Li, Yun-Zhang; Zhang, Xiao-Li Characterization of rationally sampled quaternionic dual Gabor frames. (English) Zbl 07823735 Math. Methods Appl. Sci. 47, No. 2, 1095-1112 (2024). MSC: 42C15 46S10 42C40 PDFBibTeX XMLCite \textit{Y.-Z. Li} and \textit{X.-L. Zhang}, Math. Methods Appl. Sci. 47, No. 2, 1095--1112 (2024; Zbl 07823735) Full Text: DOI
Zhang, Lingjia; Wei, Ruoyu; Cao, Jinde; Ding, Xiaoshuai Synchronization control of quaternion-valued inertial memristor-based neural networks via adaptive method. (English) Zbl 07823710 Math. Methods Appl. Sci. 47, No. 2, 581-599 (2024). MSC: 68T07 PDFBibTeX XMLCite \textit{L. Zhang} et al., Math. Methods Appl. Sci. 47, No. 2, 581--599 (2024; Zbl 07823710) Full Text: DOI
Li, Ming-Zhao; Yuan, Shi-Fang; Jiang, Hua Direct methods on \(\eta\)-Hermitian solutions of the split quaternion matrix equation \((A X B, C X D) = (E, F)\). (English) Zbl 07795457 Math. Methods Appl. Sci. 46, No. 15, 15952-15971 (2023). MSC: 65F05 65H10 15B33 PDFBibTeX XMLCite \textit{M.-Z. Li} et al., Math. Methods Appl. Sci. 46, No. 15, 15952--15971 (2023; Zbl 07795457) Full Text: DOI
Sahbani, Jihed; Guettiti, Takoua Prolate spheroidal wave functions associated with the canonical Fourier-Bessel transform and uncertainty principles. (English) Zbl 07793782 Math. Methods Appl. Sci. 46, No. 14, 15506-15525 (2023). MSC: 42A38 44A15 33C55 94A12 PDFBibTeX XMLCite \textit{J. Sahbani} and \textit{T. Guettiti}, Math. Methods Appl. Sci. 46, No. 14, 15506--15525 (2023; Zbl 07793782) Full Text: DOI
Gao, Wen-Biao; Li, Bing-Zhao Theories and applications associated with biquaternion linear canonical transform. (English) Zbl 07790777 Math. Methods Appl. Sci. 46, No. 12, 13124-13141 (2023). MSC: 42A38 11R52 94A12 PDFBibTeX XMLCite \textit{W.-B. Gao} and \textit{B.-Z. Li}, Math. Methods Appl. Sci. 46, No. 12, 13124--13141 (2023; Zbl 07790777) Full Text: DOI
Cai, Zhenfeng; Ian Kou, Kit Three-dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain. (English) Zbl 07790751 Math. Methods Appl. Sci. 46, No. 12, 12675-12689 (2023). MSC: 44A05 30G35 94A08 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{K. Ian Kou}, Math. Methods Appl. Sci. 46, No. 12, 12675--12689 (2023; Zbl 07790751) Full Text: DOI arXiv
Arabyani-Neyshaburi, Fahimeh; Farshchian, Ramin; Kamyabi-Gol, Rajab Ali Matrix methods for perfect signal recovery underlying range space of operators. (English) Zbl 07790733 Math. Methods Appl. Sci. 46, No. 12, 12273-12290 (2023). MSC: 42C15 42C40 41A58 94A12 PDFBibTeX XMLCite \textit{F. Arabyani-Neyshaburi} et al., Math. Methods Appl. Sci. 46, No. 12, 12273--12290 (2023; Zbl 07790733) Full Text: DOI
Fahad, Hafiz Muhammad; Rehman, Mujeeb ur; Fernandez, Arran On Laplace transforms with respect to functions and their applications to fractional differential equations. (English) Zbl 07782483 Math. Methods Appl. Sci. 46, No. 7, 8304-8323 (2023). MSC: 44A10 26A33 34A08 34A25 44A35 PDFBibTeX XMLCite \textit{H. M. Fahad} et al., Math. Methods Appl. Sci. 46, No. 7, 8304--8323 (2023; Zbl 07782483) Full Text: DOI arXiv
