Hilbert transforms and the Cauchy integral in euclidean space

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dc.creatorAxelsson, Andreas
dc.creatorKou, Kit Ian
dc.creatorQian, Tao
dc.date2008-09-24
dc.date2009-04-30
dc.date.accessioned2026-07-07T13:09:42Z
dc.date.available2026-07-07T13:09:42Z
dc.descriptionWe generalize the notion of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system. These conjugate functions are in general far from being unique, but under suitable boundary conditions we prove existence and uniqueness of conjugates. The proof also yields invertibility results for a new class of generalized double layer potential operators on Lipschitz surfaces and boundedness of related Hilbert transforms.
dc.descriptionSome minor corrections made
dc.identifierhttps://arxiv.org/abs/0809.4128
dc.identifierhttp://arxiv.org/abs/0809.4128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228824
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject45E05; 31B10
dc.titleHilbert transforms and the Cauchy integral in euclidean space
dc.typetext

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