TY - JOUR
ID - 23239
TI - Pseudoframe multiresolution structure on abelian locally compact groups
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Azarmi, Hamide
AU - Kamyabi Gol, Radjabali
AU - Janfada, Mohammad
AD - Ph. D. student in Ferdowsi University of Mashhad
AD - Department of pure Mathematics; Ferdowsi University of Mashhad;
AD - Department of pure Mathematics;Ferdowsi University of Mashhad;
Y1 - 2016
PY - 2016
VL - 3
IS - 2
SP - 43
EP - 54
KW - Pseudoframe
KW - generalized multiresolution structure
KW - locally compact group, affine pseudoframe
DO - 10.22072/wala.2016.23239
N2 - Let $G$ be a locally compact abelian group. The concept of a generalized multiresolution structure (GMS) in $L^2(G)$ is discussed which is a generalization of GMS in $L^2(mathbb{R})$. Basically a GMS in $L^2(G)$ consists of an increasing sequence of closed subspaces of $L^2(G)$ and a pseudoframe of translation type at each level. Also, the construction of affine frames for $L^2(G)$ based on a GMS is presented.
UR - https://wala.vru.ac.ir/article_23239.html
L1 - https://wala.vru.ac.ir/article_23239_9bab4fd5ee9537b7e6c4e65984d3cc78.pdf
ER -