Goyal, Prashant; Patel, Dhiraj; Sivananthan, S. Random sampling and reconstruction in reproducing kernel subspace of mixed Lebesgue spaces. (English) Zbl 07782102 Math. Methods Appl. Sci. 46, No. 5, 5119-5138 (2023). MSC: 42A61 42C15 94A20 26D15 47B34 PDFBibTeX XMLCite \textit{P. Goyal} et al., Math. Methods Appl. Sci. 46, No. 5, 5119--5138 (2023; Zbl 07782102) Full Text: DOI
Li, Jinlan; Xie, Zhaoyang; Liu, Guoqi; Yang, Liu; Zou, Jian Diffusion optical tomography reconstruction based on convex-nonconvex graph total variation regularization. (English) Zbl 07781812 Math. Methods Appl. Sci. 46, No. 4, 4534-4545 (2023). MSC: 05C62 05C90 65F22 65K99 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Methods Appl. Sci. 46, No. 4, 4534--4545 (2023; Zbl 07781812) Full Text: DOI
Dai, Min; Duan, Jinqiao; Hu, Jianyu; Wang, Xiangjun Nonparametric inference of stochastic differential equations based on the relative entropy rate. (English) Zbl 07781334 Math. Methods Appl. Sci. 46, No. 2, 2986-2996 (2023). MSC: 60G15 60H10 60H35 PDFBibTeX XMLCite \textit{M. Dai} et al., Math. Methods Appl. Sci. 46, No. 2, 2986--2996 (2023; Zbl 07781334) Full Text: DOI arXiv
Zhang, Dong; Wang, Gang; Vasil’ev, V. I.; Jiang, Tongsong Algebraic methods for equality constrained least squares problems in commutative quaternionic theory. (English) Zbl 07781269 Math. Methods Appl. Sci. 46, No. 2, 1699-1708 (2023). MSC: 15B33 15A66 PDFBibTeX XMLCite \textit{D. Zhang} et al., Math. Methods Appl. Sci. 46, No. 2, 1699--1708 (2023; Zbl 07781269) Full Text: DOI
Gao, Wen-Biao; Li, Bing-Zhao Octonion short-time linear canonical transform. (English) Zbl 07781127 Math. Methods Appl. Sci. 46, No. 1, 321-338 (2023). MSC: 42A38 11R52 94A12 PDFBibTeX XMLCite \textit{W.-B. Gao} and \textit{B.-Z. Li}, Math. Methods Appl. Sci. 46, No. 1, 321--338 (2023; Zbl 07781127) Full Text: DOI
Nithya, Venkatesan; Sakthivel, Rathinasamy; Kong, Fanchao; Suveetha, Veeralpatti Thangavel Quantized filtering for networked Takagi-Sugeno fuzzy systems with multipath data packet dropouts. (English) Zbl 1527.93448 Math. Methods Appl. Sci. 46, No. 8, 8709-8727 (2023). MSC: 93E11 93B36 93C42 93C55 PDFBibTeX XMLCite \textit{V. Nithya} et al., Math. Methods Appl. Sci. 46, No. 8, 8709--8727 (2023; Zbl 1527.93448) Full Text: DOI
Bhat, Mohammad Younus; Dar, Aamir Hamid The two-sided short-time quaternionic offset linear canonical transform and associated convolution and correlation. (English) Zbl 07780220 Math. Methods Appl. Sci. 46, No. 8, 8478-8495 (2023). MSC: 42B10 16H05 42A85 42C30 42C40 43A30 PDFBibTeX XMLCite \textit{M. Y. Bhat} and \textit{A. H. Dar}, Math. Methods Appl. Sci. 46, No. 8, 8478--8495 (2023; Zbl 07780220) Full Text: DOI
Zhang, Xiwen; Xie, Liejun; Wang, Jinping Some results on OMP algorithm for MMV problem. (English) Zbl 07780988 Math. Methods Appl. Sci. 45, No. 9, 5402-5411 (2022). MSC: 65F50 65F25 68P30 PDFBibTeX XMLCite \textit{X. Zhang} et al., Math. Methods Appl. Sci. 45, No. 9, 5402--5411 (2022; Zbl 07780988) Full Text: DOI
