Dang, Pei; Mai, Weixiong; Qian, Tao On monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type. (English) Zbl 1502.30139 Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 50, 29 p. (2022). MSC: 30G35 15A66 46E22 PDFBibTeX XMLCite \textit{P. Dang} et al., Adv. Appl. Clifford Algebr. 32, No. 4, Paper No. 50, 29 p. (2022; Zbl 1502.30139) Full Text: DOI arXiv
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
Dang, Pei; Du, Jinyuan; Qian, Tao Riemann boundary value problems for monogenic functions on the hyperplane. (English) Zbl 1497.30016 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 29, 60 p. (2022). Reviewer: Fuli He (Changsha) MSC: 30G35 30E25 30E20 PDFBibTeX XMLCite \textit{P. Dang} et al., Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 29, 60 p. (2022; Zbl 1497.30016) Full Text: DOI
Colombo, Fabrizio; De Martino, Antonino; Qian, Tao; Sabadini, Irene The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels. (English) Zbl 1486.30133 J. Math. Anal. Appl. 512, No. 1, Article ID 126115, 23 p. (2022). MSC: 30G35 PDFBibTeX XMLCite \textit{F. Colombo} et al., J. Math. Anal. Appl. 512, No. 1, Article ID 126115, 23 p. (2022; Zbl 1486.30133) Full Text: DOI arXiv
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
Dang, Pei; Mourão, José; Nunes, João P.; Qian, Tao Clifford coherent state transforms on spheres. (English) Zbl 1431.81035 J. Geom. Phys. 124, 225-232 (2018). MSC: 81P40 30G35 35A10 PDFBibTeX XMLCite \textit{P. Dang} et al., J. Geom. Phys. 124, 225--232 (2018; Zbl 1431.81035) Full Text: DOI arXiv
Kähler, Uwe; Ku, Min; Qian, Tao Schwarz problems for poly-Hardy space on the unit ball. (English) Zbl 1384.30009 Result. Math. 71, No. 3-4, 801-823 (2017). Reviewer: Michael Shapiro (Holon) MSC: 30G35 30H10 PDFBibTeX XMLCite \textit{U. Kähler} et al., Result. Math. 71, No. 3--4, 801--823 (2017; Zbl 1384.30009) 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
Dang, Pei; Qian, Tao; Yang, Yan Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces. (English) Zbl 1366.94092 J. Math. Anal. Appl. 437, No. 2, 912-940 (2016). MSC: 94A12 30G35 42B37 PDFBibTeX XMLCite \textit{P. Dang} et al., J. Math. Anal. Appl. 437, No. 2, 912--940 (2016; Zbl 1366.94092) 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
Wang, Jinxun; Qian, Tao Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space. (English) Zbl 1302.30068 Sci. China, Math. 57, No. 9, 1785-1797 (2014). MSC: 30G35 30H10 PDFBibTeX XMLCite \textit{J. Wang} and \textit{T. Qian}, Sci. China, Math. 57, No. 9, 1785--1797 (2014; Zbl 1302.30068) Full Text: DOI
Li, Pengtao; Leong, Ieng Tak; Qian, Tao A class of Fourier multipliers on starlike Lipschitz surfaces. (English) Zbl 1232.42014 J. Funct. Anal. 261, No. 6, 1415-1445 (2011). Reviewer: Manfred Stoll (Columbia) MSC: 42B15 42B20 PDFBibTeX XMLCite \textit{P. Li} et al., J. Funct. Anal. 261, No. 6, 1415--1445 (2011; Zbl 1232.42014) Full Text: DOI
Li, XingMin; Peng, LiZhong; Qian, Tao The Paley-Wiener theorem in the non-commutative and non-associative octonions. (English) Zbl 1176.42019 Sci. China, Ser. A 52, No. 1, 129-141 (2009). MSC: 42B35 30G35 17A35 PDFBibTeX XMLCite \textit{X. Li} et al., Sci. China, Ser. A 52, No. 1, 129--141 (2009; Zbl 1176.42019) Full Text: DOI
Li, Xing Min; Peng, Li Zhong; Qian, Tao Cauchy integrals on Lipschitz surfaces in octonionic space. (English) Zbl 1151.30038 J. Math. Anal. Appl. 343, No. 2, 763-777 (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 30G35 47G10 45P05 47B35 PDFBibTeX XMLCite \textit{X. M. Li} et al., J. Math. Anal. Appl. 343, No. 2, 763--777 (2008; Zbl 1151.30038) Full Text: DOI
Qian, Tao Singular integrals and Fourier multipliers on unit spheres and their Lipschitz perturbations. (English) Zbl 1221.30114 Adv. Appl. Clifford Algebr. 11, Suppl. 1, 53-76 (2001). MSC: 30G35 42B20 43A85 47A60 PDFBibTeX XMLCite \textit{T. Qian}, Adv. Appl. Clifford Algebr. 11, 53--76 (2001; Zbl 1221.30114) Full Text: DOI
Qian, Tao Fourier analysis on starlike Lipschitz surfaces. (English) Zbl 0991.42009 J. Funct. Anal. 183, No. 2, 370-412 (2001). Reviewer: Terence Tao (Los Angeles) MSC: 42B20 42B15 PDFBibTeX XMLCite \textit{T. Qian}, J. Funct. Anal. 183, No. 2, 370--412 (2001; Zbl 0991.42009) Full Text: DOI Link
Cowling, Michael; Qian, Tao A class of singular integrals on the \(n\)-complex unit sphere. (English) Zbl 0959.42010 Sci. China, Ser. A 42, No. 12, 1233-1245 (1999). Reviewer: Terence Tao (Los Angeles) MSC: 42B20 32A26 PDFBibTeX XMLCite \textit{M. Cowling} and \textit{T. Qian}, Sci. China, Ser. A 42, No. 12, 1233--1245 (1999; Zbl 0959.42010) Full Text: DOI