Paley-Wiener type theorem for the Heisenberg groups

DOI10.3792/pja/1195518265zbMath0375.43004OpenAlexW1983050993MaRDI QIDQ4155279

Shoichi Ando

Publication date: 1976

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518265

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80) Induced representations for locally compact groups (22D30)

Related Items (2)

Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ The behavior of Fourier transforms for nilpotent Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Ein Analogon des Paley-Wienerschen Satzes für die Gruppe der linearen Transformationen einer Geraden
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

This page was built for publication: Paley-Wiener type theorem for the Heisenberg groups