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RESEARCH PRODUCT

Elliptic convolution operators on non-quasianalytic classes

Carmen FernándezAntonio GalbisM. Gómez

subject

AlgebraSemi-elliptic operatorsymbols.namesakeOperator (computer programming)Fourier transformGeneral MathematicssymbolsConvolution theoremConvolution powerShift operatorCircular convolutionConvolutionMathematics

description

For those nonquasianalytic classes in which an extension of the classical Borel's theorem holds we show that every elliptic convolution operator is the composition of a translation and an invertible ultradifferential operator. This answers a question asked by Chou in: La transformation de Fourier complexe et l'equation de convolution, LNM 325, Berlin-Heidelberg-New York (1973).

yearjournalcountryeditionlanguage
2001-02-01Archiv der Mathematik
https://doi.org/10.1007/s000130050553