A symplectic extension map and a new Shubin class of pseudo-differential operators
For an arbitrary pseudo-differential operator $A:\mathcal{S}(\mathbb{R}% ^{n})\longrightarrow\mathcal{S}^{\prime}(\mathbb{R}^{n})$ with Weyl symbol $a\in\mathcal{S}^{\prime}(\mathbb{R}^{2n})$, we consider the pseudo-differential operators $\widetilde{A}:\
Bastos +25 more
core +1 more source
On the Usefulness of Modulation Spaces in Deformation Quantization
We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of symbols of pseudo-differential operators (observables).
Bayen F +16 more
core +1 more source
On a high-dimensional nonlinear stochastic partial differential equation [PDF]
In this paper we investigate a nonlinear stochastic partial differential equation (spde in short) perturbed by a space-correlated Gaussian noise in arbitrary dimension $d\geq1$, with a non-Lipschitz coefficient noisy term.
Boulanba, Lahcen, Mellouk, Mohamed
core +2 more sources
Pseudo-fractional differential equations and generalized g-Laplace transform. [PDF]
Sousa JVDC +3 more
europepmc +1 more source
Smoothing of commutators for a H\"ormander class of bilinear pseudodifferential operators
Commutators of bilinear pseudodifferential operators with symbols in the H\"ormander class BS_{1, 0}^1 and multiplication by Lipschitz functions are shown to be bilinear Calder\'on-Zygmund operators.
Bényi, Árpád, Oh, Tadahiro
core
Inverse-Closedness of a Banach Algebra of Integral Operators on the Heisenberg Group
Let $\mathbb{H}$ be the general, reduced Heisenberg group. Our main result establishes the inverse-closedness of a class of integral operators acting on $L^{p}(\mathbb{H})$, given by the off-diagonal decay of the kernel.
Farrell, Brendan, Strohmer, Thomas
core +2 more sources
Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel-Lizorkin spaces with variable exponents. [PDF]
Xu J, Zhu J.
europepmc +1 more source
Mechanisms of primary and secondary estrogen target gene regulation in breast cancer cells. [PDF]
Bourdeau V +5 more
europepmc +1 more source
Layer potentials C*-algebras of domains with conical points
Carvalho Catarina, Qiao Yu
doaj +1 more source

