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Heisenberg's commutation relations and Pontryagin's duality theorem

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References

  1. Godement, R.: Memoire sur la théorie des characters, dans les groupes localement compacts unimodulaire. J. Math. pures et appl.30, 1–110 (1951).

    Google Scholar 

  2. Hewitt, E., andK. A. Ross: Abstract harmonic analysis. Berlin-Göttingen-Heidelberg: Springer 1963.

    Google Scholar 

  3. Loomis L. H.: Abstract harmonic analysis. New York 1953.

  4. — Note on a theorem of Mackey. Duke Math. J.19, 641–645 (1952).

    Google Scholar 

  5. Mackey, G. W. A theorem of Stone and von Neumann. Duke Math. J.16 313–326 (1949).

    Google Scholar 

  6. Nakamura, M., andH. Umegaki: Heisenberg's commutation relation and the Plancherel theorem. Proc. Japan Academy37, 239–242 (1961).

    Google Scholar 

  7. Segal, I. E. Equivalences of measure spaces. Amer. J. Math.73, 275–313 (1951).

    Google Scholar 

  8. Neumann, J. v.: Die Eindeutigkeit der Schrödingerschen Operatoren. Math. Ann.104, 570–578 (1931).

    Google Scholar 

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  1. Queen Elizabeth College, The University of London, London, UK

    S. Sankaran

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  1. S. Sankaran
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Sankaran, S. Heisenberg's commutation relations and Pontryagin's duality theorem. Math Z 98, 387–390 (1967). https://doi.org/10.1007/BF01112656

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  • DOI: https://doi.org/10.1007/BF01112656

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