Pu-Ting Yu

activity

20222026

collaborators

7 papers

math.CA2026

Gabor frames with no Gabor duals

Pu-Ting Yu

Let $H$ be an infinite-dimensional Hilbert space and let $\set{x_n}\inN$ be a frame for $H$ . We say that a sequence $\set{y_n}\inN$ is an \emph{alternative dual} of $\set{x_n}\inN$…

math.CA2026

Woven weighted exponentials

Rohit Pai, Ivan Rocha, Pu-Ting Yu

Let $f$ and $g$ be nonzero functions in $L^{2} ([0, 1])$ . The \emph{woven weighted exponential system} (associated with $f$ and $g$ ) is defined by $$\Wc(f,g)=\bigset{\set{fe^{2πi nt}}_…

math.CA2026

Every semi-normalized unconditional Schauder frame in Hilbert spaces contains a frame

Pu-Ting Yu

Let $H$ be an infinite-dimensional Hilbert space. We prove that every unconditional Schauder frame for $H$ contains a subsequence that can be normalized to form a frame for $H$ . As…

math.FA2026

Uniform discretization of continuous frames

Marcin Bownik, Pu-Ting Yu

Let $H$ be an infinite-dimensional separable Hilbert space and let $(X, d, μ)$ be a metric measure space satisfying the doubling and upper Alhfors regularity conditions at small scal…

math.CA2023

Frame-normalizable Sequences

Pu-Ting Yu

Let $H$ be a separable Hilbert space and let ${x_{n}}$ be a sequence in $H$ that does not contain any zero elements. We say that ${x_{n}}$ is a \emph{Bessel-normalizable} or \emph{…

math.FA2023

$ℓ^{1}$ -Bounded Sets

Christopher Heil, Pu-Ting Yu

A subset $M$ of a separable Hilbert space $H$ is $ℓ^{1}$ -bounded if there exists a Riesz basis $F = {e_{n}}_{n \in N}$ for $H$ such that $\sup_{x \in M} \sum_{n…

math.CA2022

Convergence of frame series

Christopher Heil, Pu-Ting Yu

If ${x_{n}}_{n \in N}$ is a frame for a Hilbert space $H,$ then there exists a canonical dual frame ${x_{n} ~}_{n \in N}$ such that for every $x \in H$ we h…

Gabor frames with no Gabor duals

Woven weighted exponentials

Every semi-normalized unconditional Schauder frame in Hilbert spaces contains a frame

Uniform discretization of continuous frames

Frame-normalizable Sequences

ℓ1-Bounded Sets

Convergence of frame series

$ℓ^{1}$ -Bounded Sets