Giri, Debkumar; Manna, Ramesh Revisit on Heisenberg uniqueness pair for the hyperbola. (English) Zbl 07807529 Math. Z. 306, No. 3, Paper No. 39, 15 p. (2024). MSC: 42B10 42A10 35L10 43A15 PDFBibTeX XMLCite \textit{D. Giri} and \textit{R. Manna}, Math. Z. 306, No. 3, Paper No. 39, 15 p. (2024; Zbl 07807529) Full Text: DOI
Chen, Lu; Lu, Guozhen; Zhu, Maochun Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group. (English) Zbl 1523.35272 Proc. Lond. Math. Soc. (3) 126, No. 2, 518-555 (2023). MSC: 35R03 35H20 35J62 42B35 42B37 PDFBibTeX XMLCite \textit{L. Chen} et al., Proc. Lond. Math. Soc. (3) 126, No. 2, 518--555 (2023; Zbl 1523.35272) Full Text: DOI
Bahouri, Hajer; Gallagher, Isabelle Local dispersive and Strichartz estimates for the Schrödinger operator on the Heisenberg group. (English) Zbl 1524.43015 Commun. Math. Res. 39, No. 1, 1-35 (2023). MSC: 43A80 43A30 42B37 PDFBibTeX XMLCite \textit{H. Bahouri} and \textit{I. Gallagher}, Commun. Math. Res. 39, No. 1, 1--35 (2023; Zbl 1524.43015) Full Text: DOI arXiv
Dai, Tiantian Boundedness of operators on Campanato spaces related with Schrödinger operators on Heisenberg groups. (English) Zbl 1527.22015 Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 17, 39 p. (2023). MSC: 22E30 42B35 35J10 47B38 PDFBibTeX XMLCite \textit{T. Dai}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 1, Paper No. 17, 39 p. (2023; Zbl 1527.22015) Full Text: DOI
Yang, Li; Li, Pengtao Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups. (English) Zbl 1506.42032 J. Pseudo-Differ. Oper. Appl. 14, No. 1, Paper No. 8, 59 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 42B37 47B47 35J10 43A80 PDFBibTeX XMLCite \textit{L. Yang} and \textit{P. Li}, J. Pseudo-Differ. Oper. Appl. 14, No. 1, Paper No. 8, 59 p. (2023; Zbl 1506.42032) Full Text: DOI
Wong, M. W. Partial differential equations. Topics in Fourier analysis. 2nd revised and updated edition. (English) Zbl 1497.35002 Boca Raton, FL: CRC Press (ISBN 978-1-032-07316-3/hbk; 978-1-003-20678-1/ebook). ix, 197 p. (2023). MSC: 35-01 42-01 42A38 35A25 35R03 35A22 PDFBibTeX XMLCite \textit{M. W. Wong}, Partial differential equations. Topics in Fourier analysis. 2nd revised and updated edition. Boca Raton, FL: CRC Press (2023; Zbl 1497.35002) Full Text: DOI
Gao, Chunfang; Li, Pengtao The Herz-boundedness of commutators related to Schrödinger operators in the setting of Heisenberg group. (English) Zbl 1487.42035 Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1213-1240 (2022). MSC: 42B20 42B35 35J10 43A80 PDFBibTeX XMLCite \textit{C. Gao} and \textit{P. Li}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 3, 1213--1240 (2022; Zbl 1487.42035) Full Text: DOI
Gao, Chunfang Hardy type estimates for Riesz transforms associated with Schrödinger operators on the Heisenberg group. (English) Zbl 1485.42024 J. Korean Math. Soc. 59, No. 2, 235-254 (2022). MSC: 42B20 42B35 35J10 44A15 PDFBibTeX XMLCite \textit{C. Gao}, J. Korean Math. Soc. 59, No. 2, 235--254 (2022; Zbl 1485.42024) Full Text: DOI
