Geodesic
On the canonical development of Parseval formulas for singular differential operators
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 72 (1982) no. 2, pp. 65-70

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Zbl MR
Per funzioni opportune $f,g$ si ottiene una formula di Parseval $\langle \mathbf{R}^{Q}, \mathcal{Q}f \, \mathcal{Q}g \rangle_{\lambda} = \langle \Delta_{Q}^{-1/2}f,\Delta_{Q}^{-1/2}g \rangle$ per operatori differenziali singolari di tipo dell'operatore radiale di Laplace-Beltrami. $\mathbf{R}^{Q}$ è una funzione spettrale generalizzata di tipo Marčenko e può essere rappresentata per mezzo di un certo nucleo della trasmutazione. 
Carroll, Robert W. On the canonical development of Parseval formulas for singular differential operators. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 72 (1982) no. 2, pp. 65-70. http://geodesic.mathdoc.fr/item/RLINA_1982_8_72_2_a0/
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     title = {On the canonical development of {Parseval} formulas for singular differential operators},
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