An analogue of Pfannschmidt's theorem for the Heisenberg group

DOI10.1007/S41478-018-0147-9zbMath1403.43003OpenAlexW2900748510MaRDI QIDQ1628481

Sundaram Thangavelu

Publication date: 4 December 2018

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

Full work available at URL: https://doi.org/10.1007/s41478-018-0147-9

zbMATH Keywords

Fourier transformHeisenberg groupHermite functionsHardy's theoremGutzmer's formula

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (1)

An analogue of Ingham's theorem on the Heisenberg group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the structure of analytic vectors for the Schrödinger representation
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• A Generalization of the Theorem of Hardy: A Most General Version of the Uncertainty Principle for Fourier Integrals
• An analogue of Gutzmer's formula for Hermite expansions

This page was built for publication: An analogue of Pfannschmidt's theorem for the Heisenberg group