On the Fourier transform of Lorentz invariant distributions

Norbert Ortner; Peter Wagner

doi:10.7169/facm/1301497750

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Home > Journals > Funct. Approx. Comment. Math. > Volume 44 > Issue 1 > Article

March 2011 On the Fourier transform of Lorentz invariant distributions

Norbert Ortner, Peter Wagner

Funct. Approx. Comment. Math. 44(1): 133-151 (March 2011). DOI: 10.7169/facm/1301497750

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Abstract

We present a new formula for the Fourier transform of a Lorentz invariant temperate distribution. The formula is applied so as to yield the temperate fundamental solution of the Klein-Gordon operator.

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Norbert Ortner. Peter Wagner. "On the Fourier transform of Lorentz invariant distributions." Funct. Approx. Comment. Math. 44 (1) 133 - 151, March 2011. https://doi.org/10.7169/facm/1301497750

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Published: March 2011

First available in Project Euclid: 30 March 2011

zbMATH: 1227.46032

MathSciNet: MR2807902

Digital Object Identifier: 10.7169/facm/1301497750

Subjects:

Primary: 46F12

Secondary: 35E05 , 35L15 , 74H05

Keywords: Fourier transforms , Klein-Gordon operator , Lorentz invariance , temperate distributions

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Funct. Approx. Comment. Math.

Vol.44 • No. 1 • March 2011

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Norbert Ortner, Peter Wagner "On the Fourier transform of Lorentz invariant distributions," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 44(1), 133-151, (March 2011)

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