We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $mathcal S$ and in the space ${mathcal S}_omega$ as introduced by Björck for weight functions $omega$. Several examples are discussed in this new setting.

Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms

BOITI, Chiara;Oliaro, Alessandro
2017

Abstract

We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space $mathcal S$ and in the space ${mathcal S}_omega$ as introduced by Björck for weight functions $omega$. Several examples are discussed in this new setting.
2017
Boiti, Chiara; Jornet, David; Oliaro, Alessandro
File in questo prodotto:
File Dimensione Formato  
BJO-JMAA.pdf

solo gestori archivio

Descrizione: Full text editoriale
Tipologia: Full text (versione editoriale)
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 505.27 kB
Formato Adobe PDF
505.27 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Boiti_Jornet_Oliaro Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms-2017-vA.pdf

accesso aperto

Descrizione: Pre print
Tipologia: Pre-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 487.73 kB
Formato Adobe PDF
487.73 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2349753
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 12
social impact