李云章

2026

Pairs of Compactly Supported Gabor Dual Frames with High Smoothness and Small Condition Numbers

Journal of Fourier Analysis and Applications

DOI

2026

Rational time-frequency oblique dual Gabor frames based on the direct sum decomposition of L2(ℝ)

Analysis and Applications

DOI

2026

2–Frames and 2–Riesz bases associated with Hilbert spaces

International Journal of Wavelets Multiresolution and Information Processing

DOI

2026

Subspace Gabor frames and their (weak) Gabor duals on periodic subsets of the half real line

Banach Journal of Mathematical Analysis

DOI

2026

Some 2-norm-based deviation estimations associated with the Fourier partial sum

International Journal of Wavelets Multiresolution and Information Processing

DOI

2025

Operator sequence-based phase retrieval on quaternionic left Hilbert spaces

Analysis and Applications

DOI

2025

The Duality Principle and Biorthogonality Relation on Quaternionic Gabor Systems

Journal of Fourier Analysis and Applications

DOI

2025

Extensions of Co-Compact Gabor Frames on Locally Compact Abelian Groups and Applications

Publications of the Research Institute for Mathematical Sciences

DOI

2025

Properties and constructions of Hilbert-Schmidt biframes

Journal of Pseudo-Differential Operators and Applications

DOI

2025

Approximate Oblique Dual Frames for Krein Spaces

Mathematical Methods in the Applied Sciences

DOI

2025

Quaternionic Generalized Norm Retrieval in Quaternion Euclidean Spaces

Advances in Applied Clifford Algebras

DOI

2025

Quaternionic Generalized Affine Phase Retrieval and Its Topological Properties in Quaternion Euclidean Spaces

Results in Mathematics

DOI

2025

Oblique Duals of Generalized Hilbert–Schmidt Frames

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2025

On weaving operator-valued frames

International Journal of Wavelets Multiresolution and Information Processing

DOI

2024

Hilbert-Schmidt框架的广义交叉Gram矩阵

《数学学报(中文版)》

2024

Characterization and Construction of Approximate Q -Oblique Dual g-Frames

Numerical Functional Analysis and Optimization

DOI

2024

Dilations of (dual) frames for Krein spaces

International Journal of Wavelets Multiresolution and Information Processing

DOI

2024

Affine phase retrieval of quaternion signals

Linear and Multilinear Algebra

DOI

2024

Quaternionic Subspace Gabor Frames and Their Duals

Advances in Applied Clifford Algebras

DOI

2024

Generalized phase retrieval in quaternion Euclidean spaces

Mathematical Methods in the Applied Sciences

DOI

2024

Frames and Dual Frames for Krein Spaces

Numerical Functional Analysis and Optimization

DOI

2024

Making more approximate oblique dual frame pairs

Annals of Functional Analysis

DOI

2024

Phase Retrieval in Quaternion Euclidean Spaces

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2024

Gabor frame multipliers and Parseval duals on the half real line

International Journal of Wavelets Multiresolution and Information Processing

DOI

2024

Generalized Dual Hilbert–Schmidt Frames and Their Topological Properties

Results in Mathematics

DOI

2024

Conjugate phase retrieval on general Hilbert spaces

Linear and Multilinear Algebra

DOI

2024

What conjugate phase retrieval complex vectors can do in quaternion Euclidean spaces

Forum Mathematicum

DOI

2023

四元数Hilbert空间中Riesz基的刻画

《数学年刊A辑(中文版)》

2023

Rationally sampled Gabor frames on the half real line

Journal of Mathematical Analysis and Applications

DOI

2023

Characterization of rationally sampled quaternionic dual Gabor frames

Mathematical Methods in the Applied Sciences

DOI

2023

A class of quaternionic Fourier orthonormal bases

Forum Mathematicum

DOI

2023

Publisher Correction: Quaternionic Gabor frame characterization and the density theorem