Hu, Nan; Zhao, Jiman A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group. (English) Zbl 1482.42015 J. Pseudo-Differ. Oper. Appl. 13, No. 1, Paper No. 5, 17 p. (2022). MSC: 42B15 35J10 42B30 43A80 47B40 PDFBibTeX XMLCite \textit{N. Hu} and \textit{J. Zhao}, J. Pseudo-Differ. Oper. Appl. 13, No. 1, Paper No. 5, 17 p. (2022; Zbl 1482.42015) Full Text: DOI
Sun, Chuanhong; Li, Pengtao The estimates for the fractional derivatives of the Poisson semigroup associated with Schrödinger operator on Heisenberg groups. (Chinese. English summary) Zbl 1488.42084 Math. Appl. 34, No. 1, 113-122 (2021). MSC: 42B20 42B35 22E30 35J10 PDFBibTeX XMLCite \textit{C. Sun} and \textit{P. Li}, Math. Appl. 34, No. 1, 113--122 (2021; Zbl 1488.42084)
Wang, Hua Morrey spaces related to Schrödinger operators with certain nonnegative potentials and Littlewood-Paley-Stein functions on the Heisenberg groups. (English) Zbl 1474.42066 Stud. Sci. Math. Hung. 57, No. 4, 465-507 (2020). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 42B20 35J10 22E25 22E30 PDFBibTeX XMLCite \textit{H. Wang}, Stud. Sci. Math. Hung. 57, No. 4, 465--507 (2020; Zbl 1474.42066) Full Text: DOI
Wang, Yixin Carleson measure characterization of the BMO type space on the Heisenberg group. (English) Zbl 1474.42090 Adv. Math., Beijing 49, No. 3, 360-374 (2020). MSC: 42B30 22E25 35J10 35R03 PDFBibTeX XMLCite \textit{Y. Wang}, Adv. Math., Beijing 49, No. 3, 360--374 (2020; Zbl 1474.42090)
Wang, Yixin; Liu, Yu; Sun, Chuanhong; Li, Pengtao Carleson measure characterizations of the Campanato type space associated with Schrödinger operators on stratified Lie groups. (English) Zbl 1455.43003 Forum Math. 32, No. 5, 1337-1373 (2020). Reviewer: E. K. Narayanan (Bangalore) MSC: 43A80 22E30 42B30 42B35 47B38 35J10 35R03 PDFBibTeX XMLCite \textit{Y. Wang} et al., Forum Math. 32, No. 5, 1337--1373 (2020; Zbl 1455.43003) Full Text: DOI
Wang, Hua Morrey spaces for Schrödinger operators with certain nonnegative potentials, Littlewood-Paley and Lusin functions on the Heisenberg groups. (English) Zbl 1446.42023 Banach J. Math. Anal. 14, No. 4, 1532-1557 (2020). MSC: 42B20 35J10 22E25 22E30 PDFBibTeX XMLCite \textit{H. Wang}, Banach J. Math. Anal. 14, No. 4, 1532--1557 (2020; Zbl 1446.42023) Full Text: DOI arXiv
Wang, Hua Morrey spaces for Schrödinger operators with nonnegative potentials, fractional integral operators and the Adams inequality on the Heisenberg groups. (English) Zbl 1428.42023 J. Math. Anal. Appl. 482, No. 1, Article ID 123523, 25 p. (2020). MSC: 42B20 42B30 43A30 35J10 26A16 PDFBibTeX XMLCite \textit{H. Wang}, J. Math. Anal. Appl. 482, No. 1, Article ID 123523, 25 p. (2020; Zbl 1428.42023) Full Text: DOI arXiv
Wang, Hua Morrey spaces related to certain nonnegative potentials and fractional integrals on the Heisenberg groups. (English) Zbl 1499.42083 J. Inequal. Appl. 2019, Paper No. 232, 21 p. (2019). MSC: 42B20 35J10 22E25 22E30 26A33 PDFBibTeX XMLCite \textit{H. Wang}, J. Inequal. Appl. 2019, Paper No. 232, 21 p. (2019; Zbl 1499.42083) Full Text: DOI arXiv
Kryuchkov, Sergey I.; Suazo, Erwin; Suslov, Sergei K. Time-dependent photon statistics in variable media. (English) Zbl 1426.81036 Math. Methods Appl. Sci. 42, No. 15, 5040-5051 (2019). MSC: 81Q05 35Q05 42A38 81V80 81R30 PDFBibTeX XMLCite \textit{S. I. Kryuchkov} et al., Math. Methods Appl. Sci. 42, No. 15, 5040--5051 (2019; Zbl 1426.81036) Full Text: DOI arXiv
