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Browsing School of Mathematics and Statistics by Date published
Now showing items 1-20 of 213
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(Polskiej Akademii Nauk, Instytut Matematczny (Polish Academy of Sciences, Institute of Mathematics), 1999)We obtain conditions on a JB∗-algebra X so that the canonical embedding of X into its associated quasi-invertible manifold has dense range. We prove that if a JB∗ -triple has this density condition then the quasi-invertible ...
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(Polskiej Akademi Nauk, Instytut Matematyczny, 2002)In [1], the authors established a method of determining the structure of the 2-Sylow subgroup of the tame kernel K2(O) for certain quadratic number fields. Specifically, the 4-rank for these fields was characterized in ...
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(Elsevier, 2003-02)There has been recent progress on computing the 4-rank of the tame kernel Full-size image (<1 K) for F a quadratic number field. For certain quadratic number fields, this progress has led to 'density results' concerning ...
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(Springer, 2003-03)In this paper we generalise the classical Julia-Wolff-Carathéodory theorem to holomorphic functions defined on bounded symmetric domains.
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(American Mathematical Society, 2004)Let H∞(B) be the Banach algebra of bounded holomorphic functions on the open unit ball B of a Banach space. We show that the identity operator is an isolated point in the space of composition operators on H∞(B). This answers ...
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(Springer, 2004-04)We give an alternative description of the Carathéodory pseudodistance on a domain D in an arbitrary complex Banach space. This gives a Schwarz lemma for holomorphic maps of the domain.We specialise to the case of a bounded ...
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(American Mathematical Society, 2004-07)We show that the scaling spaces de ned by the polysplines of order p provide approximation order 2p: For that purpose we re ne the re- sults on one dimensional approximation order by L-splines obtained in [2].
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(Canadian Mathematical Society, 2004-09-01)For certain real quadratic number fields, we prove density results concerning 4-ranks of tame kernels. We also discuss a relationship between 4-ranks of tame kernels and 4-class ranks of narrow ideal class groups. Additionally, ...
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(Oxford University Press, 2005)We use a result of Thaine to give an alternative proof of the fact that, for a prime p > 3 congruent to 3 modulo 4, the component e(p+1)/2 of the p-Sylow subgroup of the ideal class group of Q(ζp) is trivial.
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(American Mathematical Society, 2005-04-25)We prove the remaining case of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n = x 2 + Ny 2 for a squarefree integer N.
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(World Scientific Publishing, 2005-06)Let r3(n) be the number of representations of a positive integer n as a sum of three squares of integers. We give two distinct proofs of a conjecture of Wagon concerning the asymptotic value of the mean square of r3(n).
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(Faculty of Agriculture, UCD in association with Teagasc, 2005-07)Field boundaries are important habitats for birds within the agricultural landscape. In this study, bird surveys were carried out during the winter and breeding season on nine farms in the east and south-east of Ireland ...
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(Wiley, 2006-03)The Irish college admissions system involves prospective students listing up to 10 courses in order of preference on their application. Places in third-level educational institutions are subsequently offered to the applicants ...
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(European Mathematical Society, 2006-06)We prove that of all two-dimensional lattices of covolume 1 the hexagonal lattice has asymptotically the fewest distances. An analogous result for dimensions 3 to 8 was proved in 1991 by Conway and Sloane. Moreover, we ...
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(Elsevier, 2007)Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given. In addition, ...
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(Hiroshima University. Department of Mathematics., 2007-02)Our main result states that two signed measures μ and ν with bounded support contained in the zero set of a polynomial P(χ) are equal if they coincide on the subspace of all polynomials of polyharmonic degree NP where ...
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(Springer, 2007-07)Let p,n ∈ N with 2 p ≥ n + 2 , and let I a be a polyharmonic spline of order p on the grid Z × a Z n which satisfies the interpolating conditions I a ( j,am ) = d j ( am ) for j ∈ Z ,m ...
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(Elsevier, 2007-10)Let LN+1 be a linear differential operator of order N + 1 with constant coefficients and real eigenvalues λ 1, ..., λ N+1, let E( N+1) be the space of all C∞-solutions of LN+1 on the real line.We show that for N 2 and ...
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(Elsevier, 2007-10)Let n and k be natural numbers and let S(n,k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum [...] is nonzero for all n>2. We prove this conjecture for all n≢2 and ...
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(Springer, 2007-12)We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n=x2+Ny2 for a squarefree integer N.
Now showing items 1-20 of 213