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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.
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(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.
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(A37)
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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.
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(A38)
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Driver, Bruce K.;
and Gordina, Maria: Integrated Harnack
inequalities on Lie groups, Journal of Differential Geometry,
83 (2009) no. 3, 501--550.
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(A39)
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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. |
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