| [1] Alexopoulos G. Spectral multipliers on Lie groups of polynomial growth. Proc Amer Math Soc, 1994, 120:973-979
[2] Bahouri H, Fermanian K C, Gallagher I. Phase-space Analysis and Pseudodifferential Calculus on the Heisenberg Group. Paris:Astérisque, 2012
[3] Bahouri H, Gérard P, Xu C J. Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg. J Anal Math, 2000, 82:93-118
[4] Brackx F, Delanghe R, Sommen F. Clifford Analysis. Boston:Pitman Advanced Publishing Program, 1982
[5] Christ M. Lp bounds for spectral multipliers on nilpotent groups. Trans Amer Math Soc, 1991, 328:73-81
[6] Faraut J, Harzallah K. Deux Cours d'Analyse Harmonique. Boston:Birkhäuser Boston Inc, 1987
[7] Folland G B, Stein E M. Hardy Spaces on Homogeneous Groups. Princeton:Princeton university press, 1982
[8] Führ H, Mayeli A. Homogeneous Besov spaces on stratified Lie groups and their wavelet characterization. J Funct Space Appl, 2012, Art ID:523586
[9] Furioli G, Melzi C, Veneruso A. Strichartz inequalities for the wave equation with the full Laplacian on the Heisenberg group. Canad J Math, 2007, 59:1301-1322
[10] Furioli G, Melzi C, Veneruso A. Littlewood-Paley decompositions and Besov spaces on Lie groups of polynomial growth. Math Nachr, 2006, 279:1028-1040
[11] Geller D. Spherical harmonics, the Weyl transform and the Fourier transform on the Heisenberg group. Canad J Math, 1984, 36:615-684
[12] Geller D, Meyeli A. Continuous wavelets and frames on stratified Lie groups I. J Fourier Anal Appl, 2006, 12:543-579
[13] Ginibre J, Velo G. Generalized Strichartz inequalities for the wave equation. J Funct Anal, 1995, 133:50-68
[14] Grafakos L. Modern Fourier Analysis. New York:Springer, 2009
[15] He J X, Liu H P. Wavelet transform and Radon transform on the quaternion Heisenberg group. Acta Math Sin, 2014, 30:619-636
[16] Kaplan A, Ricci F. Harmonic analysis on groups of Heisenberg type//Harmonic Analysis, Lecture Notes in Math. Berlin:Springer, 1983:416-435
[17] Keel M, Tao T. Endpoint Strichartz estimates. Amer J Math, 1998, 120:955-980
[18] Lebedev N N, Richard A S. Special Functions and Their Applications. New York:Dover Publication Inc, 1972
[19] Liu H P, Song M L. Strichartz inequalities for the wave equation with the full Laplacian on H-type groups. Abstr Appl Anal, 2014, Art ID:219375
[20] Liu H P, Zhang G K. Generalized Cauchy-Szego projection and the Heisenberg fan on the quaternionic Heisenberg group. Preprint
[21] Magnus W, Oberhettinger F, Soni R P. Formulas and Theorems for the Special Functions of Mathematical Phycics. New York:Springer, 1966
[22] Melrose R. Propagation for the wave group of a positive subelliptic second order differential operator//Mizohata S. HERT. New York:Academic Press, 1986:181-192
[23] Muller D, Ricci F, Stein E M. Marcinkiewicz multipliers and multi-parameter structure on the Heisenberg (-type) groups II. Math Z, 1996, 221:267-291
[24] Segal I E. Space-time decay for solutions of wave equations. Adv Math, 1976, 22:304-311
[25] Sepanski Mark R. Compact Lie Groups, New York:Springer, 2007
[26] Song N Q, Zhao J M. Strichartz estimates on the quaternion Heisenberg group. Bull Sci Math, 2014, 138:293-315
[27] Stein E M. Harmonic analysis:real-variable methods, orthogonality, and oscillatory integrals. Princeton:Princeton University Press, 1993
[28] Strichartz R S. Restrication of Fourier transform to quadratic surfaces and decay of solutions of wave equations. Duke Math, 1977, 44:705-774
[29] Thangavelu S. Harmonic Analysis on the Heisenberg Group. Boston:Birkhäuser Boston Inc, 1998
[30] Tie J Z, Wong M W. The heat kernel and Green functions of sub-Laplacians on the quaternion Heisenberg group. J Geom Anal, 2009, 19:191-210
[31] Zhu F L. The heat kernel and the riesz transforms on the quaternion Heisenberg groups. Pac J Math, 2003, 209:175-199 |