TY  - BOOK
AU  - Alexopoulos,Georgios K.
TI  - Sub-Laplacians with drift on Lie groups of polynomial volume growth
T2  - Memoirs of the American Mathematical Society, 
SN  - 9781470403324 (online)
AV  - QA3QA387 .A57 no. 739
U1  - 510 s512/.55 21
PY  - 2002///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Lie groups
KW  - Functional analysis
N1  - "Volume 155, number 739 (end of volume)."; Includes bibliographical references (p. 99-101); 1. Introduction and statement of the results; 2. The control distance and the local Harnack inequality; 3. The proof of the Harnack inequality from Varopoulos's theorem and Propositions 1.6.3 and 1.6.4; 4. H�older continuity; 5. Nilpotent Lie groups; 6. Sub-Laplacians on nilpotent Lie groups; 7. A function which grows linearly; 8. Proof of Propositions 1.6.3 and 1.6.4 in the case of nilpotent Lie groups; 9. Proof of the Gaussian estimate in the case of nilpotent Lie groups; 10. Polynomials on nilpotent Lie groups; 11. A Taylor formula for the heat functions on nilpotent Lie groups; 12. Harnack inequalities for the derivatives of the heat functions on nilpotent Lie groups; 13. Harmonic functions of polynomial growth on nilpotent Lie groups; 14. Proof of the Berry-Esseen estimate in the case of nilpotent Lie groups; 15. The nil-shadow of a simply connected solvable Lie group; 16. Connected Lie groups of polynomial volume growth; 17. Proof of Propositions 1.6.3 and 1.6.4 in the general case; 18. Proof of the Gaussian estimate in the general case; 19. A Berry-Esseen estimate for the heat kernels on connected Lie groups of polynomial volume growth; 20. Polynomials on connected Lie groups of polynomial growth; 21. A Taylor formula for the heat functions on connected Lie groups of polynomial volume growth; 22. Harnack inequalities for the derivatives of the heat functions; 23. Harmonic functions of polynomial growth; 24. Berry-Esseen type of estimates for the derivatives of the heat kernel; 25. Riesz transforms; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/memo/0739
UR  - http://dx.doi.org/10.1090/memo/0739
ER  -