2002•Journal of Mathematical PhysicsOpen access

Fourier transforms of Lorentz invariant functions

Alexander Wurm, Nurit Krausz, Cécile DeWitt-Morette, Marcus Berg

Abstract

Fourier transforms of Lorentz invariant functions in Minkowski space, with support on both the timelike and the spacelike domains are performed by means of direct integration. The cases of 1+1 and 1+2 dimensions are worked out in detail, and the results for 1+n dimensions are given.

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Key concepts: Minkowski space, Lorentz transformation, Lorentz covariance, Fourier transform, Invariant (physics), Lorentz space, Mathematical analysis, Mathematics