Müntz-Szasz theorems for nilpotent Lie groups

DOI10.1006/jfan.1998.3272zbMath0915.22005OpenAlexW2045557587MaRDI QIDQ1268067

Darwyn C. Cook

Publication date: 5 July 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3272

zbMATH Keywords

Fourier transformunitary representationsnilpotent Lie groupsorbit methodMüntz-Szasz theorem

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items

Variants of Müntz-Szàsz analogs for Euclidean spin groups ⋮ Nonlinear oblique projections ⋮ Müntz-Szàsz analogues for compact extensions of Heisenberg groups ⋮ Unnamed Item ⋮ Perturbations in Müntz's theorem ⋮ Beurling's theorem for nilpotent Lie groups ⋮ Characterizations of symmetric distributions using equi-distributions and moment properties of functions of order statistics

Cites Work

• A Paley-Wiener theorem for all two- and three-step nilpotent Lie groups
• A Paley-Wiener theorem for selected nilpotent Lie groups
• Müntz spaces and Remez inequalities
• Uniform convergence and decay of Fourier series on compact nilmanifolds
• The behavior of Fourier transforms for nilpotent Lie groups
• Square Integrable Representations of Nilpotent Groups
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