Banach Journal of Mathematical Analysis

DOI

2023

Quaternionic Gabor frame characterization and the density theorem

Banach Journal of Mathematical Analysis

DOI

2023

A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line

Numerical Functional Analysis and Optimization

DOI

2023

A class of reproducing systems generated by a finite family in $$L^2({\mathbb {R}}_+)$$

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2023

Spline function generating Gabor systems on the half real line

Mathematical Methods in the Applied Sciences

DOI

2023

A time domain characterization of weak Gabor dual frames on the half real line

Filomat

DOI

2022

Extensions of modulation-dilation Bessel Systems in $$L^2({\mathbb R}_+)$$

Collectanea mathematica

DOI

2022

Frame Properties of Hilbert–Schmidt Operator Sequences

Mediterranean Journal of Mathematics

DOI

2022

Portraits and Perturbations of Hilbert–Schmidt Frame Sequences

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2022

Dilation-and-modulation Parseval frames in the half space

International Journal of Wavelets Multiresolution and Information Processing

DOI

2022

A characterization of nonhomogeneous dual and weak dual wavelet superframes for Walsh‐reducing subspace of L2(ℝ+,ℂL)$$ {L}^2\left({\mathbb{R}}_{+},{\mathbb{C}}^L\right) $$

Mathematical Methods in the Applied Sciences

DOI

2022

Dilations of (dual) Hilbert–Schmidt frames

Annals of Functional Analysis

DOI

2022

Dilation‐and‐modulation frame sets on the half real line

Mathematical Methods in the Applied Sciences

DOI

2022

Near Riesz and Besselian Hilbert–Schmidt operator sequences

International Journal of Wavelets Multiresolution and Information Processing

DOI

2021

Hilbert空间中控制连续g-框架

《数学学报(中文版)》

2021

四元数Hilbert空间中近似对偶与对偶标架

《数学学报(中文版)》

2021

Some Identities and Inequalities for $$F_a$$-Frame Sequences in $$L^2(\mathbb {R}_+)$$

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2021

Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+)

International Journal of Wavelets Multiresolution and Information Processing

DOI

2021

Duality relations associated with weak g-R-duals

Linear and Multilinear Algebra

DOI

2021

Hilbert–Schmidt frames and their duals

International Journal of Wavelets Multiresolution and Information Processing

DOI

2021

Duality Principles for $$F_a$$-Frame Theory in $$L^2({\mathbb {R}}_+)$$

Bulletin of the Malaysian Mathematical Sciences Society

DOI

2021

Constructing more K-frames

Linear Algebra and its Applications

DOI

2021

Making and Sharing K-Dual Frame Pairs

Numerical Functional Analysis and Optimization

DOI

2020

半直线伸缩调制框架集

《数学学报(中文版)》

2020

广义框架的不相交性

《数学物理学报》

2020

Duality principles in Hilbert‐Schmidt frame theory

Mathematical Methods in the Applied Sciences

DOI

2020

Duality relations for a class of generalized weak R-duals

International Journal of Wavelets Multiresolution and Information Processing

DOI

2020

Multi-window dilation-and-modulation frames on the half real line

Science China Mathematics

DOI

2020

The formation and portraits of subspaceFa-frames

Linear and Multilinear Algebra

DOI

2020

The equivalence of $F_{a}$-frames

Journal of Inequalities and Applications

DOI

2020

Continuous g ‐frame and g ‐Riesz sequences in Hilbert spaces

Mathematical Methods in the Applied Sciences

DOI

2020

On a class of weak R-duals and the duality relations

Banach Journal of Mathematical Analysis

DOI

2019

单个生成元Walsh p-进制平移不变空间伸缩的交与并

《数学学报(中文版)》

2019

The Density Theorem of a Class of Dilation-and-Modulation Systems on the Half Real Line

