http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
SHIFT GENERATED DUAL FRAMES FOR LOCALLY COMPACT ABELIAN GROUPS
Ahmadi, Ahmad,Askari-Hemmat, Ataollah Korean Mathematical Society 2012 대한수학회지 Vol.49 No.3
Let $G$ be a metrizable, ${\sigma}$-compact locally compact abelian group with a compact open subgroup. In this paper we define the Gramian and the dual Gramian operators for shift invariant subspaces of $L^2(G)$ and we use them to characterize shift generated dual frames for shift in- variant spaces, which forms a frame for a subspace of $L^2(G)$. We present necessary and sufficient conditions for which standard dual is a unique SG-dual frame of type I and type II.
Shift generated dual frames for locally compact abelian groups
Ahmad Ahmadi,Ataollah Askari-Hemmat 대한수학회 2012 대한수학회지 Vol.49 No.3
Let G be a metrizable, σ-compact locally compact abelian group with a compact open subgroup. In this paper we dene the Gramian and the dual Gramian operators for shift invariant subspaces of L2(G)and we use them to characterize shift generated dual frames for shift in-variant spaces, which forms a frame for a subspace of L2(G). We present necessary and sufficient conditions for which standard dual is a unique SG-dual frame of type I and type II.