Pu-Ting Yu

collaborators

3 papers

math.FA2025

Spectrum of normal operators that generate certain scalable iterative systems

Pu-Ting Yu

Let $A : H \to H$ be a normal operator on an infinite-dimensional separable Hilbert space $H$ and let $S \subseteq H$ be a finite subset such that $\{A^nx\}_{n\geq 0,\,x\…

math.FA2025

Existence of Unconditional Frames Formed By System of Translates in Modulation Spaces

Pu-Ting Yu

Let $1 \leq p \leq 2$ and let $Λ = {λ_{n}}_{n \in N} \subseteq R$ be an arbitrary subset. We prove that for any $g \in M^{p} (R)$ with $1 \leq p \leq 2$ the system…

math.FA2024

Gabor frames with atoms in M^q(R) but not in M^p(R) for any 1\leq p < q \leq 2

Pu-Ting Yu

This paper consists of two parts. In the first half, we solve the question raised by Heil as to whether the atom of a Gabor frame must be in $M^{p} (R)$ for some $1 < p < 2$ . Spe…