\(\phi (L)\)-factorable operators on \(L^p(G)\) for a locally compact abelian group

DOI10.1007/s41980-021-00537-3zbMath1497.43002OpenAlexW3144289625MaRDI QIDQ2119316

Fatemeh Esmaeelzadeh, Fatemeh Roohi Afrapoli, Rajab Ali Kamyabi-Gol

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00537-3

zbMATH Keywords

Riesz representation theoremlocally compact abelian group\((\phi (L), p)\)-bracket product\(\phi (L)\)-factorable operator\(\phi (L)\)-orthogonality

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

• \(\varphi\)-factorable operators and Weyl-Heisenberg frames on LCA groups
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift invariant spaces on a locally compact abelian group
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• Principles of harmonic analysis
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