Results in Mathematics

DOI

2019

The K-dual Bessel generators for unitary groups of Hilbert spaces

Journal of Mathematical Analysis and Applications

DOI

2019

Vector-valued weak Gabor dual frames on discrete periodic sets

Journal of Mathematical Physics

DOI

2019

G-Frame and Riesz Sequences in Hilbert Spaces

Numerical Functional Analysis and Optimization

DOI

2019

Tensor product dual frames

Journal of Inequalities and Applications

DOI

2018

实直线周期子集上的向量值子空间弱Gabor双框架

《数学学报(中文版)》

2018

关于g-框架的一些参数化不等式

《北京工业大学学报》

2018

离散周期集上的弱Gabor双框架

《中国科学:数学》

2018

Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals

Journal of Inequalities and Applications

DOI

2018

A class of vector-valued subspace weak Gabor duals of type II

International Journal of Wavelets Multiresolution and Information Processing

DOI

2018

A time domain characterization of vector-valued subspace weak Gabor bi-frames

Journal of Inequalities and Applications

DOI

2018

Weak Affine Super Bi-frames for Reducing Subspaces of $$L^{2}(\mathbb R,\,\mathbb C^{L})$$ L 2 ( R , C L )

Results in Mathematics

DOI

2018

A class of vector‐valued dilation‐and‐modulation frames on the half real line

Mathematical Methods in the Applied Sciences

DOI

2018

F_a-frame and Riesz sequences in L^2(ℝ_+)

DOI

2017

近似对偶g-框架的刻画

《北京工业大学学报》

2017

Extension principles for affine dual frames in reducing subspaces

Applied and Computational Harmonic Analysis

DOI

2017

On a class of weak nonhomogeneous affine bi-frames for reducing subspaces of L 2(ℝ d )

Acta Mathematica Sinica English Series

DOI

2017

Subspace dual super wavelet and Gabor frames

Science China Mathematics

DOI

2017

Partial affine system–based frames and dual frames

Mathematical Methods in the Applied Sciences

DOI

2017

Nonhomogeneous dual wavelet frames and mixed oblique extension principles in Sobolev spaces

Applicable Analysis

DOI

2016

Weak Nonhomogeneous Wavelet Bi-Frames for Reducing Subspaces of Sobolev Spaces

Numerical Functional Analysis and Optimization

DOI

2016

A characterization of nonhomogeneous wavelet dual frames in Sobolev spaces

Journal of Inequalities and Applications

DOI

2016

Some new inequalities for continuous fusion frames and fusion pairs

SpringerPlus

DOI

2016

Dilation-and-modulation systems on the half real line

Journal of Inequalities and Applications

DOI

2015

Weak Gabor bi-frames on periodic subsets of the real line

International Journal of Wavelets Multiresolution and Information Processing

DOI

2015

Vector-valued Gabor frames associated with periodic subsets of the real line

Applied Mathematics and Computation

DOI

2014

Refinable Function-Based Construction of Weak (Quasi-)Affine Bi-Frames

Journal of Fourier Analysis and Applications

DOI

2014

Weak (quasi-)affine bi-frames for reducing subspaces of L 2(ℝ d )

Science China Mathematics

DOI

2014

CHARACTERIZATION OF RATIONAL TIME-FREQUENCY MULTI-WINDOW GABOR FRAMES AND THEIR DUALS

Journal of the Korean Mathematical Society

DOI

2014

A characterization of dimension functions of a class of semi‐orthogonal Parseval frame wavelets

Mathematical Methods in the Applied Sciences

DOI

2013

The Equivalence Between Seven Classes of Wavelet Multipliers and Arcwise Connectivity They Induce

Journal of Fourier Analysis and Applications

DOI

2013

RATIONAL TIME-FREQUENCY GABOR FRAMES ASSOCIATED WITH PERIODIC SUBSETS OF THE REAL LINE

International Journal of Wavelets Multiresolution and Information Processing

DOI

2013

The construction of multivariate periodic wavelet bi-frames

Journal of Mathematical Analysis and Applications

DOI

2013

Lattice tiling and density conditions for subspace Gabor frames

Journal of Functional Analysis

DOI

2013

Rational time-frequency multi-window subspace Gabor frames and their Gabor duals

Science China Mathematics

DOI

2013

Rational time–frequency super Gabor frames and their duals

Journal of Mathematical Analysis and Applications

DOI

2013

RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM

International Journal of Wavelets Multiresolution and Information Processing

DOI

2013

Super Oblique Gabor Duals of Super Gabor Frames on Discrete Periodic Sets

Numerical Functional Analysis and Optimization

DOI

2013

Discrete Subspace Multiwindow Gabor Frames and Their Duals

Abstract and Applied Analysis

DOI

2012

Supports of fourier transforms of refinable frame functions and their applications to FMRA