Huo, Haiye Stable recovery of weighted sparse signals from phaseless measurements via weighted \(l_1\) minimization. (English) Zbl 1527.90264 Math. Methods Appl. Sci. 45, No. 9, 4929-4937 (2022). MSC: 90C90 94A12 PDFBibTeX XMLCite \textit{H. Huo}, Math. Methods Appl. Sci. 45, No. 9, 4929--4937 (2022; Zbl 1527.90264) Full Text: DOI arXiv
Kundu, Manab; Prasad, Akhilesh Uncertainty principles associated with quaternion linear canonical transform and their estimates. (English) Zbl 07780849 Math. Methods Appl. Sci. 45, No. 8, 4772-4790 (2022). MSC: 42A38 42B10 42A05 11R52 94A12 PDFBibTeX XMLCite \textit{M. Kundu} and \textit{A. Prasad}, Math. Methods Appl. Sci. 45, No. 8, 4772--4790 (2022; Zbl 07780849) Full Text: DOI
Han, Yaoyao; Sun, Wenchang Inversion of the windowed linear canonical transform with Riemann sums. (English) Zbl 1527.42050 Math. Methods Appl. Sci. 45, No. 11, 6717-6738 (2022). MSC: 42C20 PDFBibTeX XMLCite \textit{Y. Han} and \textit{W. Sun}, Math. Methods Appl. Sci. 45, No. 11, 6717--6738 (2022; Zbl 1527.42050) Full Text: DOI
Wei, Xin; Qu, Feifei; Liu, Hua; Bian, Xiaoli Uncertainty principles for doubly periodic functions. (English) Zbl 1527.42002 Math. Methods Appl. Sci. 45, No. 11, 6499-6514 (2022). MSC: 42A75 42B05 94A12 PDFBibTeX XMLCite \textit{X. Wei} et al., Math. Methods Appl. Sci. 45, No. 11, 6499--6514 (2022; Zbl 1527.42002) Full Text: DOI
Feng, Qiang; Li, Bing-Zhao Convolution theorem for fractional cosine-sine transform and its application. (English) Zbl 1371.42003 Math. Methods Appl. Sci. 40, No. 10, 3651-3665 (2017). MSC: 42A38 42A85 94A12 PDFBibTeX XMLCite \textit{Q. Feng} and \textit{B.-Z. Li}, Math. Methods Appl. Sci. 40, No. 10, 3651--3665 (2017; Zbl 1371.42003) Full Text: DOI
Kou, Kit Ian; Yang, Yan; Zou, Cuiming Uncertainty principle for measurable sets and signal recovery in quaternion domains. (English) Zbl 1371.30044 Math. Methods Appl. Sci. 40, No. 11, 3892-3900 (2017). MSC: 30G35 PDFBibTeX XMLCite \textit{K. I. Kou} et al., Math. Methods Appl. Sci. 40, No. 11, 3892--3900 (2017; Zbl 1371.30044) Full Text: DOI arXiv
Dang, Pei; Wang, Shujuan Uncertainty principles for images defined on the square. (English) Zbl 1420.94011 Math. Methods Appl. Sci. 40, No. 7, 2475-2490 (2017). MSC: 94A08 PDFBibTeX XMLCite \textit{P. Dang} and \textit{S. Wang}, Math. Methods Appl. Sci. 40, No. 7, 2475--2490 (2017; Zbl 1420.94011) Full Text: DOI
Hu, Xiao-Xiao; Kou, Kit Ian Quaternion Fourier and linear canonical inversion theorems. (English) Zbl 1362.42012 Math. Methods Appl. Sci. 40, No. 7, 2421-2440 (2017). MSC: 42A38 26B30 47S10 PDFBibTeX XMLCite \textit{X.-X. Hu} and \textit{K. I. Kou}, Math. Methods Appl. Sci. 40, No. 7, 2421--2440 (2017; Zbl 1362.42012) Full Text: DOI arXiv
Li, Jueyou; Chen, Guo; Wu, Zhiyou; He, Xing Distributed subgradient method for multi-agent optimization with quantized communication. (English) Zbl 1369.90179 Math. Methods Appl. Sci. 40, No. 4, 1201-1213 (2017). MSC: 90C35 46N10 68W15 81P45 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Methods Appl. Sci. 40, No. 4, 1201--1213 (2017; Zbl 1369.90179) Full Text: DOI
