scientific article; zbMATH DE number 7372047

zbMath1468.42004MaRDI QIDQ5000834

Ismail Mirumbe, John Magero Mango

Publication date: 15 July 2021

Full work available at URL: http://www.ijaamm.com/uploads/2/1/4/8/21481830/v6n3p6_42-50.pdf

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zbMATH Keywords

Fourier transformconvolutiontempered distributionboundary value distribution

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85)

Cites Work

• On defining the distributions \(\delta^k\) and \((\delta')^k\) by fractional derivatives
• The distributional products of particular distributions
• Several results of fractional differential and integral equations in distribution
• Several results of fractional derivatives in \(D'(\mathbb R_+)\)
• A smooth introduction to the wavefront set
• A non-commutative neutrix product of distributions
• On the Distributions δ^k and (δ')^k
• The composition of the distributions and
• Distribution Theory
• ON THE SOLUTION SPACE OF ORDINARY DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS
• Several results on the commutative neutrix product of distributions
• THE PRODUCT OF DISTRIBUTIONS
• On the composition of the distributionsx⁻¹ln|x| and
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