Simulation and measurement of quasi-optical multipliers [PDF]
, 2000 The lumped-element finite-difference time-domain method is used to analyze quasi-optical multipliers based on diode loaded slot antennas. The method is validated firstly for a passive microstrip-fed structure then for the diode loaded case in both small-
Alimenti, Federico +5 more
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Subdyadic square functions and applications to weighted harmonic analysis [PDF]
, 2016 Through the study of novel variants of the classical Littlewood-Paley-Stein $g$-functions, we obtain pointwise estimates for broad classes of highly-singular Fourier multipliers on $\mathbb{R}^d$ satisfying regularity hypotheses adapted to fine ...
Beltran, David, Bennett, Jonathan
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A brief description of operators associated to the quantum harmonic oscillator on Schatten-von Neumann classes [PDF]
, 2018 In this note we study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to Schatten classes on $L^2(\mathbb{R}^n)$.
Cardona, Duvan
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Fourier multiplier theorems involving type and cotype [PDF]
, 2017 In this paper we develop the theory of Fourier multiplier operators $T_{m}:L^{p}(\mathbb{R}^{d};X)\to L^{q}(\mathbb{R}^{d};Y)$, for Banach spaces $X$ and $Y$, $1\leq p\leq q\leq \infty$ and $m:\mathbb{R}^d\to \mathcal{L}(X,Y)$ an operator-valued symbol ...
Rozendaal, Jan, Veraar, Mark
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Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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Estimates for the kinetic transport equation in hyperbolic Sobolev spaces [PDF]
, 2017 We establish smoothing estimates in the framework of hyperbolic Sobolev spaces for the velocity averaging operator $\rho$ of the solution of the kinetic transport equation.
Bennett, Jonathan +3 more
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Spectral multipliers on $2$-step groups: topological versus homogeneous dimension [PDF]
, 2016 Let $G$ be a $2$-step stratified group of topological dimension $d$ and homogeneous dimension $Q$. Let $L$ be a homogeneous sub-Laplacian on $G$. By a theorem due to Christ and to Mauceri and Meda, an operator of the form $F(L)$ is of weak type $(1,1 ...
Martini, Alessio, Müller, Detlef
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Manifestly Covariant Actions for D=4 Self-Dual Yang-Mills and D=10 Super-Yang-Mills [PDF]
, 1997 Using an infinite number of fields, we construct actions for D=4 self-dual Yang-Mills with manifest Lorentz invariance and for D=10 super-Yang-Mills with manifest super-Poincar\'e invariance.
Berkovits, N., Hull, C.
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Discrete Breathers in a Nonlinear Polarizability Model of Ferroelectrics
, 2011 We present a family of discrete breathers, which exists in a nonlinear polarizability model of ferroelectric materials. The core-shell model is set up in its non-dimensionalized Hamiltonian form and its linear spectrum is examined.
Bishop, A. R. +3 more
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Completely bounded bimodule maps and spectral synthesis [PDF]
, 2017 We initiate the study of the completely bounded multipliers of the Haagerup tensor product $A(G)\otimes_{\rm h} A(G)$ of two copies of the Fourier algebra $A(G)$ of a locally compact group $G$. If $E$ is a closed subset of $G$ we let $E^{\sharp} = \{(s,t)
Alaghmandan, M. +2 more
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