Zobrazeno 1 - 10
of 505
pro vyhledávání: '"Bingham, A. H. A."'
Autor:
Missaoui, Badr, Bingham, Nicholas H.
In this paper, we extend some classical results of the Szego theory of orthogonal polynomials on the unit circle to the infinite-dimensional case.
Externí odkaz:
http://arxiv.org/abs/2305.19025
Autor:
Bingham, N. H.
We focus on the Tauberian work for which Jaap Korevaar is best known, together with its connections with probability theory. We begin (Section 1) with a brief sketch of the field up to Beurling's work. We follow with three sections on Beurling aspect
Externí odkaz:
http://arxiv.org/abs/2206.04515
Autor:
Bingham, N. H., Symons, Tasmin L.
We begin with isotropic Gaussian random fields, and show how the Bochner-Godement theorem gives a natural way to describe their covariance structure. We continue with a study of Mat\'ern processes on Euclidean space, spheres, manifolds and graphs, us
Externí odkaz:
http://arxiv.org/abs/2111.11960
Autor:
Bingham, N. H.
We survey briefly the life and work of P. L. Chebyshev, and his ongoing influence. We discuss his contributions to probability, number theory and mechanics, his pupils and mathematical descendants, and his role as the founding father of Russian mathe
Externí odkaz:
http://arxiv.org/abs/2111.12551
Autor:
Bingham, N. H.
We consider prediction theory for stationary stochastic processes in continuous time. We discuss prediction using the whole (infinite) past, and using only a finite section of the past. The solutions to both these classical problems have long been kn
Externí odkaz:
http://arxiv.org/abs/2111.08560
Autor:
Bingham, N. H., Ostaszewski, A. J.
We are concerned below with the characterization in a unital commutative real Banach algebra $\mathbb{A}$ of continuous solutions of the Go{\l}\k{a}b-Schinzel functional equation (below), the general Popa groups they generate and the associated Goldi
Externí odkaz:
http://arxiv.org/abs/2105.07794
Autor:
Bingham, N. H., Symons, Tasmin L.
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 series was obtained. While this representation works well from a theoret
Externí odkaz:
http://arxiv.org/abs/2101.11809
Autor:
Bingham, N. H., Ostaszewski, A. J.
We survey the connections between extreme-value theory and regular variation, in one and higher dimensions, from the algebraic point of view of our recent work on Popa groups.
Externí odkaz:
http://arxiv.org/abs/2001.05420
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