hrcak mascot   Srce   HID

Izvorni znanstveni članak

Projection-invariants, Gram-Schmidt operators, and wavelets

Jean-Paul Pemba

Puni tekst: engleski, pdf (564 KB) str. 311-328 preuzimanja: 62* citiraj
APA 6th Edition
Pemba, J. (2003). Projection-invariants, Gram-Schmidt operators, and wavelets. Glasnik matematički, 38 (2), 311-328. Preuzeto s https://hrcak.srce.hr/1324
MLA 8th Edition
Pemba, Jean-Paul. "Projection-invariants, Gram-Schmidt operators, and wavelets." Glasnik matematički, vol. 38, br. 2, 2003, str. 311-328. https://hrcak.srce.hr/1324. Citirano 17.10.2021.
Chicago 17th Edition
Pemba, Jean-Paul. "Projection-invariants, Gram-Schmidt operators, and wavelets." Glasnik matematički 38, br. 2 (2003): 311-328. https://hrcak.srce.hr/1324
Harvard
Pemba, J. (2003). 'Projection-invariants, Gram-Schmidt operators, and wavelets', Glasnik matematički, 38(2), str. 311-328. Preuzeto s: https://hrcak.srce.hr/1324 (Datum pristupa: 17.10.2021.)
Vancouver
Pemba J. Projection-invariants, Gram-Schmidt operators, and wavelets. Glasnik matematički [Internet]. 2003 [pristupljeno 17.10.2021.];38(2):311-328. Dostupno na: https://hrcak.srce.hr/1324
IEEE
J. Pemba, "Projection-invariants, Gram-Schmidt operators, and wavelets", Glasnik matematički, vol.38, br. 2, str. 311-328, 2003. [Online]. Dostupno na: https://hrcak.srce.hr/1324. [Citirano: 17.10.2021.]

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
https://hrcak.srce.hr/1324

Posjeta: 273 *