Results 11 to 20 of about 13,184 (278)
Completeness of uniformly discrete translates in LP(ℝ) [PDF]
Journal d'Analyse MathématiqueAbstract We construct a real sequence {λ n } n=1 ∞ satisfying λ n = n + o(1), and a Schwartz function f on ℝ, such that for any N the system of translates {f(x − λ n )},
Nir Lev
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Partial translation algebras for certain discrete metric spaces [PDF]
, 2010 The notion of a partial translation algebra was introduced by Brodzki, Nibloand Wright in [11] to provide an analogue of the reduced group C*-algebrafor metric spaces. Such an algebra is constructed from a partial translationstructure, a structure which any bounded geometry uniformly discrete metricspace admits; we prove that these structures restrict ...
Rosemary Johanna Putwain
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Discrete Translates in Function Spaces [PDF]
Analysis Mathematica, 2018 We construct a Schwartz function $ $ such that for every exponentially small perturbation of integers $ $, the set of translates $\{ (t- ), \in \}$ spans the space $L^p(R)$, for every $p > 1$. This result remains true for more general function spaces $X$, whose norm is "weaker" than $L^1$ (on bounded functions).
Olevskii, A., Ulanovskii, A.
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Vector Arithmetic in the Triangular Grid
Entropy, 2021 Vector arithmetic is a base of (coordinate) geometry, physics and various other disciplines. The usual method is based on Cartesian coordinate-system which fits both to continuous plane/space and digital rectangular-grids.
Khaled Abuhmaidan +2 more
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Exact reconstruction with directional wavelets on the sphere [PDF]
, 2007 A new formalism is derived for the analysis and exact reconstruction of band-limited signals on the sphere with directional wavelets. It represents an evolution of the wavelet formalism developed by Antoine & Vandergheynst (1999) and Wiaux et al. (2005).
Abramowitz +60 more
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Bijective, Non-Bijective and Semi-Bijective Translations on the Triangular Plane
Mathematics, 2019 The triangular plane is the plane which is tiled by the regular triangular tessellation. The underlying discrete structure, the triangular grid, is not a point lattice. There are two types of triangle pixels. Their midpoints are assigned to them.
Khaled Abuhmaidan, Benedek Nagy
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Modular discretization of the AdS2/CFT1 Holography [PDF]
, 2013 We propose a finite discretization for the black hole geometry and dynamics. We realize our proposal, in the case of extremal black holes, for which the radial and temporal near horizon geometry is known to be AdS$_2=SL(2,\mathbb{R})/SO(1,1,\mathbb{R})$.
Axenides, M. +2 more
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Quantum Mechanics of a Point Particle in 2+1 Dimensional Gravity [PDF]
, 1997 We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and removing all redundant gauge degrees of freedom, we arrive at a reduced ...
't Hooft G +18 more
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Self-assembled fibre optoelectronics with discrete translational symmetry [PDF]
Nature Communications, 2016 AbstractFibres with electronic and photonic properties are essential building blocks for functional fabrics with system level attributes. The scalability of thermal fibre drawing approach offers access to large device quantities, while constraining the devices to be translational symmetric.
Michael Rein +5 more
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Spontaneous breaking of a discrete time-translation symmetry [PDF]
Physical Review A, 2021 Spontaneous symmetry breaking is a ubiquitous concept and is well described in many textbooks of physics. However, direct observation of spontaneous symmetry breaking is lacking. Here we present the observation and analysis of a spontaneously broken discrete time-translation symmetry in our driven system.
J. Smits +2 more
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