Frame theory for binary vector spaces

DOI10.2140/INVOLVE.2009.2.589zbMath1195.15001arXiv0906.3467OpenAlexW2097584600MaRDI QIDQ970226

My Le, Matthew Tobin, Bernhard G. Bodmann, Letty Reza, Mark Tomforde

Publication date: 10 May 2010

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3467

zbMATH Keywords

framesfinite-dimensional vector spacesParseval framesbinary numbersbinary vector spacesfinite-dimensional real or complex Hilbert spaces

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) General harmonic expansions, frames (42C15) Stone spaces (Boolean spaces) and related structures (06E15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

Binary Parseval frames from group orbits ⋮ Frames over finite fields: basic theory and equiangular lines in unitary geometry ⋮ What is odd about binary Parseval frames? ⋮ Binary frames with prescribed dot products and frame operator ⋮ Bridging erasures and the infrastructure of frames ⋮ Signal reconstruction from frame and sampling erasures ⋮ Dual finite frames for vector spaces over an arbitrary field with applications

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