On Strichartz's uncertainty inequality for the Heisenberg group

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概要

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• The aim of this article is to obtain a lower bound for the variance of a normalised $L^2$ function on the Heisenberg group under the assumption that its Fourier transform is small along a sequence of well distributed rays in the Heisenberg fan. This is achieved by proving an uncertainty inequality for Laguerre series which is analogous to the one obtained by Strichartz for spherical harmonic expansions. Applications to Hermite and special Hermite expansions are also given.

• 東北大学の論文

著者

• Smitha Chettutty

  Department Of Mathematics Calicut University

• Thangavelu Sundaram

  Statistics and Mathematics Unit, Bangalore centre, IndianStatistical Institute

• Thangavelu Sundaram

  Statistics And Mathematics Unit (smu) Indian Statistical Institute

• Thangavelu Sundaram

  Statistics And Mathematics Unit Bangalore Centre Indianstatistical Institute

関連論文

• On Strichartz's uncertainty inequality for the Heisenberg group
• On theorems of Beurling and Hardy for the Euclidean motion groups

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