In this paper we study boundedness properties of the short-time Fourier transform (STFT) on the Lorentz spaces $L^{p,q}(\mathbb R^d)$. The same results apply to the cases of the Wigner and $\tau$-Wigner transforms. Reinterpreting these results in terms of operators we obtain boundedness properties for Weyl and $\tau$-Weyl operators. We conclude with an application to the uncertainty principle of Donoho-Stark in the context of Lorentz spaces.
Time-frequency representations on Lorentz spaces
Paolo Boggiatto;Alessandro Oliaro;
2025-01-01
Abstract
In this paper we study boundedness properties of the short-time Fourier transform (STFT) on the Lorentz spaces $L^{p,q}(\mathbb R^d)$. The same results apply to the cases of the Wigner and $\tau$-Wigner transforms. Reinterpreting these results in terms of operators we obtain boundedness properties for Weyl and $\tau$-Weyl operators. We conclude with an application to the uncertainty principle of Donoho-Stark in the context of Lorentz spaces.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Articolo scaricato dal sito della rivista.pdf
Accesso aperto
Descrizione: Open access published version
Tipo di file:
PDF EDITORIALE
Dimensione
651.73 kB
Formato
Adobe PDF
|
651.73 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
