Dimension of the space of unitary equivariant translation invariant tensor valuations

K. J. Böröczky; M. Domokos; G. Solanes

doi:10.1016/j.jfa.2020.108862

Dimension of the space of unitary equivariant translation invariant tensor valuations

K. J. Böröczky^*, M. Domokos, G. Solanes

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

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2 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Número d’article	108862
Nombre de pàgines	18
Revista	Journal of Functional Analysis
Volum	280
Número	4
DOIs	https://doi.org/10.1016/j.jfa.2020.108862
Estat de la publicació	Publicada - 15 de febr. 2021

Accés al document

10.1016/j.jfa.2020.108862

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Link to publication in Scopus

Invariantes locales y globales en geometria
Solanes Farres, G. (Investigador/a principal), Balacheff , F. N. (Co-Investigador/a Principal), Rubio Nuñez, R. (Col.laborador/a), Gallego Gomez, E. (Investigador/a), Heusener, M. (Investigador/a), Marin Perez, D. (Investigador/a), Meersseman, L. (Investigador/a), Nicolau Reig, M. (Investigador/a), Porti Pique, J. (Investigador/a), Reventos Tarrida, A. (Investigador/a) & Mijares i Verdú, S. (Col.laborador/a)
Ministerio de Ciencia e Innovación (MICINN), Fons Europeu de Desenvolupament Regional (FEDER)
1/01/19 → 30/09/22
Projecte: Projectes i Ajuts a la Recerca

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title = "Dimension of the space of unitary equivariant translation invariant tensor valuations",

abstract = "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.",

keywords = "Tensor valuations on convex bodies, Unitary group",

author = "B{\"o}r{\"o}czky, \{K. J.\} and M. Domokos and G. Solanes",

note = "Funding Information: The first two authors were partially supported by National Research Development and Innovation Office , NKFIH K 119934 , K 132002 , KH 129630 , ANN 121649 . The third author was partially supported by FEDER-MINECO grant PGC2018-095998-B-I00 , and the Serra H{\'u}nter Programme . Publisher Copyright: {\textcopyright} 2020 The Author(s)",

year = "2021",

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doi = "10.1016/j.jfa.2020.108862",

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T1 - Dimension of the space of unitary equivariant translation invariant tensor valuations

AU - Böröczky, K. J.

AU - Domokos, M.

AU - Solanes, G.

N1 - Funding Information: The first two authors were partially supported by National Research Development and Innovation Office , NKFIH K 119934 , K 132002 , KH 129630 , ANN 121649 . The third author was partially supported by FEDER-MINECO grant PGC2018-095998-B-I00 , and the Serra Húnter Programme . Publisher Copyright: © 2020 The Author(s)

PY - 2021/2/15

Y1 - 2021/2/15

N2 - 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.

AB - 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.

KW - Tensor valuations on convex bodies

KW - Unitary group

UR - https://www.scopus.com/pages/publications/85106854067

U2 - 10.1016/j.jfa.2020.108862

DO - 10.1016/j.jfa.2020.108862

M3 - Article

AN - SCOPUS:85106854067

SN - 0022-1236

VL - 280

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 4

M1 - 108862

ER -

Dimension of the space of unitary equivariant translation invariant tensor valuations

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Altres arxius i enllaços

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Invariantes locales y globales en geometria

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