Eroglu, Ahmet; Gadjiev, Tahir; Namazov, Faig Fractional integral associated to Schrödinger operator on the Heisenberg groups in central generalized Morrey spaces. (English) Zbl 1438.22008 J. Nonlinear Sci. Appl. 11, No. 8, 984-993 (2018). MSC: 22E30 35J10 42B35 35R03 PDFBibTeX XMLCite \textit{A. Eroglu} et al., J. Nonlinear Sci. Appl. 11, No. 8, 984--993 (2018; Zbl 1438.22008) Full Text: DOI
Eroglu, Ahmet; Isayev, Fatayi A.; Namazov, Faig M. Fractional integral associated to Schrödinger operator on the Heisenberg groups in vanishing generalized Morrey spaces. (English) Zbl 1412.22021 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 38, No. 4, Math., 54-62 (2018). MSC: 22E30 35J10 42B35 PDFBibTeX XMLCite \textit{A. Eroglu} et al., Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 38, No. 4, Math., 54--62 (2018; Zbl 1412.22021)
Guliyev, Vagif S.; Akbulut, Ali; Namazov, Faiq M. Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group. (English) Zbl 1446.35240 Adv. Difference Equ. 2018, Paper No. 273, 14 p. (2018). MSC: 35R03 35J10 42B35 PDFBibTeX XMLCite \textit{V. S. Guliyev} et al., Adv. Difference Equ. 2018, Paper No. 273, 14 p. (2018; Zbl 1446.35240) Full Text: DOI
Liu, Yu; Tang, Guobin A note for Riesz transforms associated with Schrödinger operators on the Heisenberg group. (English) Zbl 1366.42029 Anal. Math. Phys. 7, No. 1, 31-45 (2017). MSC: 42B37 42B20 35J10 22E30 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{G. Tang}, Anal. Math. Phys. 7, No. 1, 31--45 (2017; Zbl 1366.42029) Full Text: DOI
Müller, Detlef; Seeger, Andreas Sharp \(L^p\) bounds for the wave equation on groups of Heisenberg type. (English) Zbl 1333.35309 Anal. PDE 8, No. 5, 1051-1100 (2015). Reviewer: Luz Roncal (Logroño) MSC: 35R03 35L05 35S30 42B15 43A80 PDFBibTeX XMLCite \textit{D. Müller} and \textit{A. Seeger}, Anal. PDE 8, No. 5, 1051--1100 (2015; Zbl 1333.35309) Full Text: DOI arXiv
Liu, Yu; Xie, Wenjiang Riesz transform related to a Schrödinger type operator on the Heisenberg group. (English) Zbl 1321.22012 Georgian Math. J. 22, No. 3, 397-407 (2015). MSC: 22E30 35J10 42B20 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. Xie}, Georgian Math. J. 22, No. 3, 397--407 (2015; Zbl 1321.22012) Full Text: DOI
Canto-Martín, Francisco; Hedenmalm, Håkan; Montes-Rodríguez, Alfonso Perron-Frobenius operators and the Klein-Gordon equation. (English) Zbl 1297.42017 J. Eur. Math. Soc. (JEMS) 16, No. 1, 31-66 (2014). Reviewer: Leszek Skrzypczak (Poznań) MSC: 42B10 42A10 31B15 81Q05 PDFBibTeX XMLCite \textit{F. Canto-Martín} et al., J. Eur. Math. Soc. (JEMS) 16, No. 1, 31--66 (2014; Zbl 1297.42017) Full Text: DOI arXiv
Wong, M. W. Partial differential equations. Topics in Fourier analysis. (English) Zbl 1286.35001 Boca Raton, FL: CRC Press (ISBN 978-1-4665-8401-3/hbk; 978-0-367-37995-7/pbk; 978-1-4665-8407-5/ebook). viii, 174 p. (2014). Reviewer: Michael Shapiro (México D. F.) MSC: 35-01 42-01 42A38 35A25 35R03 35A22 PDFBibTeX XMLCite \textit{M. W. Wong}, Partial differential equations. Topics in Fourier analysis. Boca Raton, FL: CRC Press (2014; Zbl 1286.35001)
