Several products of distributions on R m-Reference-Cited by-同舟云学术

Several products of distributions on R m

Published:1989-12-08 Issue:1871 Volume:426 Page:425-439
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on R 1 have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al . The main aim of this paper is to extend the method to the case for several variables. A number of products such as δ (r) ᴑ δ (s) , x r + ᴑ δ ( s ) and x -r ᴑ δ ( s ) , etc., are considered.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1989.0133

Reference12 articles.

1. Multiplication of distributions and its applications in physics. (In Chinese.) Acta math;Cheng Lin Zhi;Sci.,1984

2. The product of generalized functions. (In Chinese.);Cheng Lin Zhi;J. Math. Res. Exposition,1988

3. Fisher B. 1971 The product of distributions. Q. 22 291-298.

4. The product of the distributions xr and 5(a:). Proc. Carrib. phil;Fisher B.;Soc.,1972

5. The neutrix distribution product xr8ir1)(x). Studia;Fisher B.;Sci. Math. Hungary,1974

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