- 期刊
REGULARIZATION OF DISTRIBUTIONS
摘要
We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.
延伸閱讀
- Lin, C. L. (1978). An Investigation of the Charge Distributions. Chinese Journal of Physics, 16(1), 45-53. https://www.airitilibrary.com/Article/Detail?DocID=05779073-197805-201304190001-201304190001-45-53
- HAŃĆKOWIAK, J. (1999). Some Insights into the Regularization of III-posed Problems. Mathematical Problems in Engineering, 1999(), 161-171. https://doi.org/10.1155/S1024123X99001040
- Wang, L., Oprocha, P., & Wang, H. (2013). DC3 Pairs and the Set of Discontinuities in Distribution Functions. Discrete Dynamics in Nature and Society, 2013(), 467-473-154. https://doi.org/10.1155/2013/673578
- NADARAJAH, S., & KOTZ, S. (2005). A GENERALIZED LOGISTIC DISTRIBUTION. International Journal of Mathematics and Mathematical Sciences, 2005(), 3169-3174-256. https://doi.org/10.1155/IJMMS.2005.3169
- Zheng, Y. (2010). Coordination of a distributive policy [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200017552