Karamata's theory of regular variation
Teoría de variación regular de Karamata
- Date
- 1930 · confidence high
- Place
- Belgrade, Serbia
- Credited to
- Jovan Karamata
- Field
- Knowledge & symbols
What was discovered
Karamata introduced regularly varying functions and proved Tauberian theorems relating the growth of a function to that of its transforms. They are used today in probability theory and analytic number theory.
The founding paper (Mathematica, Cluj, 1930) was written in Belgrade; the place is taken from his career. It is a standard reference in the study of distribution tails (Bingham, Goldie and Teugels).
What it led to
- extreme-value theory and heavy tails in statistics
- Tauberian theorems and the distribution of primes