On the Fourier transform of Lorentz invariant distributions

DOI10.7169/facm/1301497750zbMath1227.46032OpenAlexW2006879195MaRDI QIDQ2430138

Peter Wagner, Norbert Ortner and Peter Wagner

Publication date: 5 April 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1301497750

zbMATH Keywords

Fourier transformKlein-Gordon equationtempered distributionLorentz invariant distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Initial value problems for second-order hyperbolic equations (35L15) Explicit solutions of dynamical problems in solid mechanics (74H05) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (1)

Fourier transformation of \(O(p,q)\)-invariant distributions. Fundamental solutions of ultra-hyperbolic operators

Cites Work

• On the Fourier transforms of retarded Lorentz-invariant functions
• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Sur les distributions invariantes dans le groupe des rotations de Lorentz
• Reflection and transmission of plane waves by layered periodic media
• Functional analysis
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