https://nova.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:10022 Wed 11 Apr 2018 17:09:47 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13005 Wed 11 Apr 2018 17:03:15 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11893 2 provide us with new nice examples of supercongruences of the same kind as those related to the convergent cases. In this paper we manage to prove three of the supercongruences by means of the Wilf-Zeilberger algorithmic technique.]]> Wed 11 Apr 2018 16:09:35 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:7553 Wed 11 Apr 2018 15:33:04 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13027 Wed 11 Apr 2018 15:10:01 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13037 Wed 11 Apr 2018 14:54:35 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:6464 Wed 11 Apr 2018 14:48:32 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13003 Wed 11 Apr 2018 14:25:24 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12996 Wed 11 Apr 2018 14:03:41 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12983 Wed 11 Apr 2018 13:43:16 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12997 Wed 11 Apr 2018 13:40:53 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12984 n.]]> Wed 11 Apr 2018 13:33:40 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13028 M are useful notions only in the reflexive setting. Specifically, we prove that each of the following conditions is necessary and sufficient for a Banach space X to be reflexive: (1) whenever A , A₁, A₂, A₃, ... are nonempty closed convex subsets of X with A = τ_M — lim A_n , then A° = τ_M — lim A°/_n ; (2) τ_M is a Hausdorff topology on the nonempty closed convex subsets of X ; (3) the arg min multifunction ∫ ⇉ {x ∈ X : ∫(x) = inf_x ∫} on the proper lower semicontinuous convex functions on X , equipped with τ_M , has closed graph.]]> Wed 11 Apr 2018 12:35:09 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:12985 **, thus also answering a question raised by S. Simons. Related characterizations and examples are given.]]> Wed 11 Apr 2018 12:30:30 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13035 Wed 11 Apr 2018 12:09:01 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:6449 Wed 11 Apr 2018 11:55:20 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13036 Wed 11 Apr 2018 10:45:36 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:11616 N : ℓ¹(G) → ℓ¹(G/N). It is shown that the kernel of this map may be decomposed as ker(T_N) = R + L, where R is a closed right ideal with a bounded left approximate identity and L is a closed left ideal with a bounded right approximate identity. It follows from this fact that, if I is a closed two-sided ideal in ℓ¹(G), then T_N(I) is closed in ℓ¹(G/N). This answers a question of Reiter.]]> Wed 11 Apr 2018 10:31:58 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13083 Wed 11 Apr 2018 09:33:13 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13021 Wed 11 Apr 2018 09:23:03 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:13011 Wed 11 Apr 2018 09:15:09 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34337 F of a Mahler function F(z) and develop a quick test for the transcendence of F(z) over ℂ(z), which is determined by the value of the eigenvalue λ_F. While our first test is quick and applicable for a large class of functions, our second test, while a bit slower than our first, is universal; it depends on the rank of a certain Hankel matrix determined by the initial coefficients of F(z). We note that these are the first transcendence tests for Mahler functions of arbitrary degree. Several examples and applications are given.]]> Wed 04 Sep 2019 10:06:10 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:8181 Sat 24 Mar 2018 10:45:30 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:31221 H in a totally disconnected, locally compact group G, the contraction subgroups in G and the values of the scale function on G are determined by their restrictions to H. Group theoretic properties intrinsic to the lattice, such as being periodic or infinitely divisible, are then seen to imply corresponding properties of G.]]> Sat 24 Mar 2018 08:43:21 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9987 0, to the case of complex Gaussians in which α is a complex number with positive real part. Such functions represent rotations in the complex plane of real Gaussians. A condition on the rate of decay of analytic extensions of a function ƒ and its Fourier transform ƒ̂ along some pair of lines in the complex plane is shown to imply that ƒ is a complex Gaussian.]]> Sat 24 Mar 2018 08:14:25 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9935 Sat 24 Mar 2018 08:14:20 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:27594 Sat 24 Mar 2018 07:25:17 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:35680 Mon 22 Aug 2022 09:48:35 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:40315 n+1. Using a different pinching function we also obtain the analogous results for contraction by Gauss curvature.]]> Mon 11 Jul 2022 09:13:58 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:41074 Fri 22 Jul 2022 16:57:19 AEST ]]>