacuum Energy, Journal of Physics A: Mathematical and Theoretical, Vol 48, No.4, 2015. • Yang, Y. and Estrada, R., Asymptotic expansions of thick distributions, Asymptotic Analysis, vol. 95, no. 1-2, pp. 1-19, 2015. • Yang, Y. and Estrada, R., Application of the thick distributional calculus, Novi Sad Journal of Mathematics, Vol. 44, No. 2, 2014, 121-135. • Yang, Y. and Estrada, R., Distributions in spaces with thick points J. Math. Anal.Appl. 401 No.2, 821-835 (2013). • Yang, Y. and Estrada, R., Regularization using different surfaces and the second order derivatives of 1/r, Appl. Anal., 92(2):246-258, 2013. • Yang, Y. and Estrada, R., The dual of the space of regulated functions in several variables, Sarajevo J. Math., Vol. 9 (22) (2013), 1-20. • Yang, Y. and Estrada, R., Extension of Frahm formulas for ∂i∂j(1/r), Indian J. Math., Vol. 55, No. 2, 2013, 237-245 (2013) • Yang, Y. A New Method in Distribution Theory with a Non-smooth Frame- work, Dissertation, Louisiana State University, 2015. • Thick Distributions on a Curve, Submitted.
社会兼职
其他

主持和参与的基金

中国国家自然科学基金青年项目12001150,厚广义函数理论及应用的研究,

2021-2023,24万元,主持。

美国国家自然科学基金,数学物理,NSF Grant 0968448,量子真空能量研究, 2010- 08-2014-08,216,847.00美元,已结题,参加。