References
- W , Barker . 1976 . Positive definite distributions on unimodular Lie group. . Duke Mathematical Journal , 43 : 71 – 79 .
- C , Benson , Jenkins , J and G , Ratcliff . 1998 . The spherical transform of a Schwartz function on the Heisenberg group. . Journal of Functional Analysis , 154 : 379 – 423 .
- GB , Folland . 1973 . A fundamental solution for a subelliptic operator. . Bulletin of American Mathematical Society , 79 : 373 – 376 .
- GB , Folland . 1975 . Subelliptic estimates and function spaces on nilpotent Lie groups. . Arkiv for Matematik , 13 : 161 – 207 .
- GB , Folland . 1989 . Harmonic Analysis in Phase Space , New Jersey : Princeton University Press .
- Folland , GB and EM , Stein . 1974 . Estimates for -complex and analysis on the Heisenberg group. . Communications on Pure and Applied Mathematics , 27 : 429 – 522 .
- B , Gaveau . 1977 . Principe de moindre action, propagation de la Chaleur et estimées sous-elliptiques sur certains groupes nilpotenes. . Acta Mathematica , 139 : 95 – 153 .
- L , Hörmander . 1983 . The Analysis of Linear Partial Differential Operators I , Berlin, Heidelberg : Springer-Verlag .
- Jerison , DS and Sánchez-Calle , A . 1986 . Estimates for the heat kernel for a sum of squares of vector fields. . Indiana University Mathematics Journal , 35 : 835 – 854 .
- Kim , J and Wong , MW . 2005 . “ The Schoenberg theorem for positive definite functions on Heisenberg groups ” . In Advances in Analysis , Edited by: Begehr , HGW , Gilbert , RP , Muldoon , ME and Wong , MW . 265 – 273 . Singapore : World Scientific .
- ME , Taylor . 1986 . Noncommutative Harmonic Analysis , Providence, Rhode Island : American Mathematical Society .
- DV , Widder . 1975 . The Heat Equation , New York : Academic Press .
- MW , Wong . 1998 . Weyl Transforms , New York : Springer-Verlag .