Search results for "Convolution theorem"

showing 2 items of 2 documents

Elliptic convolution operators on non-quasianalytic classes

2001

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).

AlgebraSemi-elliptic operatorsymbols.namesakeOperator (computer programming)Fourier transformGeneral MathematicssymbolsConvolution theoremConvolution powerShift operatorCircular convolutionConvolutionMathematicsArchiv der Mathematik
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Convolution operators with a fundamental solution of finite order

1995

Overlap–add methodNewtonian potentialGeneral MathematicsMathematical analysisFundamental solutionMethod of fundamental solutionsConvolution theoremConvolution powerCircular convolutionConvolutionMathematicsArchiv der Mathematik
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