See also the page for
my book on Lie groups. Follow the link at left.
29. With K. Chailuek, Toeplitz operators on generalized Bergman spaces. To appear in Integral Equations and Operator Theory. IEOTfinal.pdf
28. With W. Kirwin, Adapted complex structures and the geodesic flow. Submitted for publication.
geodesic.pdf
27. Berezin-Toeplitz quantization on Lie groups, J. Functional Analysis 255 (2008), 2488–2506 (Special issue in honor of Paul Malliavin). Please e-mail me at bhall@nd.edu for a reprint.
26. Leonard Gross's work in infinite-dimensional analysis and heat kernel analysis, Comm. on Stochastic Analysis (special volume in honor of Leonard Gross), Vol. 2 (2008), 1-9. GrossCosa.pdf
25. The heat operator in infinite dimensions, in "Infinite Dimensional Analysis in Honor of H.-H. Kuo," edited by A. N. Sengupta and P. Sundar, World Scientific 2008, pp. 161-174.
24. With J. Mitchell, The Segal-Bargmann transform for compact quotients of symmetric spaces of the complex type. Submitted for publication. quotient.pdf
23. With J. Mitchell, Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type, J. Functional Analysis 254 (2008), 1575-1600. Please e-mail me at bhall@nd.edu for a reprint.
22. With W. Kirwin,
Unitarity in "quantization commutes with reduction," Comm. Math. Phys. 275 (2007), 401-442. Please e-mail me at bhall@nd.edu for a reprint.
21. With J. J. Mitchell,
The Segal-Bargmann transform for noncompact symmetric spaces of
the complex type, J. Functional Analysis 227
(2005), 338-371. jfa227.pdf
20. The range of the
heat operator, in "The Ubiquitous Heat Kernel," edited
by
Jay Jorgensen and Lynne
Walling, AMS 2006, pp. 203-231. range.pdf
19. With W. Lewkeeratiyutkul, Holomorphic Sobolev spaces and the
generalized Segal-Bargmann transform, J. Functional Analysis
217 (2004), 192-220. jfa217.pdf
18. With M. B. Stenzel, Sharp bounds for the heat kernel on certain
symmetric spaces of non-compact type. In, "Finite and Infinite
Dimensional Analysis in Honor of Leonard Gross" (H.-H. Kuo
and A. N. Sengupta, Eds.) 117--135, Contemp. Math. 317, Amer.
Math. Soc., Providence, RI, 2003. gross2.pdf
17. The Segal-Bargmann transform and the Gross ergodicity theorem.
In, "Finite and Infinite Dimensional Analysis in Honor of
Leonard Gross" (H.-H. Kuo and A. N. Sengupta, Eds.), 99--116,
Contemp. Math. 317, Amer. Math. Soc., Providence, RI, 2003. gross1.pdf
16. With J. J. Mitchell, The large radius limit for coherent states
on spheres. In, "Mathematical Results in Quantum Mechanics"
(R. Weder, et al., Eds.), 155--162, Contemp. Math. 307, Amer.
Math. Soc., Providence, RI, 2002. qmath.pdf
15. Geometric quantization and the generalized Segal-Bargmann
transform for Lie groups of compact type, Comm. Math. Phys.
226 (2002), 233--268.cmp226.pdf
14. With J. J. Mitchell, Coherent states on spheres, J. Math.
Phys. 43 (2002), 1211--1236. jmp43.pdf
13. Bounds on the Segal-Bargmann transform of Lp functions,
J. Fourier Anal. Appl. 7 (2001), 553--569.
jfaa7.pdf
12. Coherent states and the quantization of (1+1)-dimensional
Yang--Mills theory, Rev. Math. Phys. 13
(2001), 1281--1305. rmp13
11. Harmonic analysis with respect to heat kernel measure, Bull.
Amer. Math. Soc. (N.S.) 38 (2001), 43--78.
bull38.pdf
10. With B. K. Driver, The energy representation has no non-zero
fixed vectors. In, "Stochastic Processes, Physics and Geometry:
New Interplays, II" (Leipzig, 1999), 143--155, CMS Conf.
Proc., 29, Amer. Math. Soc., Providence, RI,
2000. Review in Math Reviews: MR2002f22034.pdf
9. Holomorphic methods in analysis and mathematical physics. In,
"First Summer School in Analysis and Mathematical Physics"
(S. Pérez-Esteva and C. Villegas-Blas, Eds.), 1--59, Contemp.
Math., 260, Amer. Math. Soc., Providence, RI,
2000. Review in Math Reviews: MR2001h81121.pdf
8. With S. Albeverio and A. N. Sengupta, The Segal-Bargmann transform
for two-dimensional Euclidean quantum Yang-Mills, Infin. Dimens.
Anal. Quantum Probab. Relat. Top. 2 (1999),
27--49. idaqp2.pdf
7. A new form of the Segal-Bargmann transform for Lie groups of
compact type, Canad. J. Math. 51 (1999),
816--834.
http://journals.cms.math.ca/cgi-bin/vault/view/hall1006
6. With B. K. Driver, Yang--Mills theory and the Segal-Bargmann
transform, Comm. Math. Phys. 201 (1999),
249--290. cmp201.pdf
5. With A. N. Sengpupta, The Segal-Bargmann transform for path-groups,
J. Funct. Anal. 152 (1998), 220--254.
jfa152.pdf
4. Quantum mechanics in phase space. In, "Perspectives on
Quantization" (L. Coburn and M. Rieffel, Eds.), 47--62, Contemp.
Math., 214, Amer. Math. Soc., Providence, RI,
1998. Review in Math Reviews: MR99e22015.pdf
3. Phase space bounds for quantum mechanics on a compact Lie group,
Comm. Math. Phys. 184 (1997), 233--250.
cmp184.pdf
2. The inverse Segal-Bargmann transform for compact Lie groups,
J. Funct. Anal. 143 (1997), 98--116.
jfa143.pdf
1. The Segal-Bargmann "coherent state" transform for
compact Lie groups, J. Funct. Anal. 122
(1994), 103--151. jfa122.pdf
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