Wavelet system and Muckenhoupt $\mathcal {A}_2$ condition on the Heisenberg group

DOI10.4064/cm7467-9-2018zbMath1434.42046OpenAlexW2951091961MaRDI QIDQ5237143

S. Arati, R. Radha

Publication date: 16 October 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7467-9-2018

zbMATH Keywords

Heisenberg groupSchauder basiswavelet systemMuckenhoupt \(\mathcal{A}_2\) condition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (3)

Systems of left translates and oblique duals on the Heisenberg group ⋮ Sampling theorem and reconstruction formula for the space of translates on the Heisenberg group ⋮ Shift-invariant system on the Heisenberg group

Cites Work

• Unnamed Item
• On stability of finitely generated shift-invariant systems
• Frames and Riesz bases of twisted shift-invariant spaces in \(L^2(\mathbb{R}^{2 n})\)
• Harmonic analysis on the Heisenberg group
• Frames and Riesz bases for shift invariant spaces on the abstract Heisenberg group
• Bracket map for the Heisenberg group and the characterization of cyclic subspaces
• Schauder bases of integer translates
• Gabor Schauder bases and the Balian-Low theorem
• Harmonic Analysis in Phase Space. (AM-122)
• Shift-invariant Spaces with Countably Many Mutually Orthogonal Generators on the Heisenberg group
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform

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