Results 251 to 260 of about 1,521,033 (284)

Affine frames, quasi-affine frames, and their duals

Advances in Computational Mathematics, 1998
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Charles K Chui, Xianliang Shi
exaly   +3 more sources

CHARACTERIZATIONS OF FRAME QUASI-UNIFORMITIES

Quaestiones Mathematicae, 1993
Abstract This paper advances an entourage-like theory of quasi-uniformities for frames by establishing that the theory comprises the classical theory of quasi-uniform spaces and is, in the setting of biframes, equivalent to J.L. Frith's theory of covering quasi-uniformities.
P Fletcher
exaly   +2 more sources

The semicontinuous quasi-uniformity of a frame, revisited [PDF]

Quaestiones Mathematicae, 2011
In this note we present a new treatment of the pointfree version of the semicontinuous quasi-uniformity based on the new tool of the ring of arbitrary (not necessarily continuous) real-valued functions made available recently by J. Gutiérrez García, T. Kubiak and J. Picado [13]. Our purpose is to show how the  basic facts about the semicontinuous quasi-
Ferreira, Maria Joao, Picado, Jorge
exaly   +3 more sources

Completion of Quasi-Uniform Frames

Applied Categorical Structures, 1999
In the study of quasi-uniform frames there has been a division between those favoring covering quasi-uniformities and those preferring entourage quasi-uniformities. It seems to be emerging from the paper under review and [The Samuel compactification of a quasi-uniform frame, Topology Proc. 23 (to appear)] that both points of view are valuable.
J. Frith, Worthen Hunsaker
exaly   +3 more sources

Quasi-Biorthogonal Frame Multiresolution Analyses and Wavelets

Advances in Computational Mathematics, 2003
Let \(T_kf(x)=f(x-k)\) and \(Df(x)=2^{1/2}f(2x)\). Two frame multiresolution analyses \(\{V_j\}_{j\in\mathbb{Z}}\) and \(\{\widetilde{V}_j\}_{j\in\mathbb{Z}}\) are said to be quasi-biorthogonal if their corresponding scaling functions \(\varphi, \widetilde{\varphi}\) satisfy the equations \[ \varphi =\sum \langle \varphi, T_k\widetilde{\varphi}\rangle ...
Jae Kun Lim, Rae Young Kim, Hong Oh Kim
exaly   +3 more sources

Quasi SV-frames and their properties

Quaestiones Mathematicae, 2021
Let P be a prime ideal of the ring of continuous real-valued functions on a completely regular frame L, i.e., RL. We study many new results about the residue class domains RL=P with an emphasis on determining when the ordered RL=P is a valuation domain (i.e., when given any two non-zero  elements of RL=P, one divides the other). A prime ideal P of
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Frame quasi-uniformities

Monatshefte f�r Mathematik, 1994
The authors introduce quasi-uniform locales and develop the theory as preliminary to their investigation of totally bounded quasi-uniform locales (or frames) in [Comment. Math. Univ. Carolin. 34, No. 3, 529-537 (1993; Zbl 0786.54028)].
Fletcher, P., Hunsaker, W., Lindgren, W.
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Notes Concerning Characterizations of Quasi-FFrames

Quaestiones Mathematicae, 2009
Click on the link to view. Keywords: Frame; quasi f-frame; ring of real-valued continuous functions on a frameQuaestiones Mathematicae 32(2009), 551 ...
Dube, Themba, Matlabyane, Mack
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Refinable Function-Based Construction of Weak (Quasi-)Affine Bi-Frames

Journal of Fourier Analysis and Applications, 2014
This paper introduces a notion of weak (quasi)-affine bi-frames in (1.8) by replacing the unconditional convergence in the definition of an affine bi-frame with a weaker notion of convergence in (1.8) for the scale index. Under the Assumptions 1--3, for affine bi-frames derived from refinable functions, the authors show that the condition in (1.17) of ...
Yun-Zhang Li
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Quasi-symmetric designs and equiangular tight frames

SPIE Proceedings, 2015
An equiangular tight frame (ETF) is an M×N matrix which has orthogonal equal norm rows, equal norm columns, and the inner products of all pairs of columns have the same modulus. ETFs arise in numerous applications, including compressed sensing. They also seem to be rare: despite over a decade of active research by the community, only a few construction
Matthew Fickus, John Jasper, Dustin Mixon, Jesse Peterson   +3 more
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