Spectral synthesis in L²(G)

• Autorzy: Jean Ludwig , Carine Molitor-Braun , Sanjoy Pusti
• Języki publikacji: EN

Abstrakty

EN

For locally compact, second countable, type I groups G, we characterize all closed (two-sided) translation invariant subspaces of L²(G). We establish a similar result for K-biinvariant L²-functions (K a fixed maximal compact subgroup) in the context of semisimple Lie groups.

Kategorie tematyczne

• 22E30: Analysis on real and complex Lie groups
• 43A85: Analysis on homogeneous spaces
• 43A45: Spectral synthesis on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 1
• Strony: 89-103

Daty

wydano

2015

Twórcy

autor

Jean Ludwig

• Université de Lorraine, Institut Élie Cartan de Lorraine, UMR 7502, F-57045 Metz, France

autor

Carine Molitor-Braun

• Mathematics Research Unit, University of Luxembourg, Campus Kirchberg, 6, rue Richard Coudenhove-Kalergi, L-1359, Luxembourg

autor

Sanjoy Pusti

• Mathematics Research Unit, University of Luxembourg, Campus Kirchberg, 6, rue Richard Coudenhove-Kalergi, L-1359, Luxembourg
• Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, India 208016

Identyfikatory

DOI

10.4064/cm138-1-6