Biorthogonal wavelets, MRA's and shift-invariant spaces

• Autorzy: Marcin Bownik , Gustavo Garrigós
• Języki publikacji: EN

Abstrakty

EN

We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].

Kategorie tematyczne

• 42C40: Wavelets and other special systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 160
• Numer: 3
• Strony: 231-248

Daty

wydano

2004

Twórcy

autor

Marcin Bownik

• Department of Mathematics, University of Michigan, 525 East University, Ann Arbor, MI 48109, U.S.A.

autor

Gustavo Garrigós

• Departamento de Matemáticas C-XV, Universidad Autónoma de Madrid, Ciudad Universitaria Cantoblanco, 28049, Madrid, Spain

Identyfikatory

DOI

10.4064/sm160-3-3