Uncertainty principles for orthonormal bases
type: Dataset
description: In this survey, we present various forms of the uncertainty principle (Hardy, Heisenberg, Benedicks). We further give a new interpretation of the uncertainty principles as a statement about the time-frequency localization of elements of an orthonormal basis, which improves previous unpublished results of H. Shapiro. Finally, we show that Benedicks' result implies that solutions of the Shrödinger equation have some (appearently unnoticed) energy dissipation property.
issued: 2026-05-12T04:15:14.941231
language: en
modified: 2026-05-12T04:15:14.941237
contact point: Organization
  fn: CCSD
keyword: 42b10
keyword: conference-papers
keyword: infoeu-reposemanticsconferenceobject
keyword: mathmath-camathematics-mathclassical-analysis-and-odes-mathca
keyword: orthonormal-bases
keyword: uncertainty-principles
landing page: Seminaire d'equations aux derivees partielles

Uncertainty principles for orthonormal bases
type: Distribution
format: HTML
issued: 2026-05-12T04:15:14.971067
modified: 2026-05-12T04:15:14.930037
access URL: https://hal.science/hal-00080458

test_moissonnage_selune
type: Agent