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Some remarks on the extended Hartley-Hilbert and Fourier-Hilbert transforms of Boehmians. (English) Zbl 1275.42004

Summary: We obtain generalizations of Hartley-Hilbert and Fourier-Hilbert transforms on classes of distributions having compact support. Furthermore, we also study the extension to certain spaces of Lebesgue integrable Boehmians.

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
46F10 Operations with distributions and generalized functions
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References:

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