16 citations · 94 across the 35 of their papers we have counts for
17 papers · 1 filter
Integral Representations of Ultraspherical Polynomials II
N. H. Bingham, Tasmin L. Symons
In the first part, by the first author's work of 1972, an integral representation for an ultraspherical polynomial of higher index in terms of one of lower index and an infinite se…
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…
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…
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…
Dimension walks on
N. H. Bingham, Tasmin L. Symons
We verify that the established one- and two-step recurrences for positive definite functions on spheres extend to the spatio-temporal case.
Set Theory and the Analyst
N. H. Bingham, A. J. Ostaszewski
This survey is motivated by specific questions arising in the similarities and contrasts between (Baire) category and (Lebesgue) measure -- category-measure duality and non-duality…