Xiao, Jinsen; He, Jianxun The \(k\)-plane transform on the Heisenberg group. (English) Zbl 1440.43019 J. Pseudo-Differ. Oper. Appl. 11, No. 1, 289-309 (2020). MSC: 43A85 44A12 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, J. Pseudo-Differ. Oper. Appl. 11, No. 1, 289--309 (2020; Zbl 1440.43019) Full Text: DOI
Fan, Xingya; He, Jianxun; Xiao, Jinsen; Yuan, Wenjun Radon transforms on Siegel-type nilpotent Lie groups. (English) Zbl 1460.43003 Front. Math. China 14, No. 5, 855-866 (2019). MSC: 43A32 43A65 43A80 44A12 PDFBibTeX XMLCite \textit{X. Fan} et al., Front. Math. China 14, No. 5, 855--866 (2019; Zbl 1460.43003) Full Text: DOI
Xiao, Jinsen; He, Jianxun; Fan, Xingya Hardy’s inequalities for the Heisenberg group. (English) Zbl 1420.43007 Potential Anal. 51, No. 2, 165-177 (2019). Reviewer: Koichi Saka (Akita) MSC: 43A80 42B10 22E30 PDFBibTeX XMLCite \textit{J. Xiao} et al., Potential Anal. 51, No. 2, 165--177 (2019; Zbl 1420.43007) Full Text: DOI
Xiao, Jinsen; He, Jianxun On indeterminate forms of exponential type. (English) Zbl 1398.26005 Math. Mag. 90, No. 5, 371-374 (2017). MSC: 26A06 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, Math. Mag. 90, No. 5, 371--374 (2017; Zbl 1398.26005) Full Text: DOI
Xiao, Jinsen; He, Jianxun Uncertainty inequality for Radon transform on the Heisenberg group. (English) Zbl 1378.43008 Complex Anal. Oper. Theory 11, No. 7, 1603-1612 (2017). MSC: 43A85 44A12 52A38 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, Complex Anal. Oper. Theory 11, No. 7, 1603--1612 (2017; Zbl 1378.43008) Full Text: DOI
Xiao, Jinsen; He, Jianxun Hardy’s inequalities for the twisted convolution with Laguerre functions. (English) Zbl 1372.43007 J. Inequal. Appl. 2017, Paper No. 226, 9 p. (2017). MSC: 43A85 44A12 52A38 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, J. Inequal. Appl. 2017, Paper No. 226, 9 p. (2017; Zbl 1372.43007) Full Text: DOI
Xiao, Jinsen; He, Jianxun On Hardy’s inequalities for the special Hermite expansions. (English) Zbl 1368.43007 Math. Inequal. Appl. 20, No. 2, 491-500 (2017). Reviewer: Koichi Saka (Akita) MSC: 43A85 33C45 42B30 43A80 22E30 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, Math. Inequal. Appl. 20, No. 2, 491--500 (2017; Zbl 1368.43007) Full Text: DOI
He, Jianxun; Xiao, Jinsen Inversion of the Radon transform on the free nilpotent Lie group of step two. (English) Zbl 1300.43008 Can. J. Math. 66, No. 3, 700-720 (2014). Reviewer: Rainer Felix (Eichstätt) MSC: 43A85 44A12 52A38 43A80 42C40 22E25 17B70 PDFBibTeX XMLCite \textit{J. He} and \textit{J. Xiao}, Can. J. Math. 66, No. 3, 700--720 (2014; Zbl 1300.43008) Full Text: DOI
Xiao, Jinsen; He, Jianxun Uncertainty inequalities for the Heisenberg group. (English) Zbl 1381.43007 Proc. Indian Acad. Sci., Math. Sci. 122, No. 4, 573-581 (2012). Reviewer: Dachun Yang (Beijing) MSC: 43A15 42C40 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, Proc. Indian Acad. Sci., Math. Sci. 122, No. 4, 573--581 (2012; Zbl 1381.43007) Full Text: DOI
Xiao, Jinsen; He, Jianxun Riesz potential on the Heisenberg group. (English) Zbl 1230.26014 J. Inequal. Appl. 2011, Article ID 498638, 13 p. (2011). Reviewer: Bicheng Yang (Guangdong) MSC: 26D15 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, J. Inequal. Appl. 2011, Article ID 498638, 13 p. (2011; Zbl 1230.26014) Full Text: DOI EuDML
Xiao, Jinsen; He, Jianxun The Calderón reproducing formula associated with the Heisenberg group \(H^d\). (English) Zbl 1202.43004 Math. Probl. Eng. 2010, Article ID 132186, 12 p. (2010). Reviewer: Boris Rubin (Baton Rouge) MSC: 43A80 43A15 PDFBibTeX XMLCite \textit{J. Xiao} and \textit{J. He}, Math. Probl. Eng. 2010, Article ID 132186, 12 p. (2010; Zbl 1202.43004) Full Text: DOI
He, Jianxun; Xiao, Jinsen; Wen, Liqun Inversion of the Radon transform on the Laguerre hypergroup by using wavelet packet transform. (English. Chinese summary) Zbl 1212.44002 J. Guangzhou Univ., Nat. Sci. 8, No. 5, 1-5 (2009). MSC: 44A12 42C40 43A62 PDFBibTeX XMLCite \textit{J. He} et al., J. Guangzhou Univ., Nat. Sci. 8, No. 5, 1--5 (2009; Zbl 1212.44002)