Zak transform, Weil representation, and integral operators with theta-kernels

DOI10.1155/S1073792804133540zbMath1063.22019arXivmath/0311080OpenAlexW3102208183MaRDI QIDQ4658952

Tatyana Barron, Yuriĭ A. Neretin

Publication date: 21 March 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311080

zbMATH Keywords

theta functionZak transformsymplectic matrixWeil-Brezin transformPotapov transformation

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Integral operators (47G10) Analysis on other specific Lie groups (43A80)

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Quantization of abelian varieties: distributional sections and the transition from Kähler to real polarizations

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