Zhang, Zhichao Uncertainty principle for free metaplectic transformation. (English) Zbl 1527.42011 J. Fourier Anal. Appl. 29, No. 6, Paper No. 71, 33 p. (2023). MSC: 42B10 81S07 15A18 15A42 15B48 42A38 94A12 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Fourier Anal. Appl. 29, No. 6, Paper No. 71, 33 p. (2023; Zbl 1527.42011) Full Text: DOI
Guanlei, Xu; Xiaogang, Xu; Xiaotong, Wang Tsallis entropy based uncertainty relations on sparse representation for vector and matrix signals. (English) Zbl 07813904 Inf. Sci. 617, 359-372 (2022). MSC: 94A12 94A17 PDFBibTeX XMLCite \textit{X. Guanlei} et al., Inf. Sci. 617, 359--372 (2022; Zbl 07813904) Full Text: DOI
Ahmad, Owais; Achak, A.; Sheikh, Neyaz A.; Warbhe, Ujwal Uncertainty principles associated with multi-dimensional linear canonical transform. (English) Zbl 07800029 Int. J. Geom. Methods Mod. Phys. 19, No. 2, Article ID 2250029, 10 p. (2022). MSC: 42A38 42B10 42C40 11R52 81S07 94A12 PDFBibTeX XMLCite \textit{O. Ahmad} et al., Int. J. Geom. Methods Mod. Phys. 19, No. 2, Article ID 2250029, 10 p. (2022; Zbl 07800029) 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
Qian, Tao Positive-instantaneous frequency and approximation. (English) Zbl 1492.94036 Front. Math. China 17, No. 3, 337-371 (2022); translation from Adv. Math., Beijing 47, No. 3, 321–347 (2018). MSC: 94A12 42A50 30H10 30J05 30J10 32A50 PDFBibTeX XMLCite \textit{T. Qian}, Front. Math. China 17, No. 3, 337--371 (2022; Zbl 1492.94036); translation from Adv. Math., Beijing 47, No. 3, 321--347 (2018) Full Text: DOI
Zhang, Zhichao Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains. (English) Zbl 1471.42024 J. Fourier Anal. Appl. 27, No. 4, Paper No. 68, 32 p. (2021). MSC: 42B10 42A38 70H15 81S07 15A42 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Fourier Anal. Appl. 27, No. 4, Paper No. 68, 32 p. (2021; Zbl 1471.42024) Full Text: DOI
Zhang, Zhi-Chao Choi-Williams distribution in linear canonical domains and its application in noisy LFM signals detection. (English) Zbl 1458.94158 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105025, 17 p. (2020). MSC: 94A12 PDFBibTeX XMLCite \textit{Z.-C. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105025, 17 p. (2020; Zbl 1458.94158) Full Text: DOI
Zhang, Zhichao Generalized Balian-Low theorem associated with the linear canonical transform. (English) Zbl 1447.42006 Result. Math. 75, No. 3, Paper No. 129, 12 p. (2020). MSC: 42A38 46E35 42C15 PDFBibTeX XMLCite \textit{Z. Zhang}, Result. Math. 75, No. 3, Paper No. 129, 12 p. (2020; Zbl 1447.42006) Full Text: DOI
Chen, Qiuhui; Qian, Tao; Tan, Lihui A theory on non-constant frequency decompositions and applications. (English) Zbl 1494.94015 Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 1-37 (2020). MSC: 94A12 30H10 41A20 94-02 PDFBibTeX XMLCite \textit{Q. Chen} et al., in: Advancements in complex analysis. From theory to practice. Cham: Springer. 1--37 (2020; Zbl 1494.94015) Full Text: DOI
Zhang, Zhichao Uncertainty principle for real functions in free metaplectic transformation domains. (English) Zbl 1428.42009 J. Fourier Anal. Appl. 25, No. 6, 2899-2922 (2019). MSC: 42A38 42B10 15A42 70H15 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Fourier Anal. Appl. 25, No. 6, 2899--2922 (2019; Zbl 1428.42009) Full Text: DOI
Zhang, Yan-Na; Li, Bing-Zhao Novel uncertainty principles for two-sided quaternion linear canonical transform. (English) Zbl 1392.81164 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 15, 14 p. (2018). MSC: 81S05 62J10 11R52 53D22 53C26 42B10 PDFBibTeX XMLCite \textit{Y.-N. Zhang} and \textit{B.-Z. Li}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 15, 14 p. (2018; Zbl 1392.81164) Full Text: DOI
