Geodesic
Necessary and Sufficient Conditions of the \\Wave Packet Frames in $L^{2}(R^{n})$
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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The main goal of this paper is to consider the necessary and sufficient conditions of wave packet systems to be frames in higher dimensions. We establish the necessary and sufficient conditions for all kinds of wave packet frames of the different operator order in $L^2({R}^n)$ with an arbitrary expanding matrix dilations, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. Our way combines with some techniques in wavelet analysis and time-frequency analysis.
Classification : 42C15, 42C40 
@article{BMMS_2014_37_4_a17,
     author = {Guochang Wu and Dengfeng Li and Huaixin Cao},
     title = {Necessary and {Sufficient} {Conditions} of the {\\Wave} {Packet} {Frames} in $L^{2}(R^{n})$},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a17/}
}
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Guochang Wu; Dengfeng Li; Huaixin Cao. Necessary and Sufficient Conditions of the \\Wave Packet Frames in $L^{2}(R^{n})$. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2014_37_4_a17/