Beurling slow and regular variation
Bingham, N. H. & Ostaszewski, A. J.
(2014).
Beurling slow and regular variation.
Transactions of the London Mathematical Society,
1(1), 29 - 56.
https://doi.org/10.1112/tlms/tlu002
(2014).
Beurling slow and regular variation.
Transactions of the London Mathematical Society,
1(1), 29 - 56.
https://doi.org/10.1112/tlms/tlu002
We give a new theory of Beurling regular variation ( Part II). This includes the previously known theory of Beurling slow variation ( Part I) to which we contribute by extending Bloom's theorem. Beurling slow variation arose in the classical theory of Karamata slow and regular variation. We show that the Beurling theory includes the Karamata theory.
