Skip to main content
SpringerLink
Log in

A primer on the functional equation f(x + y) = f(x) + f(y)

  • General Article
  • Published:
Resonance Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Suggested Reading

  1. S Banach, Sur l’équation fonctionnelle f(x + y) = f(x) + f(y), Fundamenta Mathematicae, Vol.1, 1920, available at http://matwbn.icm.edu.pl/ksiazki/fm/fm1/fm1115.pdf

    Google Scholar 

  2. B Belhoste, Augustin–Louis Cauchy: A Biography, Springer–Verlag, 1991.

    Book  Google Scholar 

  3. G Hamel, Eine Basis Zahlen und die unstetigen Lösungen der Funktionalgleichung: f(x) + f(y) = f(x + y), Math. Ann., Vol.60, pp.459–462, 1905.

    Article  Google Scholar 

  4. W Sierpiński, Sur l’équation fonctionnelle f(x + y) = f(x) + f(y), Fundamenta Mathematicae, Vol.1, 1920, available at http://matwbn.icm.edu.pl/ksiazki/fm/fm1/fm1114.pdf

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Science, Bangalore, 560 012, India

    Kaushal Verma

Authors
  1. Kaushal Verma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kaushal Verma.

Additional information

Kaushal Verma is with the Department of Mathematics, Indian Institute of Science, Bengaluru. His research interest is in complex analysis.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Verma, K. A primer on the functional equation f(x + y) = f(x) + f(y). Reson 22, 935–941 (2017). https://doi.org/10.1007/s12045-017-0553-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12045-017-0553-3

Keywords

Search

Navigation