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Harmonic analysis of local operators

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Abstract

The spatial Fourier transforms of local operators are analysed. It is shown that the Fourier components for non-zero momentum form weakly square integrable functions in all states of finite energy. Moreover, there hold uniform bounds for the respectiveL 2-norms. The relevance of this result is illustrated in collision theory.

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Authors and Affiliations

  1. II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-2000, Hamburg 50, Federal Republic of Germany

    Detlev Buchholz

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  1. Detlev Buchholz
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Communicated by H. Araki

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Buchholz, D. Harmonic analysis of local operators. Commun.Math. Phys. 129, 631–641 (1990). https://doi.org/10.1007/BF02097109

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  • DOI: https://doi.org/10.1007/BF02097109

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