It is proved that there does not exist any non zero function in with if its Fourier transform is supported by a set of finite packing -measure where . It is shown that the assertion fails for . The result is applied to prove L-p Wiener Tauberian theorems for R-n and M(2)
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral oper...
summary:We give sufficient conditions for the support of the Fourier transform of a certain class of...
One of the main purposes of this paper is to obtain estimates for Fourier transforms of functions in...
It is proved that there does not exist any non zero function in with if its Fourier transform is sup...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
This paper is a study of the dimension of certain subspaces M of L2(R) defined by prescribing the su...
Abstract. The Fourier transforms of functions with compact and convex supports as well as with non-c...
We prove that if E ⊆ G ̂ does not contain parallelepipeds of arbitrarily large dimension then for an...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
An explicit example of such a function is provided. It is tacitly understood that the power of the L...
It is well known that if the supports of a function f ε L1(Rd) and its Fourier transform ∖ are conta...
AbstractIt is well known that if the supports of a function f ϵ L1(Rd) and its Fourier transform \̂t...
AbstractWe characterize the functions in Lp(Rn) and generalized functions in D′Lp (Rn), 1<p<∞, whose...
Let X be a Banach space and $f ∈ L^1_loc(ℝ;X)$ be absolutely regular (i.e. integrable when divided b...
In this paper, we investigate the mapping properties of periodic Fourier integral operators in L-p(T...
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral oper...
summary:We give sufficient conditions for the support of the Fourier transform of a certain class of...
One of the main purposes of this paper is to obtain estimates for Fourier transforms of functions in...
It is proved that there does not exist any non zero function in with if its Fourier transform is sup...
A fundamental theme in classical Fourier analysis relates smoothness properties of functions to the ...
This paper is a study of the dimension of certain subspaces M of L2(R) defined by prescribing the su...
Abstract. The Fourier transforms of functions with compact and convex supports as well as with non-c...
We prove that if E ⊆ G ̂ does not contain parallelepipeds of arbitrarily large dimension then for an...
AbstractWe give a criterion for the intersection of two projections in Hilbert space to be a project...
An explicit example of such a function is provided. It is tacitly understood that the power of the L...
It is well known that if the supports of a function f ε L1(Rd) and its Fourier transform ∖ are conta...
AbstractIt is well known that if the supports of a function f ϵ L1(Rd) and its Fourier transform \̂t...
AbstractWe characterize the functions in Lp(Rn) and generalized functions in D′Lp (Rn), 1<p<∞, whose...
Let X be a Banach space and $f ∈ L^1_loc(ℝ;X)$ be absolutely regular (i.e. integrable when divided b...
In this paper, we investigate the mapping properties of periodic Fourier integral operators in L-p(T...
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral oper...
summary:We give sufficient conditions for the support of the Fourier transform of a certain class of...
One of the main purposes of this paper is to obtain estimates for Fourier transforms of functions in...
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