Geodesic
On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 755-763.

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In this paper the absolute convergence of the group Fourier transform for the Heisenberg group is investigated. It is proved that the Fourier transform of functions belonging to certain Besov spaces is absolutely convergent. The function spaces are defined in terms of the heat semigroup of the full Laplacian of the Heisenberg group.
Classification : 22E25, 43A30, 43A80, 46E35
Keywords: Besov spaces; Heisenberg groups; group Fourier transform 
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     author = {Skrzypczak, Leszek},
     title = {On {Besov} spaces and absolute convergence of the {Fourier} transform on {Heisenberg} groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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     number = {4},
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     zbl = {1060.46512},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_1998__39_4_a10/}
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Skrzypczak, Leszek. On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 755-763. http://geodesic.mathdoc.fr/item/CMUC_1998__39_4_a10/