ON THE COMMUTATIVE PRODUCT OF DISTRIBUTIONS

Title & Authors
ON THE COMMUTATIVE PRODUCT OF DISTRIBUTIONS
Fisher Bring; Tas Kenan;

Abstract
The commutative products of the distributions $\small{x^r\;ln^p\;|x|\;and\;x^{-r-1}ln^q\;|x|}$ and of sgn x $\small{x^r\;ln^p\;|x|\;and\;sgn\;x\;x^{-r-1}ln^q\;|x|}$ are evaluated for $r Keywords distribution;delta-function;product of distributions; Language English Cited by 1. THE PRODUCT OF ANALYTIC FUNCTIONALS IN Z',;;;; 대한수학회지, 2008. vol.45. 2, pp.455-466 1. Several results on the commutative neutrix product of distributions, Integral Transforms and Special Functions, 2007, 18, 8, 559 References 1. J. -F. Colombeau, New generalized functions and multiplication of distributions, North-Holland Publishing Co., 1984, xii+375 2. B. Fisher, The product of distributions, Quart. J. Math. Oxford Ser. 22 (1971), no. 2, 291-298 3. B. Fishe, The product of the distributions$x_+^{-r-\frac{1}{2}}$and$x_-^{-r-\frac{1}{2}$, Proc. Cambridge Philos. Soc. 71 (1971), 123-130 4. B. Fishe, The product of the distributions$x^{-r}$and$\mu^{(r-1)}\$(x), Proc. Cambridge Philos. Soc. 72 (1972), 201-204

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