The structure of shift invariant spaces on a locally compact abelian group

By R. K. Gol, R. R. Tousi. 2008

75 citations recorded by the source corpus.

Abstract We investigate shift invariant subspaces of L 2 ( G ) , where G is a locally compact abelian group. We show, among other things, that every shift invariant space can be decomposed as an orthogonal sum of spaces each of which is generated by a single function whose shifts form a Parseval frame.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c4657e632d08eeb00772407f5af18c2b5f978305

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In Applied Mathematics

1. Victoria Paternostro
2. Carlos Cabrelli

In Mathematical Physics

1. Victoria Paternostro
2. Carlos Cabrelli

Citations in the corpus

• The Structure of Translation-Invariant Spaces on Locally Compact Abelian Groups (2015, unknown): “Raisi Tousi [22–24].”
• Shift Invariant Spaces on LCA Groups (2009, background): “This is stated in the next corollary, which was proved in [12].”