On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups
Skrzypczak, Leszek
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 755-763 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1998-01-01
Classification:  22E25,  43A30,  43A80,  46E35 
@article{119050,
     author = {Leszek Skrzypczak},
     title = {On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {755-763},
     zbl = {1060.46512},
     mrnumber = {1715464},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119050}
}

Skrzypczak, Leszek. On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 755-763. http://gdmltest.u-ga.fr/item/119050/

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