Given a complex meromorphic function, it is well defined its Riesz measure in termsof the laplacian of the logarithm of its modulus. Moreover, related to this tool, it is possible to provethe celebrated Jensen formula. In the present paper, using among the other things the fundamentalsolution for the bilaplacian, we introduce a possible generalization of these two concepts in the spaceof quaternions, obtaining new interesting Riesz measures and global (i.e. four dimensional), Jensen formulas.
Log-biharmonicity and a Jensen formula in the space of quaternions
Cinzia Bisi
Ultimo
2019
Abstract
Given a complex meromorphic function, it is well defined its Riesz measure in termsof the laplacian of the logarithm of its modulus. Moreover, related to this tool, it is possible to provethe celebrated Jensen formula. In the present paper, using among the other things the fundamentalsolution for the bilaplacian, we introduce a possible generalization of these two concepts in the spaceof quaternions, obtaining new interesting Riesz measures and global (i.e. four dimensional), Jensen formulas.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
AltavillaBisi.pdf
accesso aperto
Tipologia:
Full text (versione editoriale)
Licenza:
PUBBLICO - Pubblico con Copyright
Dimensione
380.62 kB
Formato
Adobe PDF
|
380.62 kB | Adobe PDF | Visualizza/Apri |
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
