Archivio Istituzionale della RicercaWe consider the subgroup G of SL(2, ℝ) consisting of shearing and dilations, and we study the decay at infinity of the matrix coefficients of the metaplectic representation restricted to G. We prove weak-type estimates for such coefficients, which are uniform for functions in the modulation space M 1 . This work represents a continuation of a project aiming at studying weak-type and Strichartz estimates for unitary representations of non-compact Lie groups.
Weak-Type estimates for the metaplectic representation restricted to the shearing and Dilation subgroup of SL(2, ℝ) / Cauli, A. (APPLIED AND NUMERICAL HARMONIC ANALYSIS). - In: Landscapes of time-frequency analysis[s.l] : Springer International Publishing, 2019. - ISBN 978-3-030-05209-6. - pp. 59-73 [10.1007/978-3-030-05210-2_3]
Weak-Type estimates for the metaplectic representation restricted to the shearing and Dilation subgroup of SL(2, ℝ)
Cauli A.
2019
Abstract
We consider the subgroup G of SL(2, ℝ) consisting of shearing and dilations, and we study the decay at infinity of the matrix coefficients of the metaplectic representation restricted to G. We prove weak-type estimates for such coefficients, which are uniform for functions in the modulation space M 1 . This work represents a continuation of a project aiming at studying weak-type and Strichartz estimates for unitary representations of non-compact Lie groups.
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https://hdl.handle.net/11583/2807552