Results 21 to 30 of about 2,990 (165)
Towards semi-classical analysis for sub-elliptic operators
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
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On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
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
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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
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A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
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
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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
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Let a symbol σx,ξ belongs to the class S1,1,δ1,δ20,0 with x,ξ∈ℝn1×ℝn2 and 0≤δ1 ...
Chengdan Xu
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On the disentanglement of Gaussian quantum states by symplectic rotations
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.
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Eigenvalue asymptotics for a class of multi-variable Hankel matrices
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
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On the asymptotic expansion of certain plane singular integral operators
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
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Pseudospectra of semiclassical (pseudo‐) differential operators [PDF]
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
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