-
1
-
-
0001966421
-
Zonal spherical functions and Laplace operators on some symmetric spaces
-
F.A. Berezin F.I. Karpelevič Zonal spherical functions and Laplace operators on some symmetric spaces Dokl. Akad. Nauk SSSR 118 1958 9-12
-
(1958)
Dokl. Akad. Nauk SSSR
, vol.118
, pp. 9-12
-
-
Berezin, F.A.1
Karpelevič, F.I.2
-
3
-
-
0035540541
-
Characteristic polynomials of real symmetric random matrices
-
E. Brézin S. Hikami Characteristic polynomials of real symmetric random matrices Comm. Math. Phys. 223 2001 363-382
-
(2001)
Comm. Math. Phys.
, vol.223
, pp. 363-382
-
-
Brézin, E.1
Hikami, S.2
-
4
-
-
0038610844
-
An extension of the Harish-Chandra-Itzykson-Zuber integral
-
E. Brézin S. Hikami An extension of the Harish-Chandra-Itzykson-Zuber integral Comm. Math. Phys. 235 2003 125-137
-
(2003)
Comm. Math. Phys.
, vol.235
, pp. 125-137
-
-
Brézin, E.1
Hikami, S.2
-
5
-
-
16244370437
-
Bessel functions for root systems via the trigonometric setting
-
in press
-
S. Ben Saïd B. Ørsted Bessel functions for root systems via the trigonometric setting Internat. Math. Res. Notices 2005 in press
-
(2005)
Internat. Math. Res. Notices
-
-
Ben Saïd, S.1
Ørsted, B.2
-
6
-
-
0000680872
-
Solution of a three-body problem in one dimension
-
F. Calogero Solution of a three-body problem in one dimension J. Math. Phys. 10 1969 2191-2196
-
(1969)
J. Math. Phys.
, vol.10
, pp. 2191-2196
-
-
Calogero, F.1
-
7
-
-
0040218163
-
Explicit formulas for spherical functions on symmetric spaces of type AII
-
O. Chalykh A. Veselov Explicit formulas for spherical functions on symmetric spaces of type AII Funct. Anal. Appl. 26 1992 59-60
-
(1992)
Funct. Anal. Appl.
, vol.26
, pp. 59-60
-
-
Chalykh, O.1
Veselov, A.2
-
8
-
-
0033517393
-
Multidimensional Baker-Akhiezer functions and Huygens' principle
-
O. Chalykh M. Feigin A. Veselov Multidimensional Baker-Akhiezer functions and Huygens' principle Comm. Math. Phys. 206 1999 533-566
-
(1999)
Comm. Math. Phys.
, vol.206
, pp. 533-566
-
-
Chalykh, O.1
Feigin, M.2
Veselov, A.3
-
9
-
-
16244365123
-
Une formule asymptotique du type Mehler-Heine pour les zonales d'un espace riemannien symétrique
-
J.L. Clerc Une formule asymptotique du type Mehler-Heine pour les zonales d'un espace riemannien symétrique Studia Math. 57 1976 27-32
-
(1976)
Studia Math.
, vol.57
, pp. 27-32
-
-
Clerc, J.L.1
-
10
-
-
84963950040
-
Differential-difference operators associated to reflection groups
-
C.F. Dunkl Differential-difference operators associated to reflection groups Trans. Amer. Math. Soc. 311 1989 167-183
-
(1989)
Trans. Amer. Math. Soc.
, vol.311
, pp. 167-183
-
-
Dunkl, C.F.1
-
13
-
-
0012898070
-
On contractions of semisimple Lie groups
-
A. Dooley J.W. Rice On contractions of semisimple Lie groups Trans. Amer. Math. Soc. 289 1985 185-202
-
(1985)
Trans. Amer. Math. Soc.
, vol.289
, pp. 185-202
-
-
Dooley, A.1
Rice, J.W.2
-
14
-
-
0000947451
-
Spherical functions on a real semisimple Lie group. A method of reduction to the complex case
-
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
-
(1978)
J. Funct. Anal.
, vol.30
, pp. 106-146
-
-
Flensted-Jensen, M.1
-
16
-
-
0000648317
-
A remark on the Dunkl differential-difference operators
-
Harmonic Analysis on Reductive Groups (Brunswick, ME, 1989) Birkhäuser Boston Boston, MA
-
G.J. Heckman A remark on the Dunkl differential-difference operators in: Harmonic Analysis on Reductive Groups (Brunswick, ME, 1989) in: Progr. Math. vol. 102 1991 Birkhäuser Boston Boston, MA 181-191
-
(1991)
Progr. Math.
