Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series

@article{Antezana2021SplittingTR,
  title={Splitting the Riesz basis condition for systems of dilated functions through Dirichlet series},
  author={Jorge Antezana and Daniel Carando and Melisa Scotti},
  journal={Journal of Mathematical Analysis and Applications},
  year={2021}
}
1 Citations
Multipliers for Hardy spaces of Dirichlet series
We characterize the space of multipliers from the Hardy space of Dirichlet series H 𝑝 into H 𝑞 for every 1 ≤ 𝑝, 𝑞 ≤ ∞ . For a fixed Dirichlet series, we also investigate some structural properties

References

SHOWING 1-10 OF 20 REFERENCES
Integral means and boundary limits of Dirichlet series
This paper deals with the boundary behaviour of functions in the Hardy spaces ℋp for ordinary Dirichlet series. The main result, answering a question of Hedenmalm, shows that the classical Carlson
The periodic dilation completeness problem: cyclic vectors in the Hardy space over the infinite‐dimensional polydisk
  • Hui Dan, K. Guo
  • Mathematics
    Journal of the London Mathematical Society
  • 2020
The classical completeness problem raised by Beurling and independently by Wintner asks for which ψ∈L2(0,1) , the dilation system {ψ(kx):k=1,2,…} is complete in L2(0,1) , where ψ is identified with
Isometries between spaces of multiple Dirichlet series
In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc
— Completeness of a dilation system (φ(nx))n>1 on the standard Lebesgue space L2(0, 1) is considered for 2-periodic functions φ. We show that the problem is equivalent to an open question on cyclic
Spaces of Dirichlet Series
This work is dedicated to the study of multiple Dirichlet series and it focuses on three main aspects: convergence, spaces of bounded multiple Dirichlet series and the composition operators of such
Diophantine approximation and dirichlet series
This self-contained book will benefit beginners as well as researchers. It is devoted to Diophantine approximation, the analytic theory of Dirichlet series, and some connections between these two
On the shift semigroup on the Hardy space of Dirichlet series
AbstractWe develop a Wold decomposition for the shift semigroup on the Hardy space $$ \mathcal{H}^2 $$ of square summable Dirichlet series convergent in the half-plane $$ \Re (s) > 1/2 $$. As an
Frames Versus Riesz Bases
As we have seen, a frame {f k } k=1 ∞ in a Hilbert space H has one of the main properties of a basis: given f ∈ H, there exist coefficients {c k } k=1 ∞ ∈ l 2(ℕ) such that f = ∑ k=1 ∞ c k f k . This
A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$
For a function $\varphi$ in $L^2(0,1)$, extended to the whole real line as an odd periodic function of period 2, we ask when the collection of dilates $\varphi(nx)$, $n=1,2,3,\ldots$, constitutes a
Fourier Analysis on Groups
In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact
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