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Currently displaying 1 – 11 of 11

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The intrinsic square function.

M. Wilson — 2007

Revista Matemática Iberoamericana

Nonisomorphic Steiner Triple System.

Richard M. Wilson

Mathematische Zeitschrift

A semi-discrete Littlewood-Paley inequality

J. M. Wilson — 2002

Studia Mathematica

We apply a decomposition lemma of Uchiyama and results of the author to obtain good weighted Littlewood-Paley estimates for linear sums of functions satisfying reasonable decay, smoothness, and cancellation conditions. The heart of our application is a combinatorial trick treating m-fold dilates of dyadic cubes. We use our estimates to obtain new weighted inequalities for Bergman-type spaces defined on upper half-spaces in one and two parameters, extending earlier work of R. L. Wheeden and the author....

Optics in Croke-Kleiner Spaces

Fredric D. Ancel; Julia M. Wilson — 2010

Bulletin of the Polish Academy of Sciences. Mathematics

We explore the interior geometry of the CAT(0) spaces $X_{α} : 0 < α \leq π / 2$ , constructed by Croke and Kleiner [Topology 39 (2000)]. In particular, we describe a diffraction effect experienced by the family of geodesic rays that emanate from a basepoint and pass through a certain singular point called a triple point, and we describe the shadow this family casts on the boundary. This diffraction effect is codified in the Transformation Rules stated in Section 3 of this paper. The Transformation Rules have various applications....

Base curves of multicanonical systems on threefolds

P. M. H. Wilson — 1984

Compositio Mathematica

A countrexample in the Galois module structure of wild extensions of the rational field

Stephen M. J. Wilson

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Extensions with identical wild ramification

S. M, J. WILSON

Seminaire de Théorie des Nombres de Bordeaux

On the canonical ring of algebraic varieties

P. M. H. Wilson — 1981

Compositio Mathematica

Galois module structure of the rings of integers in wildly ramified extensions

Stephen M. J. Wilson — 1989

Annales de l'institut Fourier

The main results of this paper may be loosely stated as follows. Theorem.— Let $N$ and $N^{'}$ be sums of Galois algebras with group $Γ$ over algebraic number fields. Suppose that $N$ and $N^{'}$ have the same dimension $ℚ$ and that they are identical at their wildly ramified primes. Then (writing $𝒪_{N}$ for the maximal order in $N$ ) $𝒪_{N} \oplus 𝒪_{N} \oplus ℤ Γ ≅_{ℤ Γ} \oplus 𝒪_{N}^{'} \oplus 𝒪_{N^{'}} \oplus ℤ Γ .$ In...

Some counter-examples in the theory of the Galois module structure of wild extensions

Stephen M. J. Wilson — 1980

Annales de l'institut Fourier

Considering the ring of integers in a number field as a $Z Γ$ -module (where $Γ$ is a galois group of the field), one hoped to prove useful theorems about the extension of this module to a module or a lattice over a maximal order. In this paper it is show that it could be difficult to obtain, in this way, parameters which are independent of the choice of the maximal order. Several lemmas about twisted group rings are required in the proof.