Fourier transforms of convolution operators

Charles Swartz

Displaying similar documents to “Fourier transforms of convolution operators”

Recognition and limit theorems for $L_{p}$ -multipliers

Michael Fisher (1974)

Studia Mathematica

Similarity:

Convergence of convolution operators

Charles Swartz (1972)

Studia Mathematica

Similarity:

Ultradistributions and continuous linear operators from Z into Z'

Sousa Pinto, J. (1991)

Portugaliae mathematica

Similarity:

The Fourier transform of distributions and the exchange formula

B. Fisher, Li Chen Kuan, A. Takači (1988)

Matematički Vesnik

Similarity:

On the Fourier transform, Boehmians, and distributions

Dragu Atanasiu, Piotr Mikusiński (2007)

Colloquium Mathematicae

Similarity:

We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.

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.