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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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