Geodesic
Orthorecursive decompositions and their properties
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 1, Tome 170 (2019), pp. 62-70

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This paper is devoted to orthorecursive decompositions introduced in 1999, which generalize the notion of orthogonal decompositions. We present main results obtained over the last 20 years about properties of orthorecursive decompositions and indicate some areas for further research.
Keywords: orthorecursive decomposition, orthogonal system, frame
Mots-clés : decomposition, convergence. 
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     title = {Orthorecursive decompositions and their properties},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {170},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_170_a5/}
}
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V. V. Galatenko; T. P. Lukashenko; V. A. Sadovnichy. Orthorecursive decompositions and their properties. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 1, Tome 170 (2019), pp. 62-70. http://geodesic.mathdoc.fr/item/INTO_2019_170_a5/