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\(L^2\)-boundedness of Hilbert transforms along surfaces and convolution operators homogeneous with respect to a multiple parameter group. (English) Zbl 0374.44003


MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
43A32 Other transforms and operators of Fourier type
44A35 Convolution as an integral transform
43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
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