10 citations · 16 across the 14 of their papers we have counts for
6 papers · 2 filters
The Goldie Equation: III. Homomorphisms from Functional Equations
N. H. Bingham, A. J. Ostaszewski
This is the second of three sequels to arXiv1407.4089 -- the third of the resulting quartet -- concerning the real-valued continuous solutions of the multivariate Goldie functional…
Homomorphisms from Functional Equations: The Goldie Equation, II
N. H. Bingham, A. J. Ostaszewski
In this sequel to arXiv1407.4089 by the second author, we extend to multi-dimensional (or infinite-dimensional) settings the Goldie equation arising in the general regular variatio…
On subadditive functions upper bounded on a 'large' set
N. H. Bingham, Eliza Jablonska, Wojciech Jablonski +1
The notion of a shift-compact set in an abelian topological group plays a significant role in functional equations and inequalities, especially so since each Borel set that is…
Beyond Erdős-Kunen-Mauldin: Singular sets with shift-compactness properties
H. I. Miller, L. Miller-Van Wieren, A. J. Ostaszewski
The Kestelman-Borwein-Ditor Theorem asserts that a non-negligible subset of which is Baire (=has the Baire property, BP) or measurable is shift-compact: it contains so…
Sequential regular variation: extensions of Kendall's theorem
N. H. Bingham, A. J. Ostaszewski
Regular variation is a continuous-parameter theory; we work in a general setting, containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases.…
General Regular Variation, Popa Groups and Quantifier Weakening
N. H. Bingham, A. J. Ostaszewski
We introduce general regular variation, a theory of regular variation containing the existing Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifyin…