Reference Material
Home Announcements Driver's  Notes Reference Material
 

Up

The following two sets of notes are provided as background reading material for the course.


The lecture notes will be based loosely on the following papers at

http://www.math.ucsd.edu/~bdriver/DRIVER/vitae-etc/bib.html

listed as; 

(A16)

B. K. Driver and L. Gross:  “Hilbert spaces of holomorphic functions on complex Lie groups,” New trends in stochastic analysis (Charigworth, 1994) (1997), pp. 76-106. 

 

(A21)

B. K. Driver and B. C. Hall: “Yang-Mills theory and the Segal-Bargmann transforms,” Comm. Math. Phys. 201(2) (1999), pp. 249-290. 

(A33)

Driver, Bruce K.; Gross, Leonard; and Saloff-Coste, Laurent: Holomorphic functions and subelliptic heat kernels over Lie groups. Journal of the European Mathematical Society,  Volume 11 Issue 5 (2009),  941--978.

 

(A35)

Driver, Bruce K.; and  Gordina, Maria: Heat kernel analysis on infinite-dimensional Heisenberg groups. J. Funct. Anal. 255 (2008), no. 9, 2395--2461.

 

(A36)

Driver, Bruce K.; Gross, Leonard; and Saloff-Coste, Laurent: Surjectivity of the Taylor map for complex nilpotent Lie groups. Mathematical Proceedings of the Cambridge Philosophical Society 146 (2009), no. 1, 177--195.

 

(A37)

Driver, Bruce K.; and Gordina, Maria: Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups. Journal Probability Theory and Related Fields, Published online: 1 April 2009.   0178-8051 (Print) 1432-2064 (Online), p. 1-48.

 

(A38)

Driver, Bruce K.; and  Gordina, Maria: Integrated Harnack inequalities on Lie groups, Journal of Differential Geometry,  83  (2009) no. 3, 501--550.

 

(A39)

Driver, Bruce K.; Gross, Leonard; and Saloff-Coste, Laurent: Growth of Taylor coefficients over complex homogeneous spaces. To appear in the Tohoku Mathematical Journal, 62 (September, 2010). no. 3, 51 pages.