Communications in Mathematical Physics

, Volume 129, Issue 3, pp 631–641

Harmonic analysis of local operators

  • Detlev Buchholz

DOI: 10.1007/BF02097109

Cite this article as:
Buchholz, D. Commun.Math. Phys. (1990) 129: 631. doi:10.1007/BF02097109


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 respectiveL2-norms. The relevance of this result is illustrated in collision theory.

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Detlev Buchholz
    • 1
  1. 1.II. Institut für Theoretische PhysikUniversität HamburgHamburg 50Federal Republic of Germany

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