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Displaying similar documents to “On a new approach to convolution constructions.”

Convolution equations in the space of Laplace distributions

Maria E. Pliś (1998)

Annales Polonici Mathematici

Similarity:

A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.

A characterization of Fourier transforms

Philippe Jaming (2010)

Colloquium Mathematicae

Similarity:

The aim of this paper is to show that, in various situations, the only continuous linear (or not) map that transforms a convolution product into a pointwise product is a Fourier transform. We focus on the cyclic groups ℤ/nℤ, the integers ℤ, the torus 𝕋 and the real line. We also ask a related question for the twisted convolution.