Geodesic
On an Example of Using the Sobolev Quadrature Formulas in Wavelet Theory
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 49-59

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It is shown that Zhamalov’s polynomials give rise to Battle–Lemarie wavelets of arbitrary order; moreover, the Franklin system is not the Battle–Lemarie wavelet of order 1. Symmetry of the scaling functions and wavelets of arbitrary order in the Battle–Lemarie construction is proven. 
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     author = {E. V. Mishchenko},
     title = {On an {Example} of {Using} the {Sobolev} {Quadrature} {Formulas} in {Wavelet} {Theory}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {49--59},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a5/}
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E. V. Mishchenko. On an Example of Using the Sobolev Quadrature Formulas in Wavelet Theory. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 4, pp. 49-59. http://geodesic.mathdoc.fr/item/VNGU_2008_8_4_a5/