Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/6403
Title: Characterization of certain differential operators in the representation of pseudo-analytic functions
Authors: Berglez, Peter
Issue Date: 1982
Publisher: Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source: Peter Berglez, "Characterization of certain differential operators in the representation of pseudo-analytic functions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 14 (1982), pp. 27-31.
Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
14 (1982)
Abstract: Per le funzioni pseudo-analitiche esistono delle rappresentazioni per mezzo di speciali operatori integrali e differenziali. Si deduce una condizione sufficiente per gli operatori differenziali usati, di modo che tutte le soluzioni della \[ w_{\overline{z}}=aw+b\overline{w} \] siano contenute in questa rappresentazione per le soluzioni.
For pseudo-analytic functions we have representations by means of special integral operators and differential operators. Here we deduce a sufficient condition on the differential operators used or all solutions of \[ w_{\overline{z}}=aw+b\overline{w} \] to be representable in that form.
URI: http://hdl.handle.net/10077/6403
ISSN: 0049-4704
Appears in Collections:Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.14 (1982)

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