Geodesic
Sufficient conditions for a multidimensional system of periodic wavelets to be a frame
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 47, Tome 480 (2019), pp. 48-61 Cet article a éte moissonné depuis la source Math-Net.Ru

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Multidimensional periodic wavelet systems with matrix dilations are studied. Sufficient conditions under which such a system is Bessel are established. The conditions are given in terms of Fourier coefficients. A way of constructing a wavelet Riesz basis that starts with a suitable sequence of trigonometric polynomials is provided. 
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P. A. Andrianov. Sufficient conditions for a multidimensional system of periodic wavelets to be a frame. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 47, Tome 480 (2019), pp. 48-61. http://geodesic.mathdoc.fr/item/ZNSL_2019_480_a2/

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