La teoria d'operadors pseudo-diferencials sobre les v-varietats i la seva relació amb les foliacions

• Girbau , Joan ^[1] ; Marcel Nicolau i Reig ^[1]
  1. [1] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     
• Localización: Publicacions matematiques, ISSN 0214-1493, Nº 21, 1980, págs. 33-36
• Idioma: español
• DOI: 10.5565/publmat_21180_09
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• Resumen

  • The authors have developed the theory of pseudo-differential operators over a V-manifold (Here the difficult point is to give a good definition of a pseudo differential operator). The difficulty arise from the fact that pseudo-differential operators are not local and the groups that appear in the definition of a V-manifold are local. By applying this theory, the authors prove the existence of parametrices for elliptic differential operators of any order over a V-manifold and generalize some results from Reinhart concerning foliations with a bundle-like metric.