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Analytic representations with Theta functions for systems on Z(d) and on S

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arxiv 1502.05309 v1 pith:NCBXYR6Z submitted 2015-02-18 math-ph math.MP

P. Evangelides , C. Lei , A. Vourdas This is my paper · ORCID
classification math-phmath.MP
keywords functionssystemsanalyticthetaconsideredrepresentationstudiedanother
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An analytic representation with Theta functions on a torus, for systems with variables in Z(d), is considered. Another analytic representation with Theta functions on a strip, for systems with positions in a circle S and momenta in Z, is also considered. The reproducing kernel formalism for these two systems is studied. Wigner and Weyl functions in this language, are also studied

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