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BOUNDEDNESS OF WEYL QUANTIZATION

Chinese Annals of Mathematics, 1999
The paper concerns different problems in the general theory of the Weyl quantization of a pseudodifferential symbol \(a(x,\eta)\): \[ a^w(x,D)u(x)= (2\pi)^{-n}\iint e^{i(x- y)\eta} a((x+ y)/2,\eta) u(y)dy d\eta. \] First, boundedness in function spaces is considered, when \(a(x,\eta)\in S^0_{\rho,\delta}(\mathbb{R}^n)\), \(0\leq \rho\), \(\delta\leq 1\)
Qi, Minyou, Chen, Wenyi
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Ultimate Boundedness Control for Networked Singularly Perturbed Systems With Deception Attacks: A Markovian Communication Protocol Approach

IEEE Transactions on Network Science and Engineering, 2021
Jun Cheng   +3 more
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Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Calculus of Variations and Partial Differential Equations, 2015
We consider the chemotaxis-fluid system 0.1in a bounded convex domain Ω⊂R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
M. Winkler
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Boundedness of Hankel Matrices

Journal of the London Mathematical Society, 1984
Let \((a_{i+j})_{i,j\geq 0}\) be a Hankel matrix with complex elements satisfying the condition \(\sum^{\infty}_{n=0}| a_ n ...
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Boundedness and Invertibility

1974
Boundedness is a useful and natural condition, but it is a very strong condition on a linear transformation. The condition has a profound effect throughout operator theory, from its mildest algebraic aspects to its most complicated topological ones.
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Boundedness and Complete Distributivity

Applied Categorical Structures, 2001
In a previous paper [\textit{R. Rosebrugh} and \textit{R. J. Wood}, Appl. Categ. Struct. 2, No. 2, 119-144 (1994; Zbl 0804.06013)], the authors showed that there was a bi-equivalence between the 2-categories of constructively completely distributive lattices with sup-preserving arrows and that of the idempotent splitting completion of the 2-category of
Rosebrugh, R., Wood, R. J.
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BOUNDEDNESS FOR CODIMENSION TWO SUBVARIETIES

International Journal of Mathematics, 2002
We prove that for certain projective varieties V ⊂ Pr (e.g. smooth complete intersections with dim (V) ≥ 4, or complete intersections with dim (V) ≥ 7 and codim V ( Sing (V)) ≥ 6), there are only finitely many components of the Hilbert scheme parametrizing irreducible, smooth, projective, codimension two subvarieties of V not of general type.
CILIBERTO, CIRO, DI GENNARO, VINCENZO
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On Metric Boundedness Structures

Set-Valued Analysis, 1999
In [J. Math. Pures Appl., IX. Sér. 28, 287-320 (1949; Zbl 0041.31602)] \textit{S.-T. Hu} characterized, given a metrizable space \(X\), those families \(\mathcal S\) of subsets of \(X\) for which a compatible metric \(d\) on \(X\) can be found such that \(\mathcal S\) consists of exactly the \(d\)-bounded subsets of \(X\) --- they are the proper ideals
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