Wiener’s Lemma for Infinite Matrices II

By Qiyu Sun. 2007

64 citations recorded by the source corpus.

In this paper, we introduce a class of infinite matrices related to the Beurling algebra of periodic functions, and we show that it is an inverse-closed subalgebra of ${\mathcal{B}}(\ell^{q}_{w})$, the algebra of all bounded linear operators on the weighted sequence space $\ell^{q}_{w}$, for any 1≤q<∞ and any discrete Muckenhoupt Aq-weight w.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d71057024667dc3a7505ccecb1e7e42e279ec2fd

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In Applied Mathematics

1. Deguang Han
2. M. Zuhair Nashed
3. Qiyu Sun
4. Xin-Rong Dai
5. Chun-Kit Lai
6. Xinggang He
7. Christopher Heil
8. D. Larson

In Mathematical Physics

1. Deguang Han
2. M. Zuhair Nashed
3. Qiyu Sun
4. Xin-Rong Dai
5. Chun-Kit Lai
6. Xinggang He

Citations in the corpus

• Sampling Expansions in Reproducing Kernel Hilbert and Banach Spaces (2009, background): “innite matrices in [ 24 ], implies that A 1 = (b(i;j)) satises”