CRYSTALLOGRAPHIC MULTIWAVELETS IN L2 (Rd)

被引：1

作者：

Molter, Ursula ^{[1
,2
]}

Quintero, Alejandro ^{[3
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, Fac Ciencias Exactas & Nat, Ciudad Univ,Pabellon 1, RA-1428 Buenos Aires, Argentina

[2] CONICET UBA, IMAS, Buenos Aires, DF, Argentina

[3] Univ Nacl Mar del Plata, Dept Matemat, Fac Ciencias Exactas & Nat, FUNES 3350, RA-7600 Mar Del Plata, Buenos Aires, Argentina

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 06期

关键词：

Crystal groups; wavelets; multiresolution analysis; refinement equations; ORTHONORMAL BASES; WAVELETS;

D O I：

10.1090/proc/13998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the scaling function of a crystal Multiresolution Analysis in terms of the vector-scaling function for a Multiresolution Analysis associated to a lattice. We give necessary and sufficient conditions in terms of the symbol matrix in order that an associated crystal wavelet basis exists.

引用

页码：2445 / 2460

页数：16

共 20 条

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