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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On theta functions and Weil’s generalized Poisson summation formula.


Author: Jun-ichi Hano
Journal: Trans. Amer. Math. Soc. 141 (1969), 195-210
MSC: Primary 14.51
DOI: https://doi.org/10.1090/S0002-9947-1969-0249439-5
MathSciNet review: 0249439
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References [Enhancements On Off] (What's this?)

  • Pierre Cartier, Quantum mechanical commutation relations and theta functions, Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965) Amer. Math. Soc., Providence, R.I., 1966, pp. 361–383. MR 0216825
  • Goro Shimura, Moduli and fibre systems of abelian varieties, Ann. of Math. (2) 83 (1966), 294–338. MR 199190, DOI https://doi.org/10.2307/1970434
  • André Weil, Introduction à l’étude des variétés kählériennes, Publications de l’Institut de Mathématique de l’Université de Nancago, VI. Actualités Sci. Ind. no. 1267, Hermann, Paris, 1958 (French). MR 0111056
  • André Weil, Sur certains groupes d’opérateurs unitaires, Acta Math. 111 (1964), 143–211 (French). MR 165033, DOI https://doi.org/10.1007/BF02391012

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Article copyright: © Copyright 1969 American Mathematical Society