Geodesic
Two-scale relations for $B$-$\mathcal L$-splines with uniform knots
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 234-243

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Analogs of scaling relations are constructed for basis exponential splines with uniform knots corresponding to a linear differential operator of arbitrary order with constant coefficients and real pairwise distinct roots of the characteristic polynomial; the construction does not employ techniques from harmonic analysis.
Keywords: basis exponential splines, two-scale relations, scaling function, linear differential operator. 
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     title = {Two-scale relations for $B$-$\mathcal L$-splines with uniform knots},
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E. G. Pytkeev; V. T. Shevaldin. Two-scale relations for $B$-$\mathcal L$-splines with uniform knots. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 234-243. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a20/