Results 111 to 120 of about 1,062,474 (215)

On the nuclear trace of Fourier integral operators

Revista Integración, 2019
In this paper we characterise the r-nuclearity of Fourier integral operators on Lebesgue spaces. Fourier integral operators will be considered in Rn, the discrete group Zn, the n-dimensional torus and symmetric spaces (compact homogeneous manifolds).
Duván Cardona
doaj  

Pseudodifferential operators on manifolds with a Lie structure at infinity

, 2006
Several examples of non-compact manifolds $M_0$ whose geometry at infinity is described by Lie algebras of vector fields $V \subset \Gamma(TM)$ (on a compactification of $M_0$ to a manifold with corners $M$) were studied by Melrose and his collaborators.
Ammann, Bernd, Lauter, Robert, Nistor, Victor   +2 more
core  

The perturbed Maxwell operator as pseudodifferential operator

Documenta Mathematica, 2014
As a first step to deriving effective dynamics and ray optics, we prove that the perturbed periodic Maxwell operator in d = 3 can be seen as a pseudo­differential operator. This necessitates a better understanding of the periodic Maxwell operator
De Nittis, Giuseppe, Lein, Max
openaire   +2 more sources

Endpoint boundedness of toroidal pseudo-differential operators

Open Mathematics
In this note, we prove that the toroidal pseudo-differential operator is bounded from L∞(Tn){L}^{\infty }\left({{\mathbb{T}}}^{n}) to BMO(Tn){\rm{BMO}}\left({{\mathbb{T}}}^{n}) if the symbol belongs to the toroidal Hörmander class Sρ,δn(ρ−1)∕2(Tn×Zn){S}_{
Ramla Benhamoud
doaj   +1 more source

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Non-Archimedean valued quasi-invariant descending at infinity measures

International Journal of Mathematics and Mathematical Sciences, 2005
Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. Moreover, their characteristic functionals are considered.
S. V. Lüdkovsky
doaj   +1 more source

Symplectic Radon Transform and the Metaplectic Representation. [PDF]

Entropy (Basel), 2022
de Gosson MA.
europepmc   +1 more source

L^p-Boundedness of a Class of Bi-Parameter Pseudo-Differential Operators

Mathematics
In this paper, I explore a specific class of bi-parameter pseudo-differential operators characterized by symbols σ(x1,x2,ξ1,ξ2) falling within the product-type Hörmander class Sρ,δm.
Jinhua Cheng
doaj   +1 more source

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Pseudodifferential Operators on Modulation Spaces

Journal of Mathematical Analysis and Applications, 2001
Pseudodifferential operators on modulation spaces are considered. The author gives a fundamental connection between certain classes of pseudodifferential operators and Hille-Tamarkin operators. As an application, compactness and summability of the eigenvalues of pseudodifferential operators acting on the modulation spaces is studied.
openaire   +1 more source