Title

Quasi-Extended Asymptotic Functions

Author Info

Todor D. Todorov, Institute of Nuclear Research and Nuclear Energy, BulgariaFollow

Recommended Citation

Postprint version. Published in Bulgarian Journal of Physics, Volume 8, Issue 4, January 1, 1981, pages 313-328.

NOTE: At the time of publication, the author Todor D. Todorov was not yet affiliated with Cal Poly.

Abstract

The class F of "quasi-extended asymptotic functions" introduced in the present paper contains all extended asymptotic functions [8, (3.1)] (in particular, all examples constructed in [9, Sec. 1 ]). But F contains also some new asymptotic functions very similar to tht Schwartz distributions. On the other hand, every two quasi-extended asymptotic functions can be multiplied as opposed to the Schwartz distributions; in particular, the square &# 948;² of an asymptotic function &# 948; similar to Dirac's delta-function is constructed as an example. The connection with the asymptotic functions introduced in [2] and [4] is established.

Disciplines

Mathematics

Copyright

1981 Heron Press Limited.