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Convolution in \((W_{M,a}^p)'\)-space. (English) Zbl 0912.46044

Summary: A characterization of convolutors in \((W^p_{M,a})'\)-space is given using the properties of the translate \(\tau_h: W^p_{M,a}\to W^p_{M,a}\). Using the theory of Fourier transform in these spaces, the Fourier transform of convolution is studied.

MSC:

46F12 Integral transforms in distribution spaces
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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References:

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