Skip to main content
Log in

Abstract

Pseudo-differential operators on \({\mathbb {Z}}^N\) are introduced. We give the matrix representations with respect to the Fourier basis and the unit impulse basis. Traces of these operators are computed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. Johns Hopkins University Press, Baltimore (1996)

  2. Molahajloo, S., Wong, M.W.: Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \(\mathbb{S}_1\). J. Pseudo-Differ. Oper. Appl. 1(2), 183–205 (2010)

    MATH  MathSciNet  Google Scholar 

  3. Molahajloo, S., Wong, M.W.: Pseudo-differential operators on \(\mathbb{S}_1\). In: New Developments in Pseudo-differential Operators, Oper. Theory Adv. Appl., vol. 189, pp. 297–306. Birkhäuser, Basel (2009)

  4. Trefethen, L.N., Bau III, D.: Numerical Linear Algebra. SIAM, Philadelphia (1997)

    Book  MATH  Google Scholar 

  5. Wong, M.W.: Discrete Fourier Analysis. Birkhäuser, Basel (2011)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jiawei Li.

Additional information

This paper is part of my Ph.D. dissertation and was done at York University, Toronto, ON, Canada.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, J. Finite pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. 6, 205–213 (2015). https://doi.org/10.1007/s11868-015-0111-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11868-015-0111-2

Keywords

Navigation