Geodesic
Wiener’s lemma for twisted convolution and Gabor frames
Gröchenig, Karlheinz1 ; Leinert, Michael2
1 Department of Mathematics, The University of Connecticut, Storrs, CT 06269-3009
2 Institut für Angewandte Mathematik, Fakultät für Mathematik, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Journal of the American Mathematical Society, Tome 17 (2004) no. 1, pp. 1-18

Voir la notice de l'article provenant de la source American Mathematical Society

We prove non-commutative versions of Wiener’s Lemma on absolutely convergent Fourier series (a) for the case of twisted convolution and (b) for rotation algebras. As an application we solve some open problems about Gabor frames, among them the problem of Feichtinger and Janssen that is known in the literature as the “irrational case”.
DOI : 10.1090/S0894-0347-03-00444-2

Gröchenig, Karlheinz 1 ; Leinert, Michael 2

1 Department of Mathematics, The University of Connecticut, Storrs, CT 06269-3009
2 Institut für Angewandte Mathematik, Fakultät für Mathematik, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany 
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Gröchenig, Karlheinz; Leinert, Michael. Wiener’s lemma for twisted convolution and Gabor frames. Journal of the American Mathematical Society, Tome 17 (2004) no. 1, pp. 1-18. doi: 10.1090/S0894-0347-03-00444-2

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