Translation preserving operators on locally compact abelian groups

DOI10.1007/s00009-020-01562-yOpenAlexW3039369526MaRDI QIDQ2006901

Reihaneh Raisi Tousi, M. Mortazavizadeh, Rajab Ali Kamyabi-Gol

Publication date: 12 October 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13514

zbMATH Keywords

locally compact abelian grouprange functionrange operatormultiplication preserving operatortranslation preserving operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Harmonic analysis in several variables (42B99) Locally compact abelian groups (LCA groups) (22B99)

Related Items

The structure of shift-invariant subspaces of Sobolev spaces

Cites Work

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• The structure of translation-invariant spaces on locally compact abelian groups
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• The spectral theorem
• Shift-invariant spaces on LCA groups
• The Zak transform and the structure of spaces invariant by the action of an LCA group
• The structure of shift invariant spaces on a locally compact abelian group
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• A RANGE FUNCTION APPROACH TO SHIFT-INVARIANT SPACES ON LOCALLY COMPACT ABELIAN GROUPS