Müntz-Szàsz analogues for compact extensions of Heisenberg groups

DOI10.1007/S12044-021-00617-8zbMath1494.22006OpenAlexW3203455922MaRDI QIDQ2666008

Sabria Ben Ayed, Ali Baklouti

Publication date: 22 November 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00617-8

zbMATH Keywords

Fourier transformrepresentationHeisenberg groupscompact extensionMüntz-Szàsz theorem

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25)

Related Items (1)

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Cites Work

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• Variants of Müntz-Szàsz analogs for Euclidean spin groups
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Müntz-Szasz theorems for nilpotent Lie groups
• Harmonic analysis on the Heisenberg group
• Revisiting the Fourier transform on the Heisenberg group
• Structure and Geometry of Lie Groups
• Muntz type Theorems I
• Harmonic Analysis in Phase Space. (AM-122)
• The Full Müntz Theorem in C [0, 1 and L ₁ [0, 1]]
• The plancherel formula for group extensions
• The plancherel formula for group extensions II
• The ``full Müntz theorem in \(L_p[0,1\) for \(0<p<\infty\).]

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