New Search

Export article

Other versions available

Ellipticity and Fredholmness of pseudo-differential operators on ℓ²(ℤⁿ)


Abstract: The minimal operator and the maximal operator of an elliptic pseudo-differential operator with symbols on Zn×Tn\mathbb {Z}^n\times \mathbb {T}^n are proved to coincide and the domain is given in terms of a Sobolev space. Ellipticity and Fredholmness are proved to be equivalent for pseudo-differential operators on Zn\mathbb {Z}^n. The index of an elliptic pseudo-differential operator on Zn\mathbb {Z}^n is also computed.
Keywords: Pseudo-differential operators / minimal and maximal operators / ellipticity / Fredholmness / index
Other Versions

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

Share this article

Click here to see the statistics on "Proceedings of the American Mathematical Society" .
References (24)
    Cited by 1 articles
      Back to Top Top