The range of the Helgason-Fourier transformation on homogeneous trees

Bulletin of the Australian Mathematical Society

Volumn 59, Issue 2, 1999, Pages 237-246

  Cowling, Michael ^a   Setti, Alberto G ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF INSUBRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002177327     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700032858     Document Type: Article

References (7)

1. W. Betori, J. Faraut and M. Pagliacci, 'An inversion formula for the Radon transform on trees', Math. Zeit. 201 (1989), 327-337.
2. E. Casadio Tarabusi, J.M. Cohen and F. Colonna, 'The range of the horocyclical Radon transform on homogeneous trees', preprint.
3. M. Cowling, S. Meda and A. G. Setti, 'An overview of harmonic analysis on the group of isometries of a homogeneous tree', Exposit. Math. 16 (1998), 385-424.
4. A. Figà-Talamanca and C. Nebbia, Harmonic analysis and representation theory for groups acting on homogeneous trees, London Math. Soc. Lecture Notes Series, 162 (Cambridge Univ. Press, Cambridge, 1991).
5. A. Figà-Talamanca and M. Picardello, Harmonic analysis on free groups (Dekker, New York, 1983).
6. S. Helgason, Geometric analysis on symmetric spaces, Math. Surveys and Monog. (Amer. Math. Soc., Providence, R.I., 1994).
7. A. M. Mantero and A. Zappa, 'The Poisson transform and representations of a free group', J. Funct. Anal. 51 (1983), 372-399.