Browsing by Author "Takaci, A."
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Article On the composition of the distributions x(+)(-r) and x(+)(mu)(Indian Nat Sci Acad, 2005) Fisher, Brian; Taş, Kenan; Takaci, A.; 4971Let F be a distirbution and let f be a locally summable function. The distribution F (f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) (*) delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta function delta(x). The distribution (x(+)(mu))(-r)(+) and (1 x 1(mu))(-r)(+) are evaluated for mu > 0, r = 1, 2,..., and k mu not equal 1, 2,....
