Search results for "Functional analysis"
showing 10 items of 1059 documents
On Fourier integral operators with Hölder-continuous phase
2018
We study continuity properties in Lebesgue spaces for a class of Fourier integral operators arising in the study of the Boltzmann equation. The phase has a H\"older-type singularity at the origin. We prove boundedness in $L^1$ with a precise loss of decay depending on the H\"older exponent, and we show by counterexamples that a loss occurs even in the case of smooth phases. The results can be seen as a quantitative version of the Beurling-Helson theorem for changes of variables with a H\"older singularity at the origin. The continuity in $L^2$ is studied as well by providing sufficient conditions and relevant counterexamples. The proofs rely on techniques from Time-frequency Analysis.
Compactness of Fourier integral operators on weighted modulation spaces
2019
Using the matrix representation of Fourier integral operators with respect to a Gabor frame, we study their compactness on weighted modulation spaces. As a consequence, we recover and improve some compactness results for pseudodifferential operators.
"2/NPART*VSInPbPb" of "Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe-Xe collisions at $\sqrt{s_{\rm NN}…
2019
Values of $2/\langle N_\mathrm{part} \rangle \langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta\rangle$ and $2/\langle N_\mathrm{part} \rangle N^\mathrm{tot}_\mathrm{ch}$ as a function of $\langle N_\mathrm{part} \rangle$ in Pb--Pb collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.02\,\mathrm{TeV}$.
"2/NPART*_VS_SCALEDInPbPb" of "Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe-Xe collisions at $\sqrt{s_…
2019
Values of $2/\langle N_\mathrm{part} \rangle \langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta\rangle$ and $2/\langle N_\mathrm{part} \rangle N^\mathrm{tot}_\mathrm{ch}$ as a function of $(\langle N_\mathrm{part} \rangle -2)/(2A)$ in Pb--Pb collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.02\,\mathrm{TeV}$.
"Table 3" of "Centrality dependence of the charged-particle multiplicity density at mid-rapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 5.02 Te…
2016
The $\frac{2}{\langle N_\mathrm{part} \rangle}\langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta \rangle$ values measured in $|\eta|$ < 0.5 for eleven centrality classes. The statistical error contribution being negligible.
"Table 1" of "Measurement of transverse energy at midrapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV"
2016
$\langle $d$E_{\mathrm T}/$d$\eta \rangle / (\langle N_{\mathrm{part}}/2\rangle)$ versus $N_{\mathrm{part}}$, $\langle $d$E_{\mathrm T}/$d$\eta \rangle / (\langle N_{\mathrm{quark}}/2\rangle)$, and $\epsilon\tau$ versus $N_{\mathrm{part}}$ at midrapidity calculated from the tracking detectors,.
"Table 3" of "Measurement of transverse energy at midrapidity in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 2.76$ TeV"
2016
$\langle $d$E_{\mathrm T}/$d$\eta \rangle$/$\langle $d$N_{\mathrm{ch}}/$d$\eta \rangle$ versus $N_{part}$.
"Table 4" of "Suppression of $\Lambda(1520)$ resonance production in central Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV"
2018
$\langle p_{\rm T} \rangle$ of $\Lambda$(1520) (sum of particle and anti-particle states) at midrapidity as a function of $\langle {\rm d}N_{\rm ch}/{\rm d}\eta \rangle^{1/3}$. The uncertainty 'syst,uncorrelated' indicates the systematic uncertainty after removing the contributions common to all centrality classes
"Table 2" of "Inclusive J/psi production in pp collisions at sqrt(s) = 2.76 TeV"
2016
The $\sqrt{s}$-dependence of $\langle p_{\rm T}\rangle$ for inclusive J/$\psi$ production (forward rapidity).
"Table 3" of "Inclusive J/psi production in pp collisions at sqrt(s) = 2.76 TeV"
2016
the $\sqrt{s}$-dependence of $\langle p_{\rm T}\rangle$ for inclusive J/$\psi$ production (forward rapidity).