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Hereditarily indecomposable, separable L_\infty spaces with \ell_1 dual having few operators, but not very few operators
Hereditarily indecomposable math
2010/11/24
Given a natural number $k \geq 2$, we construct a hereditarily indecomposable, $\mathscr{L}_{\infty}$ space, $X_k$ with dual isomorphic to $\ell_1$. We exhibit a non-compact, strictly singular operato...
Constructing pairs of dual bandlimited frame wavelets in $L^2(\mathbb{R}^n)$
real and expansive dilation matrix bandlimited wavelets dual frames
2010/12/10
Given a real, expansive dilation matrix we prove that any bandlimited function ∈ L2(Rn), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for cer...
A generalized dual maximizer for the Monge--Kantorovich transport problem
Monge-Kantorovich problem dual attainment Kantorovich potential optimal transport
2010/11/30
The dual attainment of the Monge–Kantorovich transport problem is analyzed in a general setting. The spaces X, Y are assumed to be polish and equipped with Borel probability measures μ and . The tran...
Dual hybrid boundary node method for transient eddy current problem
Hybrid boundary node method Dual reciprocity method
2010/9/14
Dual hybrid boundary node method (DHBNM) is presented for solving transient eddy current problems in the paper. With difference to the traditional boundary element method (BEM), the DHBNM combines dua...
On the dual Bishop Darboux rotation axis of the dual space curve
Dual space curve Dual Bishop frame Dual parallel transport frame Dual Bishop Darboux vector Dual Bishop Darboux rotation axis
2009/1/4
In this paper, the Dual Bishop Darboux rotation axis for dual
space curve in the dual space D3 is decomposed in two simultaneous ro-
tation. The axes of these simultaneous rotations are joined by a ...
Canonical reduction of the self-dual Yang-Mills equations to inhomogeneous nonlinear Schrodinger equation and exact solutions
Nonlinear evolution equations Yang-Mills theory
2010/9/14
The (constrained) canonical reduction of four-dimensional self-dual Yang-Mills theory to two-dimensional inhomogeneous nonlinear Schr¨odinger equation are considered. On the other hand, other methods ...
The Dual Spaces of the Sets of Difference Sequences of Order $m$
Difference sequences $alpha -$ $beta -$ and $gamma -$duals
2008/6/26
The Dual Spaces of the Sets of Difference Sequences of Order $m$.
Let Fα, α ≥ 0 be the class of Cauchy transforms of order α equipped with the bounded variation norm. The bounded linear functionals on Fα are characterized and an inclusion between duals is given.
ERROR DETECTION CAPABILITY OF SHORTENED HAMMING CODES AND THEIR DUAL CODES
Error detection undetected er
2007/12/11
The undetected error probability and error detection capability of shortened Hamming codes and their dual codes are studied in this paper. We also obtain some interesting properties for the shortened ...