Sangwine, Stephen J. On harmonic analysis of vector-valued signals. (English) Zbl 1371.94533 Math. Methods Appl. Sci. 40, No. 1, 22-30 (2017). MSC: 94A12 42A32 78A35 PDFBibTeX XMLCite \textit{S. J. Sangwine}, Math. Methods Appl. Sci. 40, No. 1, 22--30 (2017; Zbl 1371.94533) Full Text: DOI arXiv Link
Kanjamapornkul, Kabin; Pinčák, Richard Kolmogorov space in time series data. (English) Zbl 1425.91357 Math. Methods Appl. Sci. 39, No. 15, 4463-4483 (2016). MSC: 91B84 62P20 PDFBibTeX XMLCite \textit{K. Kanjamapornkul} and \textit{R. Pinčák}, Math. Methods Appl. Sci. 39, No. 15, 4463--4483 (2016; Zbl 1425.91357) Full Text: DOI arXiv
Morais, Joao; Kou, Kit Ian Constructing prolate spheroidal quaternion wave functions on the sphere. (English) Zbl 1345.30076 Math. Methods Appl. Sci. 39, No. 14, 3961-3978 (2016). MSC: 30G35 33C55 PDFBibTeX XMLCite \textit{J. Morais} and \textit{K. I. Kou}, Math. Methods Appl. Sci. 39, No. 14, 3961--3978 (2016; Zbl 1345.30076) Full Text: DOI
Kou, Kit Ian; Ou, Jianyu; Morais, Joao Uncertainty principles associated with quaternionic linear canonical transforms. (English) Zbl 1407.94037 Math. Methods Appl. Sci. 39, No. 10, 2722-2736 (2016). MSC: 94A12 42A38 PDFBibTeX XMLCite \textit{K. I. Kou} et al., Math. Methods Appl. Sci. 39, No. 10, 2722--2736 (2016; Zbl 1407.94037) Full Text: DOI
Qian, Tao Two-dimensional adaptive Fourier decomposition. (English) Zbl 1347.42047 Math. Methods Appl. Sci. 39, No. 10, 2431-2448 (2016). MSC: 42B99 42B30 42B05 65T99 42A50 32A35 46J15 PDFBibTeX XMLCite \textit{T. Qian}, Math. Methods Appl. Sci. 39, No. 10, 2431--2448 (2016; Zbl 1347.42047) Full Text: DOI arXiv
Qian, Tao; Tan, Lihui Backward shift invariant subspaces with applications to band preserving and phase retrieval problems. (English) Zbl 1381.47006 Math. Methods Appl. Sci. 39, No. 6, 1591-1598 (2016). MSC: 47A15 47A16 47B38 30E20 30H10 PDFBibTeX XMLCite \textit{T. Qian} and \textit{L. Tan}, Math. Methods Appl. Sci. 39, No. 6, 1591--1598 (2016; Zbl 1381.47006) Full Text: DOI
Mi, Wen; Qian, Tao; Li, Shuang Basis pursuit for frequency-domain identification. (English) Zbl 1382.93034 Math. Methods Appl. Sci. 39, No. 3, 498-507 (2016). MSC: 93E12 93B30 41A30 65T60 PDFBibTeX XMLCite \textit{W. Mi} et al., Math. Methods Appl. Sci. 39, No. 3, 498--507 (2016; Zbl 1382.93034) Full Text: DOI
Mai, Weixiong; Dang, Pei; Zhang, Liming; Qian, Tao Consecutive minimum phase expansion of physically realizable signals with applications. (English) Zbl 1332.30085 Math. Methods Appl. Sci. 39, No. 1, 62-72 (2016). MSC: 30J05 30J10 42A38 PDFBibTeX XMLCite \textit{W. Mai} et al., Math. Methods Appl. Sci. 39, No. 1, 62--72 (2016; Zbl 1332.30085) Full Text: DOI
Wang, Hongxia; Chen, Bo A generalized model for relative phases based on bilinear representation of natural image series. (English) Zbl 1381.94027 Math. Methods Appl. Sci. 38, No. 17, 4140-4153 (2015). MSC: 94A08 62H35 PDFBibTeX XMLCite \textit{H. Wang} and \textit{B. Chen}, Math. Methods Appl. Sci. 38, No. 17, 4140--4153 (2015; Zbl 1381.94027) Full Text: DOI
