Hilbert transforms and the Cauchy integral in euclidean space
نویسندگان
چکیده
منابع مشابه
A pr 2 00 9 HILBERT TRANSFORMS AND THE CAUCHY INTEGRAL IN EUCLIDEAN SPACE
We generalize the notions of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system. These harmonic conjugates 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...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2009
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm193-2-4