Abstract:
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.
Key words and phrases:approximation relations, splines, wavelets, decomposition, reconstruction, embedding, prolangation, calibration relations.
Fulltext:
PDF file (264 kB)