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RESEARCH PRODUCT

Beurling ultradistributions of Lp-growth

Carmen FernándezJorge J. BetancorAntonio Galbis

subject

UltradistributionsPure mathematicsFunctional analysisApplied MathematicsConvolution operatorsMathematical analysisConvolutionSurjective functionsymbols.namesakeFourier transformConvolutorssymbolsConvolution equationAnalysisMathematics

description

We study the convolutors and the surjective convolution operators acting on spaces of ultradistributions of Lp-growth. In the case p = 2 we obtain complete characterizations. Some results on hypoellipticity are also included.  2003 Elsevier Science (USA). All rights reserved.

10.1016/s0022-247x(03)00006-4http://dx.doi.org/10.1016/s0022-247x(03)00006-4