Several products of distributions on R m
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Publication:3468155
DOI10.1098/rspa.1989.0133zbMath0693.46048OpenAlexW141930716MaRDI QIDQ3468155
Publication date: 1989
Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.1989.0133
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Generalized cosine family ⋮ On the non-commutative neutrix product of Dirac-delta distribution with an infinitely differentiable function ⋮ The convolution and multiplication of one‐dimensional associated homogeneous distributions ⋮ Results on the Colombeau products of the distribution \(x_+^{-r-1/2}\) with the distributions \(x_-^{-k-1/2}\) and \(x_-^{k-1/2}\) ⋮ Further results on Colombeau product of distributions ⋮ On products of distributions in Colombeau algebra ⋮ Multiplication of distributions in any dimension: Applications to \(\delta \)-function and its derivatives ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ Multiplications of distributions in one dimension and a first application to quantum field theory
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