, vol.102
, pp. 181-191
-
-
Heckman, G.J.1
-
17
-
-
0004209476
-
Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains
-
Providence, RI: Amer. Math. Soc
-
L.K. Hua Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains 1963 Amer. Math. Soc. Providence, RI
-
(1963)
-
-
Hua, L.K.1
-
18
-
-
84966253604
-
Representations of semisimple Lie groups, III
-
Harish-Chandra Representations of semisimple Lie groups, III Trans. Amer. Math. Soc. 76 1954 234-253
-
(1954)
Trans. Amer. Math. Soc.
, vol.76
, pp. 234-253
-
-
Harish-Chandra1
-
19
-
-
0000294990
-
Spherical functions on a semisimple Lie groups. I and II
-
Harish-Chandra Spherical functions on a semisimple Lie groups. I and II Amer. J. Math. 80 1958 241-310
-
(1958)
Amer. J. Math.
, vol.80
, pp. 241-310
-
-
Harish-Chandra1
-
20
-
-
0010604826
-
A formula for semisimple Lie groups
-
Harish-Chandra A formula for semisimple Lie groups Amer. J. Math. 79 1957 733-760
-
(1957)
Amer. J. Math.
, vol.79
, pp. 733-760
-
-
Harish-Chandra1
-
22
-
-
38249012330
-
The flat horocycle transform for a symmetric space
-
S. Helgason The flat horocycle transform for a symmetric space Adv. Math. 91 1992 232-251
-
(1992)
Adv. Math.
, vol.91
, pp. 232-251
-
-
Helgason, S.1
-
23
-
-
0141884566
-
A duality for symmetric spaces with applications to group representations. III. Tangent space analysis
-
S. Helgason A duality for symmetric spaces with applications to group representations. III. Tangent space analysis Adv. Math. 36 1980 297-323
-
(1980)
Adv. Math.
, vol.36
, pp. 297-323
-
-
Helgason, S.1
-
24
-
-
5644237080
-
Spherical functions and invariant differential operators on complex Grassmann manifolds
-
B. Hoogenboom Spherical functions and invariant differential operators on complex Grassmann manifolds Ark. Mat. 20 1982 69-85
-
(1982)
Ark. Mat.
, vol.20
, pp. 69-85
-
-
Hoogenboom, B.1
-
25
-
-
0000339482
-
On the contraction of groups and their representations
-
E. Inonu E.P. Wigner On the contraction of groups and their representations Proc. Nat. Acad. Sci. USA 39 1953 510-524
-
(1953)
Proc. Nat. Acad. Sci. USA
, vol.39
, pp. 510-524
-
-
Inonu, E.1
Wigner, E.P.2
-
26
-
-
0001679795
-
Zonal polynomials of the real positive definite symmetric matrices
-
A.J. James Zonal polynomials of the real positive definite symmetric matrices Ann. of Math. 75 1961 456-469
-
(1961)
Ann. of Math.
, vol.75
, pp. 456-469
-
-
James, A.J.1
-
27
-
-
0000945341
-
The Dunkl transform
-
M.F.E. de Jeu The Dunkl transform Invent. Math. 113 1993 147-162
-
(1993)
Invent. Math.
, vol.113
, pp. 147-162
-
-
de Jeu, M.F.E.1
-
28
-
-
0004082227
-
Dunkl operators
-
Thesis, Leiden University
-
M.F.E. de Jeu, Dunkl operators, Thesis, Leiden University, 1994
-
(1994)
-
-
de Jeu, M.F.E.1
-
29
-
-
0000130099
-
Difference equations and symmetric polynomials defined by their zeros
-
F. Knop S. Sahi Difference equations and symmetric polynomials defined by their zeros Internat. Math. Res. Notes 10 1996 437-486
-
(1996)
Internat. Math. Res. Notes
, vol.10
, pp. 437-486
-
-
Knop, F.1
Sahi, S.2
-
30
-
-
0001230276
-
Classes de Chern d'un produit tensoriel
-
A. Lascoux Classes de Chern d'un produit tensoriel C. R. Acad. Sci. Paris Sér. A 286 1978 385-387
-
(1978)
C. R. Acad. Sci. Paris Sér. A
, vol.286
, pp. 385-387
-
-
Lascoux, A.1
-
32
-
-
0038970702
-
The inverse Abel transform for SU(p,q)
-
C. Meaney The inverse Abel transform for SU(p,q) Ark. Mat. 24 1985 131-140
-
(1985)
Ark. Mat.
, vol.24
, pp. 131-140
-
-
Meaney, C.1
-
33
-
-
0038839972
-
(Shifted) Macdonald polynomials: Q-integral representation and combinatorial formula
-
A. Okounkov (Shifted) Macdonald polynomials: Q-integral representation and combinatorial formula Compositio Math. 112 1998 147-182
-
(1998)
Compositio Math.
