Detecting Fourier subspaces

DOI10.1007/s00041-015-9444-8zbMath1356.43002arXiv1503.06893OpenAlexW2964089466MaRDI QIDQ305684

Charles A. Akemann, Nikolai Weaver

Publication date: 30 August 2016

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06893

zbMATH Keywords

Fourier transformsignal detectionfinite abelian groupsKadison-Singersmall subspaces spanned by characters

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General theory of (C^*)-algebras (46L05) Enumerative combinatorics (05A99) Irregularities of distribution, discrepancy (11K38) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

• Unnamed Item
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
• Ramanujan Graphs and the Solution of the Kadison-Singer Problem
• A Lyapunov-type theorem from Kadison-Singer

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