Cambridge University Press по журналам "Mathematika"
Отображаемые элементы 120 из 1643

(London Mathematical Society. London, UK, 19990601)The following Bernsteintype theorem in hyperbolic spaces is proved. Let ∑ be a nonzero constant mean curvature complete hypersurface in the hyperbolic space ℍn. Suppose that there exists a onetoone orthogonal projection ...

(London Mathematical Society. London, UK, 19930601)We obtain explicit lower bounds on the lattice packing densities δL of superballs G of quite a general nature, and we conjecture that as the dimension n approaches infinity, the bounds are asymptotically exact. If the ...

(London Mathematical Society. London, UK, 19931201)The main object of this note is to prove that in threespace the sausage arrangement is the densest packing of four unit balls. Our method can be used to determine minimal arrangements with respect to various properties ...

(London Mathematical Society. London, UK, 20011201)The centroid body. Recall that the support function of a compact convex set K is denned to be hK(u) = maxxΣk: {<u, x>}. The support function hK is positive homogeneous and convex, and any function with these properties is ...

(London Mathematical Society. London, UK, 20020601)Absolute curvature measures for locally finite unions of sets with positive reach are introduced, extending the definition of Zähle [13] by taking into account the absolute value of the index function. It is shown that ...

(London Mathematical Society. London, UK, 19751201)Davies and Rogers [5] constructed a compact metric space Ω which is singular for a certain Hausdorff measure μh, in the sense that all subsets of Ω have μhmeasure zero or infinity and μh(Ω) = ∞. (For a further study of ...

(London Mathematical Society. London, UK, 19771201)The Fourier transform f of a function is defind by t ∊ ℝn. A(ℝn) is the isometric image of L1(ℝn) under the Fourier transformation. We extend the Fourier transformation to a mapping of ℒ(ℝn) to itself and denote by A′(ℝn) ...

(London Mathematical Society. London, UK, 19760601)The object of this paper is to give a new characterization of the set of PisotVijayaraghavan numbers (P.V.numbers for short). As usual, [x] and [x] represent respectively the integer part and the fractional part of the ...

(London Mathematical Society. London, UK, 20041201)Given a Hausdorff topological vector space with dimensiongreater than one, the barycentre of simple masses can be seen as the unique associative, internal and continuous mapping defined on these masses. Moreover, if the ...

(London Mathematical Society. London, UK, 19781201)§1. With respect to coordinates {z, x1, …, xq+1, …, x2q} a contact transformation is a local diffeomorphism of ℝ2q+1, which preserves the 1form up to multiplication by a nonzero real valued function. The family of such ...

(London Mathematical Society. London, UK, 19771201)Let K/k be a normal extension of algebraic number fields whose Galois group G is a Frobenius group. Then K/k is said to be a Frobenius extension. Most of the structure of the unit group and of the ideal class group of K ...

(London Mathematical Society. London, UK, 19731201)Let f(n) be a realvalued additive arithmetic function. For each positive rational integer n set For the duration of this paper we shall assume that as n → ∞ both

(London Mathematical Society. London, UK, 19600601)A Room square is an arrangement of the k(2k−1) unordered pairs (ar, as), with r≠s, formed from 2k symbols a0, a1 …, a2k−1 in a square of 2k−1 rows and columns such that in each row and column there appear k pairs (and k−1 ...

(London Mathematical Society. London, UK, 19710601)If L is a set of disjoint closed line segments in En, let E(L) denote the end set of L, i.e. the set of end points of members of L. In [1, 2] V. L. Klee and M. Martin proved the following lemma: IfLis a disjoint set of ...

(London Mathematical Society. London, UK, 19840601)Given an integral lattice L and a hyperbolic decomposition of some quotient L/pL, there is a simple technique for obtaining other lattices of the same dimension and discriminant as L⊥ … ⊥L. When applied to the D4 and E8 ...

(London Mathematical Society. London, UK, 19710601)If K is a set in ndimensional Euclidean space En, n ≥ 2, with a nonempty interior, then a point p of the interior of K is called a pseudo centre of K provided each twodimensional flat through p intersects K in a section ...

(London Mathematical Society. London, UK, 19640601)Professor C. L. Siegel has pointed out that the statement following equation (9) on page 98 of [1] is false, but can be made correct by adding to the conditions (7) of [1] the further condition:

(London Mathematical Society. London, UK, 19951201)In Section 1 of this note we will construct an example of a subset of R × Rn such that the parabolic capacity with respect to the heat equation is zero although its orthogonal projection onto {0} × Rn is the whole space. ...

(London Mathematical Society. London, UK, 19830601)In line with the Ritt–Seidenberg elimination theorem in differential algebra [RIT], [SEI], and with an “approximation theorem” by Denef and Lipshitz [DEL] for formal power series, and with an elimination theorem by the ...

(London Mathematical Society. London, UK, 19891201)Oler's latticepoint theorem gives a sharp upper bound for the latticepoint enumerator GΛ of a certain class of lattices in the plane. We give a sharp lower bound for GΛ of the corresponding class of lattices in all ...
Отображаемые элементы 120 из 1643