Geodesic
Spline-wavelet decomposition on an interval
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 107-131

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For the second-order spline-wavelet representations on an interval, the conditions under which decomposition operators are independent of the order of elementary operations are established. The notion of $k$-localized systems of functionals is introduced, and the operator set in which the embedding operator possesses a unique left inverse is studied. 
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     author = {Yu. K. Dem'yanovich and B. G. Vager},
     title = {Spline-wavelet decomposition on an interval},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a7/}
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Yu. K. Dem'yanovich; B. G. Vager. Spline-wavelet decomposition on an interval. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 107-131. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a7/