[Authors]
Kirushev, V.A.; Malozemov, V.N.; Pevnyi, A.B.
[Title]
Wavelet decomposition of the discrete periodic spline space
[Abstract]
The orthogonal basis in the space $S_r^m$ of discrete periodic
splines is constructed. Wavelet decomposition of the space
$S_r^m$ with $m=2^t$ is obtained using this basis.
Recurrence formulae for transformation from orthogonal
expansion to wavelet expansion and recurrence formulae for
inverse transformation are derived.
[AMS Subj-class]
42C10 Fourier series in special orthogonal functions
[Contact e-mail]
malv@gamma.math.spbu.ru (V. N. Malozemov)
[Comments]
13 pages, 1 picture, in Russian
[Files]
99-20.ps.gz 58k - Compressed PostScript