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B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...
Groups with faithful irreducible projective unitary representations
Projective unitary representations irreducible representations
2010/12/10
For a countable group and a multiplier ∈ Z2(,T),we study the property of having a unitary projective -representation which is both irreducible and projectively faith...
The conjectural connections between automorphic representations and Galois representations
conjectural connections between automorphic representations Galois representations
2010/11/30
We state conjectures on the relationships between automorphic representations and Galois representations, and give evidence for them.
Counting SO(9)xSU(2) representations in coordinate independent state space of SU(2) Matrix Theory
Counting SO(9)xSU(2) representations SU(2) Matrix Theory
2010/12/8
We consider decomposition of coordinate independent states into SO(9)×SU(2)representations in SU(2) Matrix theory. To see what and how many representations appear in the decomposition, we compute the ...
Supports of representations of the rational Cherednik algebra of type A
representations rational Cherednik algebra of type A
2011/1/21
We first consider the rational Cherednik algebra corresponding to the action of a finite group on a complex variety, as defined by Etingof. We define a category of representations of this algebra whic...
Ambiguities in recurrence-based complex network representations of time series
time series complex network perspective phase-space properties
2010/4/1
Recently, different approaches have been proposed for studying basic properties of time series from a complex network perspective. In this work, the corresponding potentials and limitations of network...
“The Spell of Sarnia”: Fictional Representations of the Island of Guernsey
Guernsey Channel Islands Hugo Edwards Peake religion
2009/12/4
Although there is nothing that resembles a comprehensive literary history of Guernsey, or of any of the islands of the English Channel, Guernsey has been the subject of many interesting representation...
Influence of two different representations of the G-matrix to the in-medium nucleon-nucleon cross sections
DBHF self-energy representation
2009/8/14
We calculate the in-medium nucleon-nucleon scattering cross sections from the G-matrix using the Dirac-Brueckner-Hartree-Fock (DBHF) approach. And we investigate the influence of the different represe...
Uniqueness of place and process representations in hydrological modelling
hydrological modelling Uniqueness
2009/3/24
This paper addresses the problem of uniqueness of catchment areas in relation to model representations of flow processes. The uniqueness of field measurements as a limitation on model representations ...
Representations of quantum permutation algebras
Representations quantum permutation algebras
2010/4/13
We develop a combinatorial approach to the quantum permutation algebras, as Hopf images of representations of type $\pi:A_s(n)\to B(H)$. We discuss several general problems, including the commutativit...
“Indecent and Demoralising Representations”:Public Anatomy Museums in mid-Victorian England
Public Anatomy Museums mid-Victorian England
2008/11/27
On 18 December 1873, at Marlborough Street magistrates’ court in London, Messrs Roumanielle, Davidson, and Dennison pleaded guilty to offences under the Obscene Publications Act 1857, and the magistra...
New infinite product representations of some elementary functions
Green’s function Infinite products Elementary functions
2010/9/10
The derivation of Green’s functions is revisited in a trivial case of standard boundary value problems for the two-dimensional Laplace equation. Regions of a regular shape are considered, with Dirichl...
<正> It is well-known that the camplex linear unimodular group G_2 ofa 2-dimensional affine space E_2 is a representation of the real orthogonalgToup G_4 of a 4-dimensional euclidean space R.In this pa...
Triangular Matrix Representations of Rings of Generalized Power Series
Generalized triangular matrix representation Twisted generalized power series ring PWP ring Triangulating dimension
2007/12/12
Let $R$ be a ring and $S$ a cancellative and torsion-free monoid and $\leq$ a strict order on $S$. If either $(S, \leq)$ satisfies the condition that $0\leq s$ for all $s\in S$, or $R$ is reduced, the...
IRREDUCIBLE REPRESENTATIONS AND SQUARE INTEGRABLE REPRESENTATIONS OF LOCALLY COMPACT GROUPOIDS
topological groupoid irreducible representation square integrable representation
2007/12/11
A notion of an irreducible representation, as well as of a square integrable representation on an arbitrary locally compact groupoid, is introduced. A generalization of a version of Schur's lemma on a...