On the non-commutative neutrix product $\ln x_+\circ x_+^{-s}$
Fisher, Brian ; Kiliçman, Adem ; Damyanov, Blagovest ; Ault, J. C.
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 229-239 / Harvested from Czech Digital Mathematics Library
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The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved to exist for $s=1,2, \ldots$ and is evaluated for $s=1,2$. The existence of the non-commutative neutrix product of the distributions $x_+^{-r}$ and $x_+ ^{-s}$ is then deduced for $r,s= 1,2, \ldots$ and evaluated for $r=s=1$.

Publié le : 1996-01-01
Classification:  46F10 
@article{118828,
     author = {Brian Fisher and Adem Kili\c cman and Blagovest Damyanov and J. C. Ault},
     title = {On the non-commutative neutrix product $\ln x\_+\circ x\_+^{-s}$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {229-239},
     zbl = {0855.46025},
     mrnumber = {1398998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118828}
}

Fisher, Brian; Kiliçman, Adem; Damyanov, Blagovest; Ault, J. C. On the non-commutative neutrix product $\ln x_+\circ x_+^{-s}$. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 229-239. http://gdmltest.u-ga.fr/item/118828/

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