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- W2597595191 abstract "Lavoro in collaborazione con E. Hernandez, J. Parcet e V. Paternostro. Discuteremo la struttura di basi e frames ottenute da orbite di rappresentazioni unitarie di gruppi discreti in sottospazi invarianti di spazi di Hilbert separabili. Tali spazi invarianti possono essere caratterizzati, attraverso intrallacciamenti, come moduli il cui anello dei coefficienti e dato dall'algebra di von Neumann del gruppo, e sono dotati inoltre di una mappa sesquilineare a valori in spazi di operatori di convoluzione densamente definiti, che definiscono una struttura di Hilbert. Si puo mostrare che i frames e le basi associate a famiglie numerabili di orbite hanno una controparte in queste strutture di Hilbert, che ammettono sistemi riproducenti. Questi risultati estendono nozioni chiave di analisi di Fourier e wavelets a sistemi piu generali che possono includere trasformazioni geometriche per gruppi cristallografici o rappresentazioni di gruppi di Heisenberg discreti." @default.
- W2597595191 created "2017-04-07" @default.
- W2597595191 creator A5048645605 @default.
- W2597595191 date "2016-12-01" @default.
- W2597595191 modified "2023-09-25" @default.
- W2597595191 title "Noncommutative Fourier Analysis on Invariant Subspaces: Frames of Unitary Orbits and Hilbert Modules over Group von Neumann Algebras" @default.
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- W2597595191 doi "https://doi.org/10.6092/issn.2240-2829/6689" @default.
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