AbstractThis paper studies the structure of shift-invariant spaces. A characterization for the univariate shift-invariant spaces of tempered distributions is given. In Lp case, an inclusive relation in terms of Fourier transform is established
We study the space of tempered ultradistributions whose convolutions with test functions are all con...
In this paper we generalize the Fourier transform from the space of tempered distributions to a bigg...
AbstractThe paper considers a class of Banach spaces ΔS(Fp(Rn)), for s > 0 and 1 ⩽ p < ∞, where Fp(R...
A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered dis...
A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered dis...
AbstractA space of pseudoquotients is introduced that is shown to be isomorphic to the space of temp...
AbstractFor a tempered distribution with ℓ1 decay, we characterize its stable shifts via its Fourier...
In this paper, we prove the structure theorems for the space of compactly supported distributions (E...
AbstractThis paper studies the structure of shift-invariant spaces. A characterization for the univa...
The shift-invariant spaces are closed subspaces of L2.Rn / that are invariant under all shifts (i.e....
An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tem...
Shift-invariant spaces play an important role in sampling theory, multiresolution analysis, and many...
A shift-invariant space is a space of functions that is invariant under integer translations. Such s...
AbstractMultiresolution analysis of tempered distributions is studied through multiresolution analys...
We study two spaces of Ultradistributions which arise in the work of J. Sebastiao e Silva as extensi...
We study the space of tempered ultradistributions whose convolutions with test functions are all con...
In this paper we generalize the Fourier transform from the space of tempered distributions to a bigg...
AbstractThe paper considers a class of Banach spaces ΔS(Fp(Rn)), for s > 0 and 1 ⩽ p < ∞, where Fp(R...
A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered dis...
A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered dis...
AbstractA space of pseudoquotients is introduced that is shown to be isomorphic to the space of temp...
AbstractFor a tempered distribution with ℓ1 decay, we characterize its stable shifts via its Fourier...
In this paper, we prove the structure theorems for the space of compactly supported distributions (E...
AbstractThis paper studies the structure of shift-invariant spaces. A characterization for the univa...
The shift-invariant spaces are closed subspaces of L2.Rn / that are invariant under all shifts (i.e....
An extension of the Fourier transform which is a one-to-one continuous mapping from the space of tem...
Shift-invariant spaces play an important role in sampling theory, multiresolution analysis, and many...
A shift-invariant space is a space of functions that is invariant under integer translations. Such s...
AbstractMultiresolution analysis of tempered distributions is studied through multiresolution analys...
We study two spaces of Ultradistributions which arise in the work of J. Sebastiao e Silva as extensi...
We study the space of tempered ultradistributions whose convolutions with test functions are all con...
In this paper we generalize the Fourier transform from the space of tempered distributions to a bigg...
AbstractThe paper considers a class of Banach spaces ΔS(Fp(Rn)), for s > 0 and 1 ⩽ p < ∞, where Fp(R...
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