Variations on a theorem of Cowling and Price with applications to nilpotent Lie groups

DOI10.1017/S1446788700017444zbMath1120.43002OpenAlexW1988457686WikidataQ115335577 ScholiaQ115335577MaRDI QIDQ3435401

Sanjay Parui, Sundaram Thangavelu

Publication date: 26 April 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.austms.org.au/Publ/JAustMS/V82P1/contents.html

zbMATH Keywords

Fourier transformHeisenberg groupnilpotent Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (5)

The norm of the Fourier transform on compact or discrete abelian groups ⋮ Roe–Strichartz theorem on two‐step nilpotent Lie groups^a ⋮ A heat kernel version of Cowling-Price theorem for the Laguerre hypergroup ⋮ VARIANTS OF MIYACHI’S THEOREM FOR NILPOTENT LIE GROUPS ⋮ A variant of Hardy's and Miyachi's theorems for the Bessel–Struve transform

Cites Work

• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• Harmonic analysis on the Heisenberg group
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Revisiting Hardy's theorem for the Heisenberg group
• Uncertainty principles on certain Lie groups
• On Paley-Wiener theorems for the Heisenberg group
• Applications of Representation Theory to Harmonic Analysis of Lie Groups (and Vice Versa)
• Hardy's Uncertainty Principle on Certain Lie Groups
• A Generalization of the Theorem of Hardy: A Most General Version of the Uncertainty Principle for Fourier Integrals
• A Theorem Concerning Fourier Transforms
• The Lp –Lq version of Hardy's Theorem on nilpotent Lie groups

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