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Homogeneous vector bundles and intertwining operators for symmetric domains
被引:8
作者
:
论文数:
引用数:
h-index:
机构:
Misra, Gadadhar
[
1
]
Upmeier, Harald
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Marburg, Dept Math, D-35032 Marburg, Germany
Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
Upmeier, Harald
[
2
]
机构
:
[1]
Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
[2]
Univ Marburg, Dept Math, D-35032 Marburg, Germany
来源
:
ADVANCES IN MATHEMATICS
|
2016年
/ 303卷
关键词
:
The Bergman operator;
The Jordan triple product;
Co-variant kernel;
Homogeneous operator;
Holomorphic Hermitian;
homogeneous vector bundles;
Intertwining operator;
Irreducible action;
Wallach set;
COWEN-DOUGLAS CLASS;
MULTIPLICATION OPERATORS;
HOLOMORPHIC-FUNCTIONS;
SPACES;
REPRESENTATIONS;
ALGEBRAS;
KERNELS;
SERIES;
D O I
:
10.1016/j.aim.2016.08.036
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
The main features of homogeneous Cowen-Douglas operators, well-known for the unit disk, are generalised to the setting of hermitian bounded symmetric domains of arbitrary rank. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:1077 / 1121
页数:45
相关论文
共 21 条
[1]
Homogeneous multiplication operators on bounded symmetric domains
Arazy, J
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0
引用数:
0
h-index:
0
机构:
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Arazy, J
Zhang, GK
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0
引用数:
0
h-index:
0
机构:
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Zhang, GK
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2003,
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66
[2]
Homogeneous tuples of multiplication operators on twisted Bergman spaces
Bagchi, B
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0
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0
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0
机构:
Statistics and Mathematics Unit, Indian Statistical Institute, R. V. College Post
Bagchi, B
Misra, G
论文数:
0
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0
h-index:
0
机构:
Statistics and Mathematics Unit, Indian Statistical Institute, R. V. College Post
Misra, G
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
1996,
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COMPLEX GEOMETRY AND OPERATOR THEORY
COWEN, MJ
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COWEN, MJ
DOUGLAS, RG
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DOUGLAS, RG
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ACTA MATHEMATICA,
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EQUIVALENCE OF CONNECTIONS
COWEN, MJ
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机构:
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
COWEN, MJ
DOUGLAS, RG
论文数:
0
引用数:
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h-index:
0
机构:
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
DOUGLAS, RG
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GENERALIZED BERGMAN KERNELS AND THE COWEN-DOUGLAS THEORY
CURTO, RE
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引用数:
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h-index:
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机构:
UNIV KANSAS,LAWRENCE,KS 66045
UNIV KANSAS,LAWRENCE,KS 66045
CURTO, RE
SALINAS, N
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0
引用数:
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h-index:
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机构:
UNIV KANSAS,LAWRENCE,KS 66045
UNIV KANSAS,LAWRENCE,KS 66045
SALINAS, N
[J].
AMERICAN JOURNAL OF MATHEMATICS,
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Enright T., 1983, PROGR MATH
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FUNCTION-SPACES AND REPRODUCING KERNELS ON BOUNDED SYMMETRIC DOMAINS
FARAUT, J
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
FARAUT, J
KORANYI, A
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
KORANYI, A
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
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Faraut J., 1994, Oxford Mathematical Monographs
[9]
HERMITIAN SYMMETRIC-SPACES AND THEIR UNITARY HIGHEST WEIGHT MODULES
JAKOBSEN, HP
论文数:
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引用数:
0
h-index:
0
JAKOBSEN, HP
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
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[10]
Homogeneous operators on Hilbert spaces of holomorphic functions
Koranyi, Adam
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY Herbert H Lehman Coll, Bronx, NY 10468 USA
Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
Koranyi, Adam
论文数:
引用数:
h-index:
机构:
Misra, Gadadhar
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2008,
254
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: 2419
-
2436
←
1
2
3
→
共 21 条
[1]
Homogeneous multiplication operators on bounded symmetric domains
Arazy, J
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Arazy, J
Zhang, GK
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Haifa, Dept Math, IL-31905 Haifa, Israel
Zhang, GK
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2003,
202
(01)
: 44
-
66
[2]
Homogeneous tuples of multiplication operators on twisted Bergman spaces
Bagchi, B
论文数:
0
引用数:
0
h-index:
0
机构:
Statistics and Mathematics Unit, Indian Statistical Institute, R. V. College Post
Bagchi, B
Misra, G
论文数:
0
引用数:
0
h-index:
0
机构:
Statistics and Mathematics Unit, Indian Statistical Institute, R. V. College Post
Misra, G
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
1996,
136
(01)
: 171
-
213
[3]
COMPLEX GEOMETRY AND OPERATOR THEORY
COWEN, MJ
论文数:
0
引用数:
0
h-index:
0
COWEN, MJ
DOUGLAS, RG
论文数:
0
引用数:
0
h-index:
0
DOUGLAS, RG
[J].
ACTA MATHEMATICA,
1978,
141
(3-4)
: 187
-
261
[4]
EQUIVALENCE OF CONNECTIONS
COWEN, MJ
论文数:
0
引用数:
0
h-index:
0
机构:
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
COWEN, MJ
DOUGLAS, RG
论文数:
0
引用数:
0
h-index:
0
机构:
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794
DOUGLAS, RG
[J].
ADVANCES IN MATHEMATICS,
1985,
56
(01)
: 39
-
91
[5]
GENERALIZED BERGMAN KERNELS AND THE COWEN-DOUGLAS THEORY
CURTO, RE
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KANSAS,LAWRENCE,KS 66045
UNIV KANSAS,LAWRENCE,KS 66045
CURTO, RE
SALINAS, N
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KANSAS,LAWRENCE,KS 66045
UNIV KANSAS,LAWRENCE,KS 66045
SALINAS, N
[J].
AMERICAN JOURNAL OF MATHEMATICS,
1984,
106
(02)
: 447
-
488
[6]
Enright T., 1983, PROGR MATH
[7]
FUNCTION-SPACES AND REPRODUCING KERNELS ON BOUNDED SYMMETRIC DOMAINS
FARAUT, J
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
FARAUT, J
KORANYI, A
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
CUNY HERBERT H LEHMAN COLL,DEPT MATH,BRONX,NY 10468
KORANYI, A
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
1990,
88
(01)
: 64
-
89
[8]
Faraut J., 1994, Oxford Mathematical Monographs
[9]
HERMITIAN SYMMETRIC-SPACES AND THEIR UNITARY HIGHEST WEIGHT MODULES
JAKOBSEN, HP
论文数:
0
引用数:
0
h-index:
0
JAKOBSEN, HP
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
1983,
52
(03)
: 385
-
412
[10]
Homogeneous operators on Hilbert spaces of holomorphic functions
Koranyi, Adam
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY Herbert H Lehman Coll, Bronx, NY 10468 USA
Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
Koranyi, Adam
论文数:
引用数:
h-index:
机构:
Misra, Gadadhar
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2008,
254
(09)
: 2419
-
2436
←
1
2
3
→