A Characterization of Metaplectic Time-Frequency Representations

Irina Shafkulovska; Karlheinz Gröchenig

A Characterization of Metaplectic Time-Frequency Representations

Irina Shafkulovska
, Karlheinz Gröchenig

Institut für Mathematik

Veröffentlichungen: Working Paper › Preprint

Abstract

We characterize all time-frequency representations that satisfy a general covariance property: any weak*-continuous bilinear mapping that intertwines time-frequency shifts on the configuration space with time-frequency shifts on phase space is a multiple of a metaplectic time-frequency representation.

Originalsprache	Englisch
Publikationsstatus	Veröffentlicht - 2025

ÖFOS 2012

101002 Analysis

1 Abgeschlossen
1 Laufend

Zeit-Frequenz Analyse, Zufälligkeit und Abtastung
Romero, J. L. (Projektleiter*in)
1/06/20 → 31/05/28
Projekt: Forschungsförderung
Innerhalb des Framesets
Faulhuber, M. (Projektleiter*in)
1/03/21 → 31/08/25
Projekt: Forschungsförderung

Zitationsweisen

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AB - We characterize all time-frequency representations that satisfy a general covariance property: any weak*-continuous bilinear mapping that intertwines time-frequency shifts on the configuration space with time-frequency shifts on phase space is a multiple of a metaplectic time-frequency representation.

M3 - Preprint

BT - A Characterization of Metaplectic Time-Frequency Representations

ER -

A Characterization of Metaplectic Time-Frequency Representations

Abstract

ÖFOS 2012

Fingerprint

Projekte

Zeit-Frequenz Analyse, Zufälligkeit und Abtastung

Innerhalb des Framesets

Zitationsweisen