Acta Mathematicae Applicatae Sinica English Series

DOI

2012

Generalized multiresolution structures in reducing subspaces of L 2(ℝ d )

Science China Mathematics

DOI

2012

An embedding theorem on reducing subspace frame multiresolution analysis

Kodai Mathematical Journal

DOI

2011

Construction of a class of multivariate compactly supported wavelet bases for L 2(ℝ d )

Frontiers of Mathematics

DOI

2011

Super Gabor frames on discrete periodic sets

Advances in Computational Mathematics

DOI

2011

The characterization of a class of multivariate MRA and semi-orthogonal parseval frame wavelets

Applied Mathematics and Computation

DOI

2011

Multi-window Gabor frames and oblique Gabor duals on discrete periodic sets

Science China Mathematics

DOI

2011

GMRA-BASED CONSTRUCTION OF FRAMELETS IN REDUCING SUBSPACES OF L2(ℝd)

International Journal of Wavelets Multiresolution and Information Processing

DOI

2011

On the aliasing error in a class of bidimensional wavelet subspaces

Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao

DOI

2010

L2（Rd）中约化子空间上的仿射与伪仿射对偶小波标架

《数学学报(中文版)》

2010

Gabor frame sets for subspaces

Advances in Computational Mathematics

DOI

2009

主平移不变子空间的平移整采样

《数学年刊A辑(中文版)》

2009

一类高维FMRA小波标架

《数学学报(中文版)》

2009

The spectrum sequences of periodic frame multiresolution analysis

Acta Mathematica Sinica English Series

DOI

2009

Gabor systems on discrete periodic sets

Science in China Series A Mathematics

DOI

2009

Tight Gabor Sets on Discrete Periodic Sets

Acta Applicandae Mathematicae

DOI

2009

The duals of Gabor frames on discrete periodic sets

Journal of Mathematical Physics

DOI

2008

Density results for Gabor systems associated with periodic subsets of the real line

Journal of Approximation Theory

DOI

2006

Holes in the spectrum of functions generating affine systems

Proceedings of the American Mathematical Society

DOI

2005

A Class of Bidimensional FMRA Wavelet Frames

Acta Mathematica Sinica English Series

DOI

2005

On the construction of a class of bidimensional nonseparable compactly supported wavelets

Proceedings of the American Mathematical Society

DOI

2005

A note on Gabor orthonormal bases

Proceedings of the American Mathematical Society

DOI

2004

A REMARK ON THE ORTHOGONALITY OF A CLASS BIDIMENSIONAL NONSEPARABLE WAVELETS

Acta Mathematica Scientia

DOI

2003

On the holes of a class of bidimensional nonseparable wavelets

Journal of Approximation Theory

DOI

2002

On a class of bidimensional nonseparable wavelet multipliers

Journal of Mathematical Analysis and Applications

DOI

2002

A class of bidimensional nonseparable wavelet packets

Acta Mathematica Scientia

DOI

2001

Lp空间中的多变量Subdivision算法（英文）

《数学进展》

2001

一种非正交的“分裂技巧”(英文)

《工程数学学报》

2000

关于连续细分方程的一个注记(英文)

《工程数学学报》

1999

具有多项式衰减和指数衰减的细分函数与细分模块

《数学年刊A辑(中文版)》

1999

一类二维非可分细分函数的正则性估计

《数学学报(中文版)》

2021

A Survey on the Time-Frequency Analysis on the Half Real Line

Trends in mathematics

DOI