数学物理学报(英文版) ›› 1987, Vol. 7 ›› Issue (4): 391-400.

• 论文 • 上一篇    下一篇

ON CHANGING THE VARIABLE IN DISTRIBUTIONS

Brian Fisher1, 李志深2   

  1. 1. Dept. of Math., The University, Leicester IEI 7 RH, UK;
    2. Dept. of Math. & Mech., Lanzhou University, Lanzhou, China
  • 收稿日期:1986-02-05 出版日期:1987-12-25 发布日期:1987-12-25
  • 基金资助:
    Projects supported by the Science Fund of the Chinese Academy of Sciences.

ON CHANGING THE VARIABLE IN DISTRIBUTIONS

Brian Fisher1, Li Zhishen2   

  1. 1. Dept. of Math., The University, Leicester IEI 7 RH, UK;
    2. Dept. of Math. & Mech., Lanzhou University, Lanzhou, China
  • Received:1986-02-05 Online:1987-12-25 Published:1987-12-25
  • Supported by:
    Projects supported by the Science Fund of the Chinese Academy of Sciences.

摘要: This paper proves the existence of the distributions (X+r)+-8, (X+r)--8, (X-r)+-8, (-X+r)--8, (-X-r)--8, (X+r)-s,|X+r|-s and sgn X·|X+r|-s and shows their corresponding expressions by means of the changes of independent variable and the neutrix limits in distributions.

Abstract: This paper proves the existence of the distributions (X+r)+-8, (X+r)--8, (X-r)+-8, (-X+r)--8, (-X-r)--8, (X+r)-s,|X+r|-s and sgn X·|X+r|-s and shows their corresponding expressions by means of the changes of independent variable and the neutrix limits in distributions.