Pu-Ting Yu

collaborators

4 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

Operations that are incompatible with certain systems of translates in $L^{2} (R)$

Pu-Ting Yu

We say that closed subspace $M$ of $L^{2} (R)$ admits a \emph{complete set of semi-regular a-translates} if there exist some $a > 0$ , finitely many functions $g_{1}, \dots, g_{N}$ , some subs…

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…

Spectrum of normal operators that generate certain scalable iterative systems

Operations that are incompatible with certain systems of translates in L2(R)

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

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

Operations that are incompatible with certain systems of translates in $L^{2} (R)$