López, Raquel M.; Suslov, Sergei K.; Vega-Guzmán, José M. On a hidden symmetry of quantum harmonic oscillators. (English) Zbl 1266.81073 J. Difference Equ. Appl. 19, No. 4, 543-554 (2013). MSC: 81Q05 35Q41 42A38 81R30 81S05 47D06 PDFBibTeX XMLCite \textit{R. M. López} et al., J. Difference Equ. Appl. 19, No. 4, 543--554 (2013; Zbl 1266.81073) Full Text: DOI arXiv
Lin, Chin-Cheng; Liu, Heping \(BMO_L(\mathbb H^n)\) spaces and Carleson measures for Schrödinger operators. (English) Zbl 1235.22012 Adv. Math. 228, No. 3, 1631-1688 (2011). Reviewer: Dashan Fan (Milwaukee) MSC: 22E30 35J10 42B30 43A80 PDFBibTeX XMLCite \textit{C.-C. Lin} and \textit{H. Liu}, Adv. Math. 228, No. 3, 1631--1688 (2011; Zbl 1235.22012) Full Text: DOI
Sun, He-Jun Universal inequalities and bounds for weighted eigenvalues of the Schrödinger operator on the Heisenberg group. (English) Zbl 1218.35158 Turk. J. Math. 35, No. 2, 249-258 (2011). MSC: 35P15 35R03 35J10 53C17 42B37 PDFBibTeX XMLCite \textit{H.-J. Sun}, Turk. J. Math. 35, No. 2, 249--258 (2011; Zbl 1218.35158)
Volchkov, V. V.; Volchkov, Vit. V. Asymptotic behavior of the solutions of some differential equations. (Russian) Zbl 1249.35205 Tr. Inst. Prikl. Mat. Mekh. 21, 45-55 (2010). Reviewer: Evgeny Sevost’yanov (Donetsk) MSC: 35L05 42A85 PDFBibTeX XMLCite \textit{V. V. Volchkov} and \textit{Vit. V. Volchkov}, Tr. Inst. Prikl. Mat. Mekh. 21, 45--55 (2010; Zbl 1249.35205)
Liu, Yu The weighted estimates of the Schrödinger operators on the nilpotent Lie group. (English) Zbl 1240.35372 J. Math. Res. Expo. 30, No. 6, 1023-1031 (2010). MSC: 35R03 35B45 35J10 42B20 PDFBibTeX XMLCite \textit{Y. Liu}, J. Math. Res. Expo. 30, No. 6, 1023--1031 (2010; Zbl 1240.35372) Full Text: DOI
Jiang, Yinsheng Some properties of Riesz potential associated to Schrödinger operator on the Heisenberg groups. (Chinese. English summary) Zbl 1240.42047 Acta Math. Sin., Chin. Ser. 53, No. 4, 785-794 (2010). MSC: 42B20 42B30 42B35 35J10 PDFBibTeX XMLCite \textit{Y. Jiang}, Acta Math. Sin., Chin. Ser. 53, No. 4, 785--794 (2010; Zbl 1240.42047)
Yu, Liu \(L^p\) estimates for Schrödinger type operators on the Heisenberg group. (English) Zbl 1187.22008 J. Korean Math. Soc. 47, No. 2, 425-443 (2010). Reviewer: Lubomira Softova (Aversa) MSC: 22E30 35J10 42B20 PDFBibTeX XMLCite \textit{L. Yu}, J. Korean Math. Soc. 47, No. 2, 425--443 (2010; Zbl 1187.22008) Full Text: DOI
Barbas, Helena Riesz transforms on groups of Heisenberg type. (English) Zbl 1185.22005 J. Geom. Anal. 20, No. 1, 1-38 (2010). Reviewer: Koichi Saka (Akita) MSC: 22E30 22E25 42B20 43A80 58J35 PDFBibTeX XMLCite \textit{H. Barbas}, J. Geom. Anal. 20, No. 1, 1--38 (2010; Zbl 1185.22005) Full Text: DOI
Krantz, Steven G. Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. (English) Zbl 1171.43001 Applied and Numerical Harmonic Analysis. Basel: Birkhäuser (ISBN 978-0-8176-4668-4/hbk; 978-0-8176-4669-1/ebook). xiv, 360 p. (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 43-02 32-XX 42-XX 44-XX 43-XX PDFBibTeX XMLCite \textit{S. G. Krantz}, Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. Basel: Birkhäuser (2009; Zbl 1171.43001) Full Text: DOI
