首页
学术期刊
论文检测
AIGC检测
热点
更多
数据
Harmonic analysis on the infinite-dimensional unitary-symplectic group
被引:0
|
作者
:
Osinenko A.
论文数:
0
引用数:
0
h-index:
0
机构:
Moscow State University, Moscow
Moscow State University, Moscow
Osinenko A.
[
1
]
机构
:
[1]
Moscow State University, Moscow
来源
:
Journal of Mathematical Sciences
|
2013年
/ 190卷
/ 3期
关键词
:
Harmonic Analysis;
Unitary Representation;
Complex Parameter;
Regular Representation;
D O I
:
10.1007/s10958-013-1264-2
中图分类号
:
学科分类号
:
摘要
:
The goal of harmonic analysis on the infinite-dimensional unitary-symplectic group is to decompose a certain family of unitary representations of this group that replace the nonexisting regular representation and depend on a complex parameter. The aim of the present paper is to describe the decomposition for an interger parameter. Bibliography: 8 titles. © 2013 Springer Science+Business Media New York.
引用
收藏
页码:472 / 485
页数:13
相关论文
共 50 条
[21]
On approximating the symplectic spectrum of infinite-dimensional operators
Kumar, V. B. Kiran
论文数:
0
引用数:
0
h-index:
0
机构:
Cochin Univ Sci & Technol, Dept Math, Kochi 682022, India
Cochin Univ Sci & Technol, Dept Math, Kochi 682022, India
Kumar, V. B. Kiran
Tonny, Anmary
论文数:
0
引用数:
0
h-index:
0
机构:
Cochin Univ Sci & Technol, Dept Math, Kochi 682022, India
Cochin Univ Sci & Technol, Dept Math, Kochi 682022, India
Tonny, Anmary
JOURNAL OF MATHEMATICAL PHYSICS,
2024,
65
(04)
[22]
Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group
Lopushansky, Oleh
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
Lopushansky, Oleh
ABSTRACT AND APPLIED ANALYSIS,
2013,
[23]
AN INFINITE-DIMENSIONAL METAPLECTIC GROUP
ROBINSON, PL
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, University of Florida, Gainesville
ROBINSON, PL
QUARTERLY JOURNAL OF MATHEMATICS,
1992,
43
(170):
: 243
-
252
[24]
INFINITE-DIMENSIONAL GROUP REPRESENTATIONS
MACKEY, GW
论文数:
0
引用数:
0
h-index:
0
MACKEY, GW
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,
1963,
69
(05)
: 628
-
&
[25]
CRITICAL EXPONENTS FROM INFINITE-DIMENSIONAL SYMPLECTIC ALGEBRAS
ALTSCHULER, D
论文数:
0
引用数:
0
h-index:
0
ALTSCHULER, D
PHYSICS LETTERS B,
1985,
163
(1-4)
: 193
-
197
[26]
Irreducible decompositions of unitary representations of infinite-dimensional groups
Shimomura, H
论文数:
0
引用数:
0
h-index:
0
机构:
Kochi Univ, Fac Educ, Dept Math, Kochi 7808520, Japan
Kochi Univ, Fac Educ, Dept Math, Kochi 7808520, Japan
Shimomura, H
MATHEMATISCHE ZEITSCHRIFT,
2005,
251
(03)
: 575
-
587
[27]
ON THE FIRST ORDER COHOMOLOGY OF INFINITE-DIMENSIONAL UNITARY GROUPS
Herbst, Manuel
论文数:
0
引用数:
0
h-index:
0
机构:
FAU Erlangen Nuernberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
FAU Erlangen Nuernberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
Herbst, Manuel
Neeb, Karl-Hermann
论文数:
0
引用数:
0
h-index:
0
机构:
FAU Erlangen Nuernberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
FAU Erlangen Nuernberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany
Neeb, Karl-Hermann
ANNALES DE L INSTITUT FOURIER,
2018,
68
(05)
: 2149
-
2176
[28]
Projective unitary representations of infinite-dimensional Lie groups
Janssens, Bas
论文数:
0
引用数:
0
h-index:
0
机构:
Delft Univ Technol, DIAM, NL-2628 XE Delft, Netherlands
Delft Univ Technol, DIAM, NL-2628 XE Delft, Netherlands
Janssens, Bas
Neeb, Karl-Hermann
论文数:
0
引用数:
0
h-index:
0
机构:
Friedrich Alexander Univ FAU Erlangen Nurnberg, Dept Math, D-91058 Erlangen, Germany
Delft Univ Technol, DIAM, NL-2628 XE Delft, Netherlands
Neeb, Karl-Hermann
KYOTO JOURNAL OF MATHEMATICS,
2019,
59
(02)
: 293
-
341
[29]
Integrating unitary representations of infinite-dimensional Lie groups
Laredo, VT
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 06, Inst Math Jussieu, UMR 7586, F-75252 Paris 05, France
Univ Paris 06, Inst Math Jussieu, UMR 7586, F-75252 Paris 05, France
Laredo, VT
JOURNAL OF FUNCTIONAL ANALYSIS,
1999,
161
(02)
: 478
-
508
[30]
REPRESENTATION OF AN INFINITE DIMENSIONAL UNITARY GROUP
KIRILLOV, AA
论文数:
0
引用数:
0
h-index:
0
机构:
MV LOMONOSOV STATE UNIV,MOSCOW,USSR
MV LOMONOSOV STATE UNIV,MOSCOW,USSR
KIRILLOV, AA
DOKLADY AKADEMII NAUK SSSR,
1973,
212
(02):
: 288
-
290
←
1
2
3
4
5
→