Quasi-Extended Asymptotic Functions
نویسنده
چکیده
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 construct. ed 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 func. tions can be multiplied as opposed to the Schwartz distributions; in particular, the square ,)2 of an asymptotic function ,) similar to Dirac's delta-function is constructed as example. The connection with the asymptotic functions introduced in [2] and [4} is cstabo 11
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