We consider the overdetermined problem of integral geometry on trees given by the transform that integrates functions on a tree over circles, and exhibit difference equations that describe the range. We then show how this problem modifies if we restrict the transform to some natural subcomplex of the complex of circles, proving inversion formulas and characterizing ranges. (C) 2003 Elsevier B.V. All rights reserved.
Casadio Tarabusi, E., Gindikin, S.g., Picardello, A.m. (2003). The circle transform on trees. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 19(3), 295-305 [10.1016/S0926-2245(03)00036-6].
The circle transform on trees
Picardello A. M.
2003-01-01
Abstract
We consider the overdetermined problem of integral geometry on trees given by the transform that integrates functions on a tree over circles, and exhibit difference equations that describe the range. We then show how this problem modifies if we restrict the transform to some natural subcomplex of the complex of circles, proving inversion formulas and characterizing ranges. (C) 2003 Elsevier B.V. All rights reserved.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Gindikin,Casadio,Picard-Circle_transform-DiffGeoApp.pdf
solo utenti autorizzati
Licenza:
Copyright dell'editore
Dimensione
183.98 kB
Formato
Adobe PDF
|
183.98 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
