T. Schlumprecht

activity

19922023

most citedCoefficient Quantization for Frames in Banach Spaces

51 citations · 253 across the 61 of their papers we have counts for

collaborators

Showing 2009Show all

5 papers · 1 filter

math.FA2009

Greedy bases for Besov spaces

S. J. Dilworth, D. Freeman, E. Odell +1

We prove thatthe Banach space $(\oplus_{n = 1}^{\infty} ℓ_{p}^{n})_{ℓ_{q}}$ , which is isomorphic to certain Besov spaces, has a greedy basis whenever $1 \leq p \leq \infty$ and $1<q<\inf…

math.FA2009★ 3 cited

Systems formed by translates of one element in $L_{p} (R)$

E. Odell, B. Sari, Th. Schlumprecht +1

Let $1 \leq p < \infty$ , $f \in L_{p} (ℜ)$ and $Λ \subseteq ℜ$ . We consider the closed subspace of $L_{p} (ℜ)$ , $X_{p} (f, Λ)$ , generated by the set of translations $f_{(λ)}$ of $f$ …

math.CA2009

Nonuniform sampling and recovery of multidimensional bandlimited functions by Gaussian radial-basis functions

A. Bailey, Th. Schlumprecht, N. Sivakumar

Let $S \subset R^{d}$ be a bounded subset with positive Lebesgue measure. The Paley-Wiener space associated to $S$ , $P W_{S}$ , is defined to be the set of all square-integrable functions…

math.FA2009★ 2 cited

On the convergence of greedy algorithms for initial segments of the Haar basis

S. J. Dilworth, E. Odell, Th. Schlumprecht +1

We consider the $X$ -Greedy Algorithm and the Dual Greedy Algorithm in a finite-dimensional Banach space with a strictly monotone basis as the dictionary. We show that when the dict…

math.FA2009★ 1 cited

The universality of $ℓ_{1}$ as a dual space

Daniel Freeman, Edward Odell, Thomas Schlumprecht

Let $X$ be a Banach space with a separable dual. We prove that $X$ embeds isomorphically into a $\cL_\infty$ space $Z$ whose dual is isomorphic to $ℓ_{1}$ . If, moreover, $U$ is a…