X. Dai

activity

20052021

most citedFrom Weyl-Heisenberg Frames to Infinite Quadratic Forms

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.FA2021

Euclidean Algebras

Xingde Dai, Wei Huang

We introduce a new example of unital commutative $n$ -dimensional group algebra $R_{n}$ for $n \geq 2$ . The algebra $R_{n}$ and the complex numbers $C$ are as…

math.FA2019

Isomorphism in Wavelets

Xingde Dai, Wei Huang

Two scaling functions $φ_{A}$ and $φ_{B}$ for Parseval frame wavelets are algebraically isomorphic, $φ_{A} ≃ φ_{B}$ , if they have matching solutions to their (reduced) isomorphic syst…

math.FA2016

Equations For Parseval's Frame Wavelets In $L^{2} (R^{d})$ With Compact Supports

Xingde Dai

Let $d \geq 1$ be a natural number and $A_{0}$ be a $d \times d$ expansive integral matrix with determinant $\pm 2.$ Then $A_{0}$ is integrally similar to an integral matrix $A$ with cer…

math.FA2015★ 1 cited

Equations For Frame Wavelets In $L^{2} (R^{2})$

Xingde Dai

We establish system of equations for single function normalized tight frame wavelets with compact supports associated with $2 \times 2$ expansive integral matrices in $L^{2} (R^{2})$ .

math.FA2005

Weyl-Heisenberg Frame Wavelets with Basic Supports

Xunxiang Guo, Yuanan Diao, Xingde Dai

Let $a$ , $b$ be two fixed non-zero constants. A measurable set $E \subset R$ is called a Weyl-Heisenberg frame set for $(a, b)$ if the function $g = χ_{E}$ generates a Weyl-H…

math.FA2005★ 2 cited

From Weyl-Heisenberg Frames to Infinite Quadratic Forms