Geodesic
Cross products of complete orthonormal systems of functions
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 331-340 Cet article a éte moissonné depuis la source Math-Net.Ru

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The orthonormal kernel is a continuous analog for an orthonormal system of functions. The cross product of any two orthonormal systems, complete in $L_2$, is an example of a complete orthonormal kernel with respect to Lebesgue measure. In this note we continue our study of the properties of the cross product of a Haar system with an arbitrary orthonormal system of functions, complete in $L_2$, and totally bounded. We investigate certain properties of the cross product of a Haar system with another Haar system. 
@article{MZM_1974_15_2_a19,
     author = {S. V. Zotikov},
     title = {Cross products of complete orthonormal systems of functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {331--340},
     year = {1974},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a19/}
}
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S. V. Zotikov. Cross products of complete orthonormal systems of functions. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 331-340. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a19/