Results 21 to 30 of about 9,965 (190)
A Canonical Trace Associated with Certain Spectral Triples [PDF]
, 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 ...
Paycha, Sylvie
core +6 more sources
Advances in Mathematical Physics, 2015 The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation.
Y. G. Smirnov, A. A. Tsupak
doaj +1 more source
El problema del primer retorno asociado a un operador seudodiferencial en dimensión 3
Revista Integración, 2015 En este artículo estudiamos el problema del primer retorno asociado a un operador seudodiferencial elíptico con símbolo no radial de dimensión 3 sobre el cuerpo de los números pádicos. Para citar este artículo: O.F. Casas-Sánchez, J.
Oscar F. Casas-Sánchez +2 more
doaj +1 more source
The principal transmission condition
Mathematics in Engineering, 2022 The paper treats pseudodifferential operators $ P = \operatorname{Op}(p(\xi)) $ with homogeneous complex symbol $ p(\xi) $ of order $ 2a > 0 $, generalizing the fractional Laplacian $ (-\Delta)^a $ but lacking its symmetries, and taken to act on the ...
Gerd Grubb
doaj +1 more source
Spectral Invariance of Non-Smooth Pseudodifferential Operators
, 2016 In this paper we discuss some spectral invariance results for non-smooth pseudodifferential operators with coefficients in H\"older spaces. In analogy to the proof in the smooth case of Beals and Ueberberg, we use the characterization of non-smooth ...
Abels, Helmut, Pfeuffer, Christine
core +1 more source
Hypo-Analytic Pseudodifferential Operators [PDF]
Proceedings of the American Mathematical Society, 1989 Let Ω \Omega be a hypo-analytic manifold of dimension m m equipped with a hypo-analytic structure whose structure bundle T ′ T’ has dimension m m . This paper introduces hypo-analytic pseudodifferential operators and it is shown that such operators preserve the ...
openaire +1 more source
Infinite Matrix Representations of Isotropic Pseudodifferential Operators
, 2011 We characterize the action of isotropic pseudodifferential operators on functions in terms of their action on Hermite functions. We show that an operator $A : S(\mathbb{R}) \to S(\mathbb{R})$ is an isotropic pseudodifferential operator of order r if and ...
Chodosh, Otis
core +1 more source
Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Abstract and Applied Analysis, 2011 The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
Vagif S. Guliyev +2 more
doaj +1 more source
Magnetic Fourier Integral Operators
, 2010 In some previous papers we have defined and studied a 'magnetic' pseudodifferential calculus as a gauge covariant generalization of the Weyl calculus when a magnetic field is present. In this paper we extend the standard Fourier Integral Operators Theory
D. Robert +12 more
core +1 more source
Spectral properties of semi-classical Toeplitz operators
, 2017 The main results of this paper are an asymptotic expansion in powers of $\hbar$ for the spectral measure $\mu_\hbar$ of a semi-classical Toeplitz operator, $Q_\hbar$, and an equivariant version of this result when $Q_\hbar$ admits an $n$-torus as a ...
Guillemin, Victor +2 more
core +1 more source