Hu, Wei; Lin, Rongrong; Zhang, Haizhang The circular Bedrosian identity for translation-invariant operators: existence and characterization. (English) Zbl 1339.44003 Math. Methods Appl. Sci. 38, No. 18, 5264-5270 (2015). Reviewer: S. L. Kalla (Ballwin) MSC: 44A15 94A12 PDFBibTeX XMLCite \textit{W. Hu} et al., Math. Methods Appl. Sci. 38, No. 18, 5264--5270 (2015; Zbl 1339.44003) Full Text: DOI
Yin, Aijun; Zhao, Lei; Gao, Bin; Woo, W. L. Fast partial differential equation de-noising filter for mechanical vibration signal. (English) Zbl 1334.35084 Math. Methods Appl. Sci. 38, No. 18, 4879-4890 (2015). MSC: 35K40 60G35 PDFBibTeX XMLCite \textit{A. Yin} et al., Math. Methods Appl. Sci. 38, No. 18, 4879--4890 (2015; Zbl 1334.35084) Full Text: DOI
Huang, Chao; Tan, Lihui; Yang, Lihua Best two-parameter rational approximation algorithm of given order: a variation of adaptive Fourier decomposition. (English) Zbl 1328.30017 Math. Methods Appl. Sci. 38, No. 13, 2816-2829 (2015). MSC: 30H10 94A12 PDFBibTeX XMLCite \textit{C. Huang} et al., Math. Methods Appl. Sci. 38, No. 13, 2816--2829 (2015; Zbl 1328.30017) Full Text: DOI
Schneider, Matti Convergence of FFT-based homogenization for strongly heterogeneous media. (English) Zbl 1328.65256 Math. Methods Appl. Sci. 38, No. 13, 2761-2778 (2015). MSC: 65N35 65R20 65T40 74B05 PDFBibTeX XMLCite \textit{M. Schneider}, Math. Methods Appl. Sci. 38, No. 13, 2761--2778 (2015; Zbl 1328.65256) Full Text: DOI
Zhao, Lei; Yin, Aijun High-order partial differential equation de-noising method for vibration signal. (English) Zbl 1310.35143 Math. Methods Appl. Sci. 38, No. 5, 937-947 (2015). MSC: 35K41 35Q99 60G35 94A12 65M06 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{A. Yin}, Math. Methods Appl. Sci. 38, No. 5, 937--947 (2015; Zbl 1310.35143) Full Text: DOI
Yin, Aijun; Zhao, Lei; Yang, Zhengyi; Chen, Benqian Noise reduction method for vibration signals 2D time-frequency distribution using anisotropic diffusion equation. (English) Zbl 1310.94032 Math. Methods Appl. Sci. 38, No. 4, 609-616 (2015). MSC: 94A12 35K05 PDFBibTeX XMLCite \textit{A. Yin} et al., Math. Methods Appl. Sci. 38, No. 4, 609--616 (2015; Zbl 1310.94032) Full Text: DOI
Dang, Pei Tighter uncertainty principles for periodic signals in terms of frequency. (English) Zbl 1361.94024 Math. Methods Appl. Sci. 38, No. 2, 365-379 (2015). MSC: 94A12 42B10 PDFBibTeX XMLCite \textit{P. Dang}, Math. Methods Appl. Sci. 38, No. 2, 365--379 (2015; Zbl 1361.94024) Full Text: DOI
Qian, Tao Cyclic AFD algorithm for the best rational approximation. (English) Zbl 1287.42018 Math. Methods Appl. Sci. 37, No. 6, 846-859 (2014). MSC: 42B30 30H10 46J15 65T99 PDFBibTeX XMLCite \textit{T. Qian}, Math. Methods Appl. Sci. 37, No. 6, 846--859 (2014; Zbl 1287.42018) Full Text: DOI
