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Descripción
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| Nyquist-Shannon sampling theorem, instrumental in classical telecom- munication technologies, is extended to quantum systems supporting a unitary rep- resentation of a finite group G. Two main ideas from the classical theory having natural counterparts in the quantum setting: frames and invariant subspaces, pro- vide the mathematical background for the theory. The main ingredients of classical sampling theorems are discussed and their quantum counterparts are thoroughly an- alyzed in this simple situation. A few examples illustrating the obtained results are discussed. | |
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Internacional
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Si |
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DOI
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10.1007/978-3-030-24748-5-11 |
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Edición del Libro
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1 |
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Editorial del Libro
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Springer Nature / