-
1
-
-
0348230468
-
The Segal-Bargmann transform for two-dimensional Euclidean quantum Yang-Mills
-
S. Albeverio, B. Hall, and A. Sengupta, The Segal-Bargmann transform for two-dimensional Euclidean quantum Yang-Mills, In finite Dimensional Anal. Quantum Prob. 2 (1999), 27-49.
-
(1999)
In Finite Dimensional Anal. Quantum Prob
, vol.2
, pp. 27-49
-
-
Albeverio, S.1
Hall, B.2
Sengupta, A.3
-
2
-
-
16144366293
-
Coherent state transforms for spaces of connections
-
MR 97d:58031
-
A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourão, and T. Thiemann, Coherent state transforms for spaces of connections, J. Funct. Anal. 135 (1996), 519-551.MR 97d:58031
-
(1996)
J. Funct. Anal
, vol.135
, pp. 519-551
-
-
Ashtekar, A.1
Lewandowski, J.2
Marolf, D.3
Mourão, J.4
Thiemann, T.5
-
3
-
-
0003876935
-
-
Press, Princeton, NJ, MR 93m:81002
-
J. Baez, I. Segal, and Z. Zhou, Introduction to Algebraic and Constructive Quantum Field Theory, Princeton Univ. Press, Princeton, NJ, 1992.MR 93m:81002
-
(1992)
Introduction to Algebraic and Constructive Quantum Field Theory, Princeton Univ
-
-
Baez, J.1
Segal, I.2
Zhou, Z.3
-
4
-
-
84980077803
-
On a Hilbert space of analytic functions and an associated integral transform, Part I
-
MR 28:486
-
V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform, Part I, Comm. Pure Appl. Math. 14 (1961), 187-214.MR 28:486
-
(1961)
Comm. Pure Appl. Math
, vol.14
, pp. 187-214
-
-
Bargmann, V.1
-
5
-
-
0031568602
-
Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
-
MR 97k:22011
-
P. Biane, Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems, J. Funct. Anal. 144 (1997), 232–286.MR 97k:22011
-
(1997)
J. Funct. Anal
, vol.144
, pp. 232-286
-
-
Biane, P.1
-
7
-
-
0002285687
-
On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
-
MR 97j:22020
-
B. Driver, On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms, J. Funct. Anal. 133 (1995), 69-128.MR 97j:22020
-
(1995)
J. Funct. Anal
, vol.133
, pp. 69-128
-
-
Driver, B.1
-
8
-
-
0002523116
-
Hilbert spaces of holomorphic functions on complex Lie groups
-
K. Elworthy, S. Kusuoka, and I. Shigekawa, Eds.), World Scienti c, Singapore, MR 2000h:46029
-
B. Driver and L. Gross, Hilbert spaces of holomorphic functions on complex Lie groups, In: New trends in stochastic analysis (K. Elworthy, S. Kusuoka, and I. Shigekawa, Eds.), World Scienti c, Singapore, 1997, pp. 76-106.MR 2000h:46029
-
(1997)
New Trends in Stochastic Analysis
, pp. 76-106
-
-
Driver, B.1
Gross, L.2
-
9
-
-
0033246638
-
Yang-Mills theory and the Segal-Bargmann transform
-
MR 2000c:58064
-
B. Driver and B. Hall, Yang-Mills theory and the Segal-Bargmann transform, Commun. Math. Phys. 201 (1999), 249-290.MR 2000c:58064
-
(1999)
Commun. Math. Phys
, vol.201
, pp. 249-290
-
-
Driver, B.1
Hall, B.2
-
10
-
-
21944450154
-
Asymptotic behaviour of reproducing kernels of weighted Bergman spaces
-
MR 97k:46033
-
M. Englis, Asymptotic behaviour of reproducing kernels of weighted Bergman spaces, Trans. Amer. Math. Soc. 349 (1997), 3717–3735.MR 97k:46033
-
(1997)
Trans. Amer. Math. Soc
, vol.349
, pp. 3717-3735
-
-
Englis, M.1
-
11
-
-
0000947451
-
Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
-
MR 80f:43022
-
M. Flensted-Jensen, Spherical functions on a real semisimple Lie group. A method of reduction to the complex case, J. Funct. Anal. 30 (1978), 106-146.MR 80f:43022
-
(1978)
J. Funct. Anal
, vol.30
, pp. 106-146
-
-
Flensted-Jensen, M.1
-
13
-
-
0039768601
-
The uncertainty principle: A mathematical survey
-
MR 98f:42006
-
G. Folland and A. Sitaram, The uncertainty principle: a mathematical survey, J. Fourier Anal. Appl. 3 (1997), 207–238.MR 98f:42006
-
(1997)
J. Fourier Anal. Appl
, vol.3
, pp. 207-238
-
-
Folland, G.1
Sitaram, A.2
-
14
-
-
0034378790
-
Holomorphic functions and the heat kernel measure on an in nite dimensional complex orthogonal group
-
M. Gordina, Holomorphic functions and the heat kernel measure on an in nite dimensional complex orthogonal group, Potential Anal., 12 (2000), 325–357.
-
(2000)
Potential Anal.
, vol.12
, pp. 325-357
-
-
Gordina, M.1
-
15
-
-
0009928227
-
Heat kernel analysis and Cameron-Martin subgroup for in nite dimensional groups
-
CMP 2000:08
-
M. Gordina, Heat kernel analysis and Cameron-Martin subgroup for in nite dimensional groups, J. Funct. Anal. 171 (2000), 192-232. CMP 2000:08
-
(2000)
J. Funct. Anal
, vol.171
, pp. 192-232
-
-
Gordina, M.1
-
17
-
-
0001572330
-
Uniqueness of ground states for Schrodinger operators over loop groups
-
MR 94h:58180
-
L. Gross, Uniqueness of ground states for Schrodinger operators over loop groups, J. Funct. Anal. 112 (1993), 373-441.MR 94h:58180
-
(1993)
J. Funct. Anal
, vol.112
, pp. 373-441
-
-
Gross, L.1
-
18
-
-
0006837842
-
Analysis on loop groups
-
Kluwer Acad. Publ., Dor-drecht, MR 96j:58023
-
L. Gross, Analysis on loop groups, In: Stochastic analysis and applications in physics (Funchal, 1993), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 449, Kluwer Acad. Publ., Dor-drecht, 1994, pp. 99–118.MR 96j:58023
-
(1994)
Stochastic Analysis and Applications in Physics (Funchal, 1993), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.
, vol.449
, pp. 99-118
-
-
Gross, L.1
-
19
-
-
85009768726
-
Harmonic functions on loop groups
-
Asterisque No. 252, Exp. No. 846, 5, MR 2000c:60084
-
L. Gross, Harmonic functions on loop groups, In: Seminaire Bourbaki Vol. 1997/98, Asterisque No. 252, (1998), Exp. No. 846, 5, 271–286.MR 2000c:60084
-
(1998)
Seminaire Bourbaki
, vol.1997-98
, pp. 271-286
-
-
Gross, L.1
-
20
-
-
0010989169
-
The homogeneous chaos over compact Lie groups
-
S. Cambanis et al., Eds.), Springer, New York, MR 97j:22021
-
L. Gross, The homogeneous chaos over compact Lie groups, In: Stochastic processes: A Festschrift in Honour of Gopinath Kallianpur (S. Cambanis et al., Eds.), Springer, New York, 1993, pp. 117–123.MR 97j:22021
-
(1993)
Stochastic Processes: A Festschrift in Honour of Gopinath Kallianpur
, pp. 117-123
-
-
Gross, L.1
-
21
-
-
0040438371
-
Harmonic analysis for the heat kernel measure on compact homogeneous spaces
-
(Baton Rouge, LA, 1994), (H. Kunita and H.-H. Kuo, Eds.), Pitman Res. Notes Math. Ser., 310, Longman Sci. Tech., Harlow, MR 97g:58178
-
L. Gross, Harmonic analysis for the heat kernel measure on compact homogeneous spaces, In: Stochastic analysis on in finite-dimensional spaces (Baton Rouge, LA, 1994), (H. Kunita and H.-H. Kuo, Eds.), Pitman Res. Notes Math. Ser., 310, Longman Sci. Tech., Harlow, 1994, pp. 99–110.MR 97g:58178
-
(1994)
Stochastic Analysis on in Finite-Dimensional Spaces
, pp. 99-110
-
-
Gross, L.1
-
22
-
-
0032377414
-
Some norms on universal enveloping algebras
-
MR 2000b:17015
-
L. Gross, Some norms on universal enveloping algebras, Canad. J. Math. 50 (1998), 356–377.MR 2000b:17015
-
(1998)
Canad. J. Math
, vol.50
, pp. 356-377
-
-
Gross, L.1
-
23
-
-
22844453922
-
A local Peter-Weyl theorem
-
MR 2000c:22007
-
L. Gross, A local Peter-Weyl theorem, Trans. Amer. Math. Soc. 352 (2000), 413–427.MR 2000c:22007
-
(2000)
Trans. Amer. Math. Soc.
, vol.352
, pp. 413-427
-
-
Gross, L.1
-
25
-
-
0001976103
-
Hall's transform and the Segal-Bargmann map
-
M. Fukushima, N. Ikeda, H. Kunita, and S. Watanabe, Eds.), Springer-Verlag, Berlin/New York, MR 98j:22010
-
L. Gross and P. Malliavin, Hall's transform and the Segal-Bargmann map, In: Itô's stochas-tic calculus and probability theory, (M. Fukushima, N. Ikeda, H. Kunita, and S. Watanabe, Eds.), Springer-Verlag, Berlin/New York, 1996, pp. 73-116.MR 98j:22010
-
(1996)
Itô's Stochas-Tic Calculus and Probability Theory
, pp. 73-116
-
-
Gross, L.1
Malliavin, P.2
-
26
-
-
84972536305
-
Grauert tubes and the homogeneous Monge-Ampere equation
-
MR 93e:32018
-
V. Guillemin and M. Stenzel, Grauert tubes and the homogeneous Monge-Ampere equation, J. Di erential Geom. 34 (1991), 561–570.MR 93e:32018
-
(1991)
J. Di Erential Geom
, vol.34
, pp. 561-570
-
-
Guillemin, V.1
Stenzel, M.2
-
27
-
-
34250231714
-
Geometric quantization and multiplicities of group rep-resentations
-
MR 83m:58040
-
V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group rep-resentations, Invent. Math. 67 (1982), 515–538.MR 83m:58040
-
(1982)
Invent. Math
, vol.67
, pp. 515-538
-
-
Guillemin, V.1
Sternberg, S.2
-
28
-
-
0000374308
-
The Segal-Bargmann "coherent state" transform for compact Lie groups
-
MR 95e:22020
-
B. Hall, The Segal-Bargmann "coherent state" transform for compact Lie groups, J. Funct. Anal. 122 (1994), 103-151.MR 95e:22020
-
(1994)
J. Funct. Anal
, vol.122
, pp. 103-151
-
-
Hall, B.1
-
29
-
-
0030672169
-
The inverse Segal-Bargmann transform for compact Lie groups
-
MR 98e:22004
-
B. Hall, The inverse Segal-Bargmann transform for compact Lie groups, J. Funct. Anal. 143 (1997), 98-116.MR 98e:22004
-
(1997)
J. Funct. Anal
, vol.143
, pp. 98-116
-
-
Hall, B.1
-
30
-
-
0031546438
-
Phase space bounds for quantum mechanics on a compact Lie group
-
MR 98g:81108
-
B. Hall, Phase space bounds for quantum mechanics on a compact Lie group, Comm. Math. Phys. 184 (1997), 233-250.MR 98g:81108
-
(1997)
Comm. Math. Phys
, vol.184
, pp. 233-250
-
-
Hall, B.1
-
31
-
-
0002432665
-
Quantum mechanics in phase space
-
(L. Coburn and M. Rie el, Eds), Contemp. Math, Amer. Math. Soc., Providence, RI, MR 99e:22015
-
B. Hall, Quantum mechanics in phase space, In: Perspectives on quantization (L. Coburn and M. Rie el, Eds), Contemp. Math., Vol. 214, Amer. Math. Soc., Providence, RI, 1998, pp. 47–62.MR 99e:22015
-
(1998)
Perspectives on Quantization
, vol.214
, pp. 47-62
-
-
Hall, B.1
-
32
-
-
0033444082
-
A new form of the Segal-Bargmann transform for Lie groups of compact type
-
MR 2000g:22013
-
B. Hall, A new form of the Segal-Bargmann transform for Lie groups of compact type, Canad. J. Math. 51 (1999), 816-834.MR 2000g:22013
-
(1999)
Canad. J. Math
, vol.51
, pp. 816-834
-
-
Hall, B.1
-
33
-
-
0002501466
-
Holomorphic methods in analysis and mathematical physics
-
(S. Perez-Esteva and C. Villegas-Blas, Eds.), Contemp. Math, Amer. Math. Soc., Providence, RI
-
B. Hall, Holomorphic methods in analysis and mathematical physics, In: First Summer School in Analysis and Mathematical Physics (S. Perez-Esteva and C. Villegas-Blas, Eds.), Contemp. Math., Vol. 260, Amer. Math. Soc., Providence, RI, 2000, pp. 1–59.
-
(2000)
First Summer School in Analysis and Mathematical Physics
, vol.260
, pp. 1-59
-
-
Hall, B.1
-
36
-
-
0001498713
-
The Segal-Bargmann transform for path-groups
-
MR 99a:58020
-
B. Hall and A. Sengupta, The Segal-Bargmann transform for path-groups, J. Funct. Anal. 152 (1998), 220-254.MR 99a:58020
-
(1998)
J. Funct. Anal
, vol.152
, pp. 220-254
-
-
Hall, B.1
Sengupta, A.2
-
37
-
-
0003972403
-
-
Academic Press, New York, San Diego, MR 80k:53081
-
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press, New York, San Diego, 1978.MR 80k:53081
-
(1978)
Differential Geometry, Lie Groups, and Symmetric Spaces
-
-
Helgason, S.1
-
38
-
-
0000987255
-
Hermite functions on compact Lie groups. I
-
MR 96e:22017
-
O. Hijab, Hermite functions on compact Lie groups. I, J. Funct. Anal. 125 (1994), 480–492.MR 96e:22017
-
(1994)
J. Funct. Anal
, vol.125
, pp. 480-492
-
-
Hijab, O.1
-
39
-
-
0002270585
-
Hermite functions on compact Lie groups. II
-
MR 96m:22015
-
O. Hijab, Hermite functions on compact Lie groups. II, J. Funct. Anal. 133 (1995), 41–49.MR 96m:22015
-
(1995)
J. Funct. Anal
, vol.133
, pp. 41-49
-
-
Hijab, O.1
-
41
-
-
0000097613
-
Geometric quantization
-
Dynamical Systems IV (V. Arnold and S. Novikov, Eds.), Springer-Verlag, New York, Berlin
-
A. Kirillov, Geometric quantization, In: Dynamical Systems IV (V. Arnold and S. Novikov, Eds.), Encyclopaedia of Mathematical Sciences, Vol. 4, Springer-Verlag, New York, Berlin, 1990.
-
(1990)
Encyclopaedia of Mathematical Sciences
, vol.4
-
-
Kirillov, A.1
-
43
-
-
33745057539
-
Rie el induction as generalized quantum Marsden-Weinstein reduction
-
MR 96k:81116a
-
N. Landsman, Rie el induction as generalized quantum Marsden-Weinstein reduction, J. Geom. Phys. 15 (1995), 285–319.MR 96k:81116a
-
(1995)
J. Geom. Phys
, vol.15
, pp. 285-319
-
-
Landsman, N.1
-
45
-
-
0000057368
-
Global solutions of the homogeneous complex Monge-Ampere equation and complex structures on the tangent bundle of Riemannian manifolds
-
MR 92m:32022
-
L. Lempert and R. Szoke, Global solutions of the homogeneous complex Monge-Ampere equation and complex structures on the tangent bundle of Riemannian manifolds, Math. Ann. 290 (1991), 689–712.MR 92m:32022
-
(1991)
Math. Ann
, vol.290
, pp. 689-712
-
-
Lempert, L.1
Szoke, R.2
-
46
-
-
4243602858
-
Non-perturbative solutions for lattice quantum gravity
-
MR 96c:83024
-
R. Loll, Non-perturbative solutions for lattice quantum gravity, Nucl. Phys. B 444 (1995), 619–639.MR 96c:83024
-
(1995)
Nucl. Phys. B
, vol.444
, pp. 619-639
-
-
Loll, R.1
-
47
-
-
0033145439
-
Short time behavior of Hermite functions on compact Lie groups
-
MR 2000d:22010
-
J. Mitchell, Short time behavior of Hermite functions on compact Lie groups, J. Funct. Anal. 164 (1999), 209-248.MR 2000d:22010
-
(1999)
J. Funct. Anal
, vol.164
, pp. 209-248
-
-
Mitchell, J.1
-
49
-
-
0000440315
-
A nonunitary pairing of polarizations for the Kepler problem
-
MR 81m:58037
-
J. Rawnsley, A nonunitary pairing of polarizations for the Kepler problem, Trans. Amer. Math. Soc. 250 (1979), 167–180.MR 81m:58037
-
(1979)
Trans. Amer. Math. Soc
, vol.250
, pp. 167-180
-
-
Rawnsley, J.1
-
50
-
-
0343786212
-
-
Second Edition, Academic Press, New York, London, MR 85e:46002
-
M. Reed and B. Simon, Methods of Modern Mathematical Physics, I: Functional Analysis, Second Edition, Academic Press, New York, London, 1980.MR 85e:46002
-
(1980)
Methods of Modern Mathematical Physics, I: Functional Analysis
-
-
Reed, M.1
Simon, B.2
-
51
-
-
21344460008
-
Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups
-
MR 98d:60108
-
G. Sadasue, Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups, J. Math. Kyoto Univ. 35 (1995), 653–662.MR 98d:60108
-
(1995)
J. Math. Kyoto Univ
, vol.35
, pp. 653-662
-
-
Sadasue, G.1
-
52
-
-
0003272857
-
Mathematical problems of relativistic physics, Chap. VI
-
Boulder, Colorado, M. Kac, Ed.), Lectures in Applied Mathematics, American Math. Soc., Providence, Rhode Island, 1963. MR 26:1774
-
I. Segal, Mathematical problems of relativistic physics, Chap. VI, In: Proceedings of the Summer Seminar, Boulder, Colorado, 1960, Vol. II. (M. Kac, Ed.), Lectures in Applied Mathematics, American Math. Soc., Providence, Rhode Island, 1963. MR 26:1774
-
(1960)
Proceedings of the Summer Seminar
, vol.2
-
-
Segal, I.1
-
53
-
-
84972505242
-
Mathematical characterization of the physical vacuum for a linear Bose-Einstein eld
-
MR 26:1075
-
I. Segal, Mathematical characterization of the physical vacuum for a linear Bose-Einstein eld, Illinois J. Math. 6 (1962), 500-523.MR 26:1075
-
(1962)
Illinois J. Math
, vol.6
, pp. 500-523
-
-
Segal, I.1
-
54
-
-
0000663904
-
The complex wave representation of the free Boson eld
-
Topics in functional analysis: Essays dedicated to M.G. Krein on the occasion of his 70th birthday (I. Gohberg and M. Kac, Eds), Academic Press, New York, MR 82d:81069
-
I. Segal, The complex wave representation of the free Boson eld, In: Topics in functional analysis: Essays dedicated to M.G. Krein on the occasion of his 70th birthday (I. Gohberg and M. Kac, Eds), Advances in Mathematics Supplementary Studies, Vol. 3, Academic Press, New York, 1978, pp. 321-343.MR 82d:81069
-
(1978)
Advances in Mathematics Supplementary Studies
, vol.3
, pp. 321-343
-
-
Segal, I.1
-
55
-
-
0002830052
-
The Segal-Bargmann transform on a symmetric space of compact type
-
CMP 99:14
-
M. Stenzel, The Segal-Bargmann transform on a symmetric space of compact type, J. Funct. Anal. 165 (1999), 44–58. CMP 99:14
-
(1999)
J. Funct. Anal
, vol.165
, pp. 44-58
-
-
Stenzel, M.1
-
56
-
-
0345824347
-
Holomorphic Wiener function
-
New trends in stochastic analysis (Charing-worth, 1994) (K. D. Elworthy, S. Kusuoka, and I. Shigekawa, Eds.), River Edge, NJ, MR 2000f:60083
-
H. Sugita, Holomorphic Wiener function, In: New trends in stochastic analysis (Charing-worth, 1994) (K. D. Elworthy, S. Kusuoka, and I. Shigekawa, Eds.), World Sci. Publishing, River Edge, NJ, 1997, pp. 399–415.MR 2000f:60083
-
(1997)
World Sci. Publishing
, pp. 399-415
-
-
Sugita, H.1
-
57
-
-
22244460237
-
Reality conditions inducing transforms for quantum gauge field theory and quantum gravity
-
MR 97g:83055
-
T. Thiemann, Reality conditions inducing transforms for quantum gauge field theory and quantum gravity, Classical Quantum Gravity 13 (1996), 1383-1403.MR 97g:83055
-
(1996)
Classical Quantum Gravity
, vol.13
, pp. 1383-1403
-
-
Thiemann, T.1
-
58
-
-
85009819450
-
Gauge eld theory coherent states II
-
preprint
-
T. Thiemann, Gauge eld theory coherent states II. Peakedness properties, preprint. [http://xxx.lanl.gov hepth/0005237]
-
Peakedness Properties
-
-
Thiemann, T.1
-
59
-
-
0004251801
-
-
Second Edition, Oxford Univ. Press, Oxford, New York, MR 94a:58082
-
N. Woodhouse, Geometric Quantization, Second Edition, Oxford Univ. Press, Oxford, New York, 1991.MR 94a:58082
-
(1991)
Geometric Quantization
-
-
Woodhouse, N.1
-
60
-
-
0032558063
-
Constrained quantisation and -angles. II
-
MR 99g:58019
-
K. Wren, Constrained quantisation and -angles. II, Nuclear Phys. B 521 (1998), 471–502.MR 99g:58019
-
(1998)
Nuclear Phys. B
, vol.521
, pp. 471-502
-
-
Wren, K.1
-
61
-
-
85009819451
-
The heat kernel of the second classical domain and of the symmetric space of a normal real form
-
MR 94h:32054
-
F. Zhu, The heat kernel of the second classical domain and of the symmetric space of a normal real form, Chinese J. Contemp. Math. 13 (1992), 181–200.MR 94h:32054
-
(1992)
Chinese J. Contemp. Math
, vol.13
, pp. 181-200
-
-
Zhu, F.1
|