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 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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. 
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     title = {On the canonical development of {Parseval} formulas for singular differential operators},
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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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