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Applications of APTARABOLDITALICO(APTARABOLDITALICp,APTARABOLDITALICq)†invariant distributions

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  • Norbert Ortner
  • Peter Wagner

Abstract

In this sequel to the article , a criterion for the regularity of fundamental solutions of differential operators with positive symbol is proved in analogy to Hörmander's criteria, see . It implies that the temperate fundamental solution of the operator [∂,∂]2+1 is not regular. Furthermore, a formula for the convolution of two O(p,q)†invariant distributions is presented, and, finally, L. Schwartz' question on the surjectivity of linear partial differential operators with constant coefficients on the space OM is completely answered in the case of O(p,q)†invariant differential operators.

Suggested Citation

  • Norbert Ortner & Peter Wagner, 2017. "Applications of APTARABOLDITALICO(APTARABOLDITALICp,APTARABOLDITALICq)†invariant distributions," Mathematische Nachrichten, Wiley Blackwell, vol. 290(17-18), pages 2995-3005, December.
    • Handle: RePEc:bla:mathna:v:290:y:2017:i:17-18:p:2995-3005
    DOI: 10.1002/mana.201700027
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