Results 91 to 100 of about 1,062,474 (215)
A Canonical Trace Associated with Certain Spectral Triples
Symmetry, Integrability and Geometry: Methods and Applications, 2010 In the abstract pseudodifferential setup of Connes and Moscovici, we prove a general formula for the discrepancies of zeta-regularised traces associated with certain spectral triples, and we introduce a canonical trace on operators, whose order lies ...
Sylvie Paycha
doaj +1 more source
Pseudo-differential operators and equations in a discrete half-space
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev +1 more
doaj +1 more source
International Journal of Antennas and Propagation, Volume 2024, Issue 1, 2024.In this article, the inverse diffraction parabolic equation (IDPE) model based on the finite difference method is proposed, which is first applied in the multiple nonradiation targets orientation technology. In principle, the electromagnetic signal propagating in the transmission path will produce a reflected signal back to the source end while ...
Qi Guo +5 more
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.The goal of this paper project is to find a minimum time null controllability of the fractional heat equation in one dimension using the notion of strategic zone actuators. As part of our research activities, we had already addressed this theme, and this publication project is a logical continuation in the fractional case.
Cheikh Seck +3 more
wiley +1 more source
Comptes Rendus. Mathématique, 2020 Over the $(1,N)$-dimensional supercircle $S^{1|N}$, we classify $\mathfrak{n}(1|N)$-invariant linear differential operators acting on the superspaces of weighted densities on $S^{1|N}$, where $\mathfrak{n}(1|N)$ is the Heisenberg Lie superalgebra.
Khalfoun, Hafedh, Laraiedh, Ismail
doaj +1 more source
Advances in Mathematical Physics, 2016 Two kinds of Darboux-Bäcklund transformations (DBTs) are constructed for the q-deformed Nth KdV hierarchy with self-consistent sources (q-NKdVHSCS) by using the q-deformed pseudodifferential operators.
Hongxia Wu +3 more
doaj +1 more source
Electronic Journal of Differential Equations, 2009 We provide sufficient conditions of local solvability for partial differential operators with variable Colombeau coefficients. We mainly concentrate on operators which admit a right generalized pseudodifferential parametrix and on operators which are ...
Claudia Garetto
doaj
NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
Forum of Mathematics, Sigma, 2017 We consider the spectral behavior and noncommutative geometry of commutators $[P,f]$ , where ...
HEIKO GIMPERLEIN, MAGNUS GOFFENG
doaj +1 more source
Weighted trace cochains; a geometric setup for anomalies
, 2005 We extend formulae which measure discrepancies for regularized traces on classical pseudodifferential operators to regularized trace cochains, regularized traces corresponding to 0-regularized trace cochains.
Paycha, Sylvie
core +1 more source
On Some Degenerate Pseudodifferential Operators
Doklady Mathematics, 2019 In this paper, a new class of degenerate pseudo-differential operators is investigated, with a variable symbol depending on the complex parameter. Pseudodifferential operators are constructed by a special integral transform. Theorems on the composition and boundedness of these operators in special weighted spaces are proved.
Baev, A. D. +2 more
openaire +2 more sources