Orthonormal bases of compactly supported wavelets. II: Variations on a theme. (English) Zbl 0792.42018

Daubechies, Ingrid

SIAM J. Math. Anal. 24, No. 2, 499-519 (1993).

Summary: Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Part I of this series [Comm. Pure Appl. Math. 41, 901-996 (1988; Zbl 0644.42026)]. (See also the following review).

MSC:

42C40	Nontrigonometric harmonic analysis involving wavelets and other special systems
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

multiresolution analysis; orthonormal bases; wavelets with compact support; symmetry; regularity; scaling function

Citations:

Zbl 0653.42033; Zbl 0792.42020; Zbl 0644.42026