Boggess, Albert; Raich, Andrew A simplified calculation for the fundamental solution to the heat equation on the Heisenberg group. (English) Zbl 1166.32023 Proc. Am. Math. Soc. 137, No. 3, 937-944 (2009). Reviewer: Vasile Oproiu (Iaşi) MSC: 32W30 33C45 42C10 PDFBibTeX XMLCite \textit{A. Boggess} and \textit{A. Raich}, Proc. Am. Math. Soc. 137, No. 3, 937--944 (2009; Zbl 1166.32023) Full Text: DOI arXiv
Liu, Heping; Liu, Yu Refinable functions on the Heisenberg group. (English) Zbl 1205.42032 Commun. Pure Appl. Anal. 6, No. 3, 775-787 (2007). Reviewer: Stefan Neuwirth (Besançon) MSC: 42C40 43A80 22E25 PDFBibTeX XMLCite \textit{H. Liu} and \textit{Y. Liu}, Commun. Pure Appl. Anal. 6, No. 3, 775--787 (2007; Zbl 1205.42032) Full Text: DOI
Hilger, Stefan The discrete and periodic heat and harmonic oscillator equation. (English) Zbl 1132.39013 J. Difference Equ. Appl. 13, No. 8-9, 741-793 (2007). Reviewer: Zhibo Huang (Guangzhou) MSC: 39A12 34L40 35K05 42A16 33C45 PDFBibTeX XMLCite \textit{S. Hilger}, J. Difference Equ. Appl. 13, No. 8--9, 741--793 (2007; Zbl 1132.39013) Full Text: DOI
Zienkiewicz, Jacek Schrödinger equation on the Heisenberg group. (English) Zbl 1056.22004 Stud. Math. 161, No. 2, 99-111 (2004). Reviewer: Vladimir V. Kisil (Leeds) MSC: 22E30 35H10 42B25 35S10 PDFBibTeX XMLCite \textit{J. Zienkiewicz}, Stud. Math. 161, No. 2, 99--111 (2004; Zbl 1056.22004) Full Text: DOI Link
Blair, David E.; Dragomir, Sorin The Rossi-Vergne theorem and constant coefficient PDEs on the Heisenberg group. (English) Zbl 1041.32028 Dragomir, Sorin (ed.), Selected topics in Cauchy-Riemann geometry. Rome: Aracne (ISBN 88-7999-409-3/hbk). Quad. Mat. 9, 89-98 (2003). Reviewer: Vasily A. Chernecky (Odessa) MSC: 32W50 35S30 42B10 58J40 PDFBibTeX XMLCite \textit{D. E. Blair} and \textit{S. Dragomir}, Quad. Mat. 9, 89--98 (2003; Zbl 1041.32028)
Berenstein, Carlos; Chang, Der-Chen; Tie, Jingzhi Laguerre calculus and its applications on the Heisenberg group. (English) Zbl 0986.22008 AMS/IP Studies in Advanced Mathematics. 22. Providence, RI: American Mathematical Society (AMS). xii, 319 p. (2001). Reviewer: K.Saka (Akita) MSC: 22E30 43A80 22-02 43-02 33C20 42C10 47G30 32W05 32A10 30E99 PDFBibTeX XMLCite \textit{C. Berenstein} et al., Laguerre calculus and its applications on the Heisenberg group. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0986.22008)
Chang, Der-Chen; Tie, Jingzhi Some differential operators related to the non-isotropic Heisenberg sub-Laplacian. (English) Zbl 0973.22004 Math. Nachr. 221, 19-39 (2001). Reviewer: Oleg Titow (Berlin) MSC: 22E30 35R20 42B20 PDFBibTeX XMLCite \textit{D.-C. Chang} and \textit{J. Tie}, Math. Nachr. 221, 19--39 (2001; Zbl 0973.22004) Full Text: DOI
Heil, Christopher; Ramanathan, Jayakumar; Topiwala, Pankaj Linear independence of time-frequency translates. (English) Zbl 0859.42023 Proc. Am. Math. Soc. 124, No. 9, 2787-2795 (1996). MSC: 42C15 46B15 PDFBibTeX XMLCite \textit{C. Heil} et al., Proc. Am. Math. Soc. 124, No. 9, 2787--2795 (1996; Zbl 0859.42023) Full Text: DOI
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