Quantum theta functions and Gabor frames for modulation spaces

DOI10.1007/s11005-009-0306-7zbMath1175.42017arXiv0809.2716OpenAlexW3106158292MaRDI QIDQ835669

Franz Luef, Yuri I. Manin

Publication date: 31 August 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2716

zbMATH Keywords

theta functionsGabor framesWeil representationquantum tori

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) General harmonic expansions, frames (42C15) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Lie groups (22E99) Modulation and demodulation in information and communication theory (94A14)

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