Results 21 to 30 of about 2,990 (165)

Towards semi-classical analysis for sub-elliptic operators

open access: yesBruno Pini Mathematical Analysis Seminar, 2022
We discuss the recent developments of semi-classical and micro-local analysis in the context of nilpotent Lie groups and for sub-elliptic operators.
Véronique Fischer
doaj   +1 more source

On diffeological principal bundles of non-formal pseudo-differential operators over formal ones

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2023
We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
doaj   +1 more source

Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills–like formulation

open access: yesPhysics Letters B
We start from the classical Kadomtsev-Petviashvili (KP) hierarchy posed on formal pseudo-differential operators, and we produce new hierarchies of non-linear equations in the context of non-formal pseudo-differential operators lying in the Kontsevich and
Jean-Pierre Magnot, Enrique G. Reyes
doaj   +1 more source

A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation

open access: yesMathematics, 2020
A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator ...
Benjamin Akers, Tony Liu, Jonah Reeger
doaj   +1 more source

The Dixmier trace and the Wodzicki residue for global pseudo-differential operators on compact manifolds.

open access: yesRevista Integración, 2020
In this note, we announce the results of our investigation on the Dixmier trace and the Wodzicki residue for pseudo-differential operators on compact manifolds.
Duván Cardona, César del Corral
doaj  

A Remark Related Pseudo-Differential Operators on Multi-Parameter Besov-Lipschitz and Triebel-Lizorkin Spaces

open access: yesJournal of Function Spaces, 2022
Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1 ...
Chengdan Xu
doaj   +1 more source

On the disentanglement of Gaussian quantum states by symplectic rotations

open access: yesComptes Rendus. Mathématique, 2020
We show that every Gaussian mixed quantum state can be disentangled by conjugation with a unitary operator corresponding to a symplectic rotation via the metaplectic representation of the symplectic group.
de Gosson, Maurice A.
doaj   +1 more source

Eigenvalue asymptotics for a class of multi-variable Hankel matrices

open access: yesConcrete Operators, 2023
A one-variable Hankel matrix Ha{H}_{a} is an infinite matrix Ha=[a(i+j)]i,j≥0{H}_{a}={\left[a\left(i+j)]}_{i,j\ge 0}. Similarly, for any d≥2d\ge 2, a dd-variable Hankel matrix is defined as Ha=[a(i+j)]{H}_{{\bf{a}}}=\left[{\bf{a}}\left({\bf{i}}+{\bf{j}})]
Tantalakis Christos Panagiotis
doaj   +1 more source

On the asymptotic expansion of certain plane singular integral operators

open access: yesBoundary Value Problems, 2017
We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
doaj   +1 more source

Pseudospectra of semiclassical (pseudo‐) differential operators [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2003
The authors show how methods from micro-local analysis can be applied to the study of the (pseudo-)spectra of non-selfadjoint operators arising in semiclassical analysis.
Dencker, Nils   +2 more
openaire   +1 more source

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