AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a projection of finite-dimensional range. This criterion is applied to Schrödinger operators in L2(Rn) and to the problem of determining whether there are functions f in Lv(Rn) such that both f and its Fourier transform have prescribed support
We prove that if E ⊆ G ̂ does not contain parallelepipeds of arbitrarily large dimension then for an...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
This paper is a study of the dimension of certain subspaces M of L2(R) defined by prescribing the su...
It is proved that there does not exist any non zero function in with if its Fourier transform is sup...
International audienceWe show that the range of a contractive projection on a Lebesgue-Bochner space...
In this paper we apply a method of spectral theory of linear operators [10] to establish relations b...
AbstractA necessary and sufficient condition for a Hermitian operator on a Hilbert space to be expre...
In this work we extend the classical definition of Hilbert transform to the Marcinkiewicz space Mp(R...
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k =...
Abstract. In this paper we define the Lp-mixed curvature function of a convex body. We develop a for...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
AbstractWe characterize the functions in Lp(Rn) and generalized functions in D′Lp (Rn), 1<p<∞, whose...
We prove that if E ⊆ G ̂ does not contain parallelepipeds of arbitrarily large dimension then for an...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
This paper is a study of the dimension of certain subspaces M of L2(R) defined by prescribing the su...
It is proved that there does not exist any non zero function in with if its Fourier transform is sup...
International audienceWe show that the range of a contractive projection on a Lebesgue-Bochner space...
In this paper we apply a method of spectral theory of linear operators [10] to establish relations b...
AbstractA necessary and sufficient condition for a Hermitian operator on a Hilbert space to be expre...
In this work we extend the classical definition of Hilbert transform to the Marcinkiewicz space Mp(R...
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k =...
Abstract. In this paper we define the Lp-mixed curvature function of a convex body. We develop a for...
Fourier restriction theorems, whose study had been initiated by E. M. Stein, usually describe a fami...
AbstractA spectral representation for the self-adjoint Schrödinger operator H = −Δ + V(x), x ϵ R3, i...
AbstractWe characterize the functions in Lp(Rn) and generalized functions in D′Lp (Rn), 1<p<∞, whose...
We prove that if E ⊆ G ̂ does not contain parallelepipeds of arbitrarily large dimension then for an...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...
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