scientific article; zbMATH DE number 927999

DOI<1017::AID-MMA723>3.0.CO;2-2 10.1002/(SICI)1099-1476(19960910)19:13<1017::AID-MMA723>3.0.CO;2-2zbMath0854.41029MaRDI QIDQ4893666

Jones, D. S.

Publication date: 18 September 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hadamard's finite part

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (9)

Defining compositions of \(x_+^\mu\), \(|x|^\mu\), \(x^{-s}\), and \(x^{-s}\ln |x|\) as neutrix limit of regular sequences ⋮ The composition of the distributions x−λlnsx− and x+−r/λ ⋮ Foundational aspects of singular integrals ⋮ On the neutrix composition of the distributionsx^−sln^m|x| andx^r ⋮ On powers of the compositions involving Dirac-delta and infinitely differentiable functions ⋮ Hadamard regularization ⋮ Interpretations of some distributional compositions related to Dirac delta function via Fisher's method ⋮ Lorentzian regularization and the problem of point-like particles in general relativity ⋮ Further results on the neutrix composition of distributions involving the delta function and the function \(\cosh _ + ^{ - 1}( {{x^{1/r}} + 1} )\)

Cites Work

• On the square of x^-n
• Infinite integrals and convolution
• Generalised functions and their convolution
• THE CONVOLUTION OF GENERALIZED FUNCTIONS
• Products and compositions with the Dirac delta function

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