Add to ORKGWe introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces setting. In particular a Mourre estimate for a pair of self-adjoint operators $(H,A)$ is deduced from a similar estimate for a pair of self-adjoint operators $(H_0,A_0)$ acting in an auxiliary Hilbert space. A new criterion for the completeness of the wave operators in a two-Hilbert spaces setting is also presented
AbstractThe present paper gives an abstract method to prove that possibly embedded eigenstates of a ...
AbstractBy the method of direction wave operators, we prove that absolutely continuous parts of comm...
AbstractWe give a proof in an abstract setting of various resolvent estimates including the limiting...
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces se...
AbstractWe develop in this paper the Mourre theory for an abstract class of fibered self-adjoint ope...
We present here some results obtained with C. G\’erard about the Mourre theory for a class of operat...
In general, it is a non-trivial task to determine the adjoint (Formula presented.) of an unbounded o...
Dans cette thèse, nous nous intéressons à l’étude du spectre essentiel d’opérateurs de Schrödinger e...
International audienceMourre's commutator theory is a powerful tool to study the continuous spectrum...
In this paper we give a generalization of self-adjoint operators defined on a Hilbert space which we...
This thesis is divided as follows: The first chapter introduces the main ideas intuitively while as...
The Hilbert space effect algebra is a fundamental mathematical structure which is used to describe u...
Analogous to the notion of mutually unbiased bases for Hilbert spaces, we consider mutually unbiase...
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption pri...
Since the late 1960's mathematicians working mainly in the area of quantum field theory have used c...
AbstractThe present paper gives an abstract method to prove that possibly embedded eigenstates of a ...
AbstractBy the method of direction wave operators, we prove that absolutely continuous parts of comm...
AbstractWe give a proof in an abstract setting of various resolvent estimates including the limiting...
We introduce a natural framework for dealing with Mourre theory in an abstract two-Hilbert spaces se...
AbstractWe develop in this paper the Mourre theory for an abstract class of fibered self-adjoint ope...
We present here some results obtained with C. G\’erard about the Mourre theory for a class of operat...
In general, it is a non-trivial task to determine the adjoint (Formula presented.) of an unbounded o...
Dans cette thèse, nous nous intéressons à l’étude du spectre essentiel d’opérateurs de Schrödinger e...
International audienceMourre's commutator theory is a powerful tool to study the continuous spectrum...
In this paper we give a generalization of self-adjoint operators defined on a Hilbert space which we...
This thesis is divided as follows: The first chapter introduces the main ideas intuitively while as...
The Hilbert space effect algebra is a fundamental mathematical structure which is used to describe u...
Analogous to the notion of mutually unbiased bases for Hilbert spaces, we consider mutually unbiase...
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption pri...
Since the late 1960's mathematicians working mainly in the area of quantum field theory have used c...
AbstractThe present paper gives an abstract method to prove that possibly embedded eigenstates of a ...
AbstractBy the method of direction wave operators, we prove that absolutely continuous parts of comm...
AbstractWe give a proof in an abstract setting of various resolvent estimates including the limiting...