Glasnik matematički, Vol. 38 No. 2, 2003.
Izvorni znanstveni članak
Projection-invariants, Gram-Schmidt operators, and wavelets
Jean-Paul Pemba
Sažetak
We introduce some projection-invariants for a normalized sequence in a Hilbert space, based on the smallness of the mutual projections of its elements. We then establish conditions to have the original sequence equivalent to its Gram-Schmidt orthonormalization. In many problems of wavelet-decomposition and reconstruction, the use of orthogonal bases cannot be implemented in the construction of certain filters and other practical features. Then, a quasiorthonormal structure for representation may be the next best alternative by achieving new constraints while we can still arbitrarily approximate the powerful classical orthogonal results.
Ključne riječi
Quasiorthonormality; Gram-Schmidt operator; frame; wavelet
Hrčak ID:
1324
URI
Datum izdavanja:
1.12.2003.
Posjeta: 567 *