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EnglishWe 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.
| Titolo: | Weak-Type estimates for the metaplectic representation restricted to the shearing and Dilation subgroup of SL(2, ℝ) |
| Autori: | |
| Data di pubblicazione: | 2019 |
| Titolo del libro: | Applied and Numerical Harmonic Analysis |
| Serie: | |
| Abstract: | We consider the subgroup G of SL(2, ℝ) consisting of shearing and dilations, and we study the dec...ay 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. |
| ISBN: | 978-3-030-05209-6 978-3-030-05210-2 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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