, vol.112
, pp. 147-182
-
-
Okounkov, A.1
-
34
-
-
1842788768
-
Asymptotics of Jack polynomials as the number of variables goes to infinity
-
A. Okounkov G. Olshanski Asymptotics of Jack polynomials as the number of variables goes to infinity Internat. Math. Res. Notes 13 1998 641-682
-
(1998)
Internat. Math. Res. Notes
, vol.13
, pp. 641-682
-
-
Okounkov, A.1
Olshanski, G.2
-
35
-
-
0000236195
-
Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
-
R.L. Dobrushin R.A. Minlos M.A. Shubin A.M. Vershik (Eds.), Contemporary Mathematical Physics Amer. Math. Soc. Providence, RI
-
G. Olshanski A. Vershik Ergodic unitarily invariant measures on the space of infinite Hermitian matrices in: R.L. Dobrushin R.A. Minlos M.A. Shubin A.M. Vershik (Eds.), Contemporary Mathematical Physics Amer. Math. Soc. Transl. Ser. 2 vol. 175 1996 in: Amer. Math. Soc. Providence, RI 137-175
-
(1996)
Amer. Math. Soc. Transl. Ser. 2
, vol.175
, pp. 137-175
-
-
Olshanski, G.1
Vershik, A.2
-
36
-
-
0000221732
-
Weyl quantization and tensor products of Fock and Bergmanspaces
-
B. Ørsted G. Zhang Weyl quantization and tensor products of Fock and Bergmanspaces Indiana Univ. Math. J. 43 1994 551-583
-
(1994)
Indiana Univ. Math. J.
, vol.43
, pp. 551-583
-
-
Ørsted, B.1
Zhang, G.2
-
37
-
-
0000775503
-
Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
-
E.M. Opdam Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group Compositio Math. 85 1993 333-373
-
(1993)
Compositio Math.
, vol.85
, pp. 333-373
-
-
Opdam, E.M.1
-
38
-
-
0002587995
-
Completely integrable Hamiltonian systems connected with semisimple Lie algebras
-
M.A. Olshanetsky A.M. Perelomov Completely integrable Hamiltonian systems connected with semisimple Lie algebras Invent. Math. 37 1976 93-108
-
(1976)
Invent. Math.
, vol.37
, pp. 93-108
-
-
Olshanetsky, M.A.1
Perelomov, A.M.2
-
39
-
-
0038707723
-
Generalized Hermite polynomials and the Heat equation for Dunkl operators
-
M. Rösler Generalized Hermite polynomials and the Heat equation for Dunkl operators Comm. Math. Phys. 192 1998 519-542
-
(1998)
Comm. Math. Phys.
, vol.192
, pp. 519-542
-
-
Rösler, M.1
-
40
-
-
24144477073
-
Dunkl operators: Theory and applications
-
E. Koelink W. van Assche (Eds.), Orthogonal Polynomials and Special Functions Springer-Verlag Berlin/New York
-
M. Rösler Dunkl operators: Theory and applications in: E. Koelink W. van Assche (Eds.), Orthogonal Polynomials and Special Functions in: Lecture Notes in Math. vol. 1817 2003 Springer-Verlag Berlin/New York 93-136
-
(2003)
Lecture Notes in Math.
, vol.1817
, pp. 93-136
-
-
Rösler, M.1
-
41
-
-
21944445922
-
Spherical functions on symmetric cones
-
P. Sawyer Spherical functions on symmetric cones Trans. Amer. Math. Soc. 349 1997 3569-3584
-
(1997)
Trans. Amer. Math. Soc.
, vol.349
, pp. 3569-3584
-
-
Sawyer, P.1
-
42
-
-
1642285195
-
Generalized discriminants, deformed quantum Calogero-Moser systems, and Jack polynomials
-
math-ph/0307036 version 2
-
A.N. Sergeev A.P. Veselov Generalized discriminants, deformed quantum Calogero-Moser systems, and Jack polynomials math-ph/0307036 version 2
-
-
-
Sergeev, A.N.1
Veselov, A.P.2
-
43
-
-
45249131043
-
Some combinatorial properties of Jack functions
-
R.P. Stanley Some combinatorial properties of Jack functions Adv. Math. 77 1989 76-115
-
(1989)
Adv. Math.
, vol.77
, pp. 76-115
-
-
Stanley, R.P.1
-
44
-
-
84968518208
-
Mean convergence of Fourier series on compact Lie groups
-
R.J. Stanton Mean convergence of Fourier series on compact Lie groups Trans. Amer. Math. Soc. 218 1976 61-87
-
(1976)
Trans. Amer. Math. Soc.
, vol.218
, pp. 61-87
-
-
Stanton, R.J.1
-
45
-
-
0030521096
-
On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2
-
F. Zhu On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2 Math. Ann. 305 1996 617-637
-
(1996)
Math. Ann.
, vol.305
, pp. 617-637
-
-
Zhu, F.1
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