Representations Connected with Dixmier Traces and Spaces of Distributions

被引：0

作者：

R. S. Ismagilov

机构：

[1] Bauman Moscow State University,Department of Applied Mathematics

来源：

Acta Applicandae Mathematica | 2004年 / 81卷

关键词：

abstract harmonical analysis; representations of groups; semigroups; Dixmier traces; spaces of distributions; representations;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we first construct Hilbert spaces related to Dixmier traces. The group representations in these spaces are considered; we refer to authors paper for a detailed exposition of this theme. We show then that this construction is closely related to the representations in the spaces of distributions on a manifold.

引用

页码：121 / 127

页数：6

共 50 条

[41] NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS
Gimperlein, Heiko
Goffeng, Magnus
[J]. FORUM OF MATHEMATICS SIGMA, 2017, 5
[42] Representations of twisted spaces on a connected reductive p-adic group
Lemaire, B.
Henniart, G.
[J]. ASTERISQUE, 2017, (386) : III - +
[43] NIKOLSKII-BESOV SPACES CONNECTED WITH REPRESENTATIONS OF LIE-GROUPS
PESENSON, IZ
[J]. DOKLADY AKADEMII NAUK SSSR, 1983, 273 (01): : 45 - 49
[44] ON SUBGROUPS OF THE DIXMIER GROUP AND CALOGERO-MOSER SPACES
Berest, Yuri
Eshmatov, Alimjon
Eshmatov, Farkhod
[J]. ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2011, 18 : 12 - 21
[45] DIXMIER AREA OF HANKEL OPERATORS ON THE BERGMAN SPACES BY WEIGHT
Tytgat, Romaric
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2015, 65 (02) : 399 - 426
[46] A Dixmier's theorem for finite type representations of amenable semigroups
Fack, T
[J]. MATHEMATICA SCANDINAVICA, 2003, 93 (01) : 136 - 160
[47] DIXMIER J - LES C'-ALGEBRES ET LEURS REPRESENTATIONS
ABRAHAMS.B
[J]. CANADIAN MATHEMATICAL BULLETIN, 1966, 9 (02): : 246 - &
[48] On traces of tensor representations of diagrams
Schrijver, Alexander
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 476 : 28 - 41
[49] Characterizations of gaussian distributions on simply connected nilpotent Lie groups and symmetric spaces
Neuenschwander, D
Roynette, B
Schott, R
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 324 (01): : 87 - 92
[50] SEQUENCE SPACE REPRESENTATIONS FOR SPACES OF SMOOTH FUNCTIONS AND DISTRIBUTIONS VIA WILSON BASES
Bargetz, C.
Debrouwere, A.
Nigsch, E. A.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 150 (09) : 3841 - 3852

← 1 2 3 4 5 →