教授

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杨蕴韫

  • 职称 ：教授
  • 邮箱 ：yangyunyun@hfut.edu.cn
  • 所属系 ：应用数学系
  • 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，数学物理
科研项目
  • 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。
    安徽省外专项目， Factorization Theorems, Lie Groups and Generalized Functions，2021-2023， 45万元，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，参与，已结题，
研究成果
  • 1. Yang, Y. Distributions in $\mathbb{R}^3$ with a thick Curve, J. Math. Anal. Volume 512, Issue 2 (2022)
    2. Estrada, R. Vindas, J and Yang, Y. The Fourier transform of thick distributions, Analysis and Applications, 19 (4), 621-646 (2021)
    3. 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
    4. 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.
    5. Yang, Y. and Estrada, R., Asymptotic expansions of thick distributions, Asymptotic Analysis, vol. 95, no. 1-2, pp. 1-19, 2015.
    6. Yang, Y. and Estrada, R., Application of the thick distributional calculus, Novi Sad Journal of Mathematics (2014).
    7. Yang, Y. and Estrada, R., Distributions in spaces with thick points, J. Math. Anal. Appl. 401 No.2, 821-835 (2013).
    8. Yang, Y. and Estrada, R., Regularization using different surfaces and the second order derivatives of 1/r, Appl. Anal., 92(2):246-258, 2013.
    9. 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.
    10. Yang, Y. and Estrada, R., Extension of Frahm formulas for $\partial i\partial j(1/r)$, Indian J. Math., Vol. 55, No. 2, 2013, 237-245 (2013)
    11. Yang, Y. A New Method in Distribution Theory with a Non-smooth Framework, Dissertation, Louisiana State University, 2015.

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