A5084409546- Spectral Theory in Mathematical Physics
- Advanced Operator Algebra Research
- Quantum chaos and dynamical systems
- Numerical methods in inverse problems
- Advanced Mathematical Physics Problems
- Advanced Mathematical Modeling in Engineering
- Holomorphic and Operator Theory
- Mathematical Analysis and Transform Methods
- Advanced Topics in Algebra
- Differential Equations and Boundary Problems
- advanced mathematical theories
- Quantum Mechanics and Non-Hermitian Physics
- Advanced Banach Space Theory
- Matrix Theory and Algorithms
- Algebraic and Geometric Analysis
- Nonlinear Waves and Solitons
- Quantum optics and atomic interactions
- Black Holes and Theoretical Physics
- Advanced Chemical Physics Studies
- Magnetism in coordination complexes
- Random Matrices and Applications
- Control and Stability of Dynamical Systems
- Lanthanide and Transition Metal Complexes
- Advanced Harmonic Analysis Research
- Nuclear physics research studies
Analyse, Géométrie et Modélisation
2004-2023
CY Cergy Paris Université
2010-2021
Centre National de la Recherche Scientifique
1994-2021
Laboratoire de Mathématiques d'Orsay
1996-2020
Institut Élie Cartan de Lorraine
2016
Equipes Traitement de l'Information et Systèmes
1996-2011
Université Paris Cité
1991-1996
Institut de Mathématiques de Jussieu-Paris Rive Gauche
1994-1996
Romanian Academy
1991
Institutul de Fizică Atomică
1987-1989
We show asymptotic completeness for a class of superradiant Klein–Gordon equations. Our results are applied to the equation on De Sitter–Kerr metric with small angular momentum black hole. For this we obtain fixed field.
We consider the Schr\"odinger operator on halfline with potential $(m^2-\frac14)\frac1{x^2}$, often called Bessel operator. assume that $m$ is complex. study domains of various closed homogeneous realizations In particular, we prove domain its minimal realization for $|\Re(m)|<1$ and unique $\Re(m)>1$ coincide second order Sobolev space. On other hand, if $\Re(m)=1$ space a subspace infinite codimension The properties operators are compared corresponding bilinear forms.
We study in this paper an abstract class of Klein-Gordon equations: \partial_{t}^{2}\phi(t)- 2\mathrm i k \partial_{t}\phi(t)+ h \phi(t)=0, where \phi: \mathbb R \to \mathcal H , is a (complex) Hilbert space, and are self-adjoint, resp. symmetric operators on . consider their generators (resp. K ) the two natural spaces Cauchy data, energy charge do not assume that dynamics generated by or has any positive conserved quantity, particular these may have complex spectrum. Assuming conditions...
An algebraic formalism is presented which simplifies and makes natural various arguments in the theories where some notion of ‘‘connected operator’’ appears. As a first example, this paper case N-body systems considered.