Medina, Juan Miguel; Cernuschi-Frías, Bruno Some localization properties of the \(L^p\) continuous wavelet transform. (English) Zbl 1408.42031 Numer. Funct. Anal. Optim. 39, No. 1, 87-99 (2018). Reviewer: Zygmunt Hasiewicz (Wrocław) MSC: 42C40 26D15 42C99 PDFBibTeX XMLCite \textit{J. M. Medina} and \textit{B. Cernuschi-Frías}, Numer. Funct. Anal. Optim. 39, No. 1, 87--99 (2018; Zbl 1408.42031) Full Text: DOI
Dang, Pei; Qian, Tao; Chen, Qiuhui Uncertainty principle and phase-amplitude analysis of signals on the unit sphere. (English) Zbl 1386.94025 Adv. Appl. Clifford Algebr. 27, No. 4, 2985-3013 (2017). MSC: 94A12 PDFBibTeX XMLCite \textit{P. Dang} et al., Adv. Appl. Clifford Algebr. 27, No. 4, 2985--3013 (2017; Zbl 1386.94025) Full Text: DOI
Gao, You; Ku, Min; Qian, Tao; Wang, Jianzhong FFT formulations of adaptive Fourier decomposition. (English) Zbl 1369.65184 J. Comput. Appl. Math. 324, 204-215 (2017). MSC: 65T50 65Y20 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Comput. Appl. Math. 324, 204--215 (2017; Zbl 1369.65184) Full Text: DOI
Su, Yu; Zhang, Wanchang; Zhang, Zhijie; Su, Wenting A new bound of uncertainty principle for real para-vector valued signals. (English) Zbl 1375.46032 Adv. Appl. Clifford Algebr. 27, No. 2, 1847-1856 (2017). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F10 30G35 94A12 PDFBibTeX XMLCite \textit{Y. Su} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1847--1856 (2017; Zbl 1375.46032) Full Text: DOI
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
Bahri, Mawardi; Ashino, Ryuichi A simplified proof of uncertainty principle for quaternion linear canonical transform. (English) Zbl 1470.42013 Abstr. Appl. Anal. 2016, Article ID 5874930, 11 p. (2016). MSC: 42B10 42A38 PDFBibTeX XMLCite \textit{M. Bahri} and \textit{R. Ashino}, Abstr. Appl. Anal. 2016, Article ID 5874930, 11 p. (2016; Zbl 1470.42013) Full Text: DOI
Yang, Yan; Dang, Pei; Qian, Tao Tighter uncertainty principles based on quaternion Fourier transform. (English) Zbl 1338.42013 Adv. Appl. Clifford Algebr. 26, No. 1, 479-497 (2016). MSC: 42B10 46F10 30G35 94A12 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Appl. Clifford Algebr. 26, No. 1, 479--497 (2016; Zbl 1338.42013) Full Text: DOI
Yang, Yan; Kou, Kit Ian Novel uncertainty principles associated with 2D quaternion Fourier transforms. (English) Zbl 1333.62179 Integral Transforms Spec. Funct. 27, No. 3, 213-226 (2016). MSC: 62J10 62H35 94A08 30G35 42A38 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{K. I. Kou}, Integral Transforms Spec. Funct. 27, No. 3, 213--226 (2016; Zbl 1333.62179) Full Text: DOI
Liu, Ming-Sheng; Kou, Kit Ian; Morais, Joao; Dang, Pei Sharper uncertainty principles for the windowed Fourier transform. (English) Zbl 1356.94040 J. Mod. Opt. 62, No. 1, 46-55 (2015). MSC: 94A12 PDFBibTeX XMLCite \textit{M.-S. Liu} et al., J. Mod. Opt. 62, No. 1, 46--55 (2015; Zbl 1356.94040) Full Text: DOI
Yang, Yan; Dang, Pei; Qian, Tao Stronger uncertainty principles for hypercomplex signals. (English) Zbl 1342.42006 Complex Var. Elliptic Equ. 60, No. 12, 1696-1711 (2015). MSC: 42A38 30G35 PDFBibTeX XMLCite \textit{Y. Yang} et al., Complex Var. Elliptic Equ. 60, No. 12, 1696--1711 (2015; Zbl 1342.42006) 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; Zhang, Liming Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis. (English) Zbl 1299.42011 Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 505-530 (2013). MSC: 42A50 32A30 32A35 46J15 PDFBibTeX XMLCite \textit{T. Qian} and \textit{L. Zhang}, Appl. Math., Ser. B (Engl. Ed.) 28, No. 4, 505--530 (2013; Zbl 1299.42011) Full Text: DOI