Liu, Yang; Chen, Hongwei; Wu, Bo Controllability of Boolean control networks with impulsive effects and forbidden states. (English) Zbl 1282.93054 Math. Methods Appl. Sci. 37, No. 1, 1-9 (2014). MSC: 93B05 34A37 03G05 PDFBibTeX XMLCite \textit{Y. Liu} et al., Math. Methods Appl. Sci. 37, No. 1, 1--9 (2014; Zbl 1282.93054) Full Text: DOI
Li, Shuang; Qian, Tao On sparse representation of analytic signal in Hardy space. (English) Zbl 1281.30036 Math. Methods Appl. Sci. 36, No. 17, 2297-2310 (2013). MSC: 30H10 30J10 65E99 PDFBibTeX XMLCite \textit{S. Li} and \textit{T. Qian}, Math. Methods Appl. Sci. 36, No. 17, 2297--2310 (2013; Zbl 1281.30036) Full Text: DOI
Hitzer, E. Algebraic foundations of split hypercomplex nonlinear adaptive filtering. (English) Zbl 1276.62055 Math. Methods Appl. Sci. 36, No. 9, 1042-1055 (2013). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 62M20 60G35 65C60 62M45 PDFBibTeX XMLCite \textit{E. Hitzer}, Math. Methods Appl. Sci. 36, No. 9, 1042--1055 (2013; Zbl 1276.62055) Full Text: DOI arXiv
De Bie, H. Clifford algebras, Fourier transforms, and quantum mechanics. (English) Zbl 1259.42001 Math. Methods Appl. Sci. 35, No. 18, 2198-2228 (2012). MSC: 42-02 42B10 30G35 PDFBibTeX XMLCite \textit{H. De Bie}, Math. Methods Appl. Sci. 35, No. 18, 2198--2228 (2012; Zbl 1259.42001) Full Text: DOI arXiv
Yang, Zhijing; Yang, Lihua The structures of some typical intrinsic mode functions. (English) Zbl 1260.94030 Math. Methods Appl. Sci. 35, No. 17, 2075-2084 (2012). MSC: 94A12 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{L. Yang}, Math. Methods Appl. Sci. 35, No. 17, 2075--2084 (2012; Zbl 1260.94030) Full Text: DOI
Li, Baobin; Li, Dengfeng Balanced multiwavelets with optimum time-frequency resolution. (English) Zbl 1256.42054 Math. Methods Appl. Sci. 35, No. 17, 2057-2066 (2012). Reviewer: Peter Massopust (München) MSC: 42C40 15A23 65T60 PDFBibTeX XMLCite \textit{B. Li} and \textit{D. Li}, Math. Methods Appl. Sci. 35, No. 17, 2057--2066 (2012; Zbl 1256.42054) Full Text: DOI
Dang, Pei; Qian, Tao; Yang, Yan Hardy-Sobolev derivatives of phase and amplitude, and their applications. (English) Zbl 1256.42012 Math. Methods Appl. Sci. 35, No. 17, 2017-2030 (2012). MSC: 42A50 42A38 PDFBibTeX XMLCite \textit{P. Dang} et al., Math. Methods Appl. Sci. 35, No. 17, 2017--2030 (2012; Zbl 1256.42012) Full Text: DOI
Qian, Tao Intrinsic mono-component decomposition of functions: an advance of Fourier theory. (English) Zbl 1188.42001 Math. Methods Appl. Sci. 33, No. 7, 880-891 (2010). MSC: 42A50 32A30 32A35 46J15 PDFBibTeX XMLCite \textit{T. Qian}, Math. Methods Appl. Sci. 33, No. 7, 880--891 (2010; Zbl 1188.42001) Full Text: DOI
Reemtsen, Rembert FIR filter design problems for simultaneous approximation of magnitude and phase and magnitude and group delay. (English) Zbl 0984.41014 Math. Methods Appl. Sci. 24, No. 8, 561-581 (2001). Reviewer: Shi Ying-Guang (Beijing) MSC: 41A28 30E10 30B60 93C80 93C62 PDFBibTeX XMLCite \textit{R. Reemtsen}, Math. Methods Appl. Sci. 24, No. 8, 561--581 (2001; Zbl 0984.41014) Full Text: DOI