The $\mathfrak {v}$-radial Paley–Wiener theorem for the Helgason Fourier transform on Damek–Ricci spaces
Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 87-113

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

We prove the Paley–Wiener theorem for the Helgason Fourier transform of smooth compactly supported $\mathfrak {v}$-radial functions on a Damek–Ricci space $S=NA$.
DOI : 10.4064/cm6647-11-2015
Keywords: prove paley wiener theorem helgason fourier transform smooth compactly supported mathfrak radial functions damek ricci space

Roberto Camporesi  1

1 Dipartimento di Scienze Matematiche Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy
Roberto Camporesi. The $\mathfrak {v}$-radial Paley–Wiener theorem for the Helgason Fourier transform on Damek–Ricci spaces. Colloquium Mathematicum, Tome 144 (2016) no. 1, pp. 87-113. doi: 10.4064/cm6647-11-2015
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     title = {The $\mathfrak {v}$-radial {Paley{\textendash}Wiener} theorem for the {Helgason} {Fourier} transform on {Damek{\textendash}Ricci} spaces},
     journal = {Colloquium Mathematicum},
     pages = {87--113},
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