Dimension of the space of unitary equivariant translation invariant tensor valuations

被引：2

作者：

Boroczky, K. J. ^{[1
,2
]}

Domokos, M. ^{[1
]}

Solanes, G. ^{[3
,4
]}

机构：

[1] Alfred Renyi Inst Math, Realtanoda U 13-15, H-1053 Budapest, Hungary

[2] CEU, Nador U 9, H-1051 Budapest, Hungary

[3] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

[4] Ctr Recerca Matemat, Campus Bellaterra, Bellaterra 08193, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 280卷 / 04期

关键词：

Unitary group; Tensor valuations on convex bodies; INTEGRAL GEOMETRY; BRANCHING-RULES; CONVEX-SETS;

D O I：

10.1016/j.jfa.2020.108862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant and unitary equivariant tensor valuations are computed. In addition, a basis in the vector valued case is presented. (C) 2020 The Author(s). Published by Elsevier Inc.

引用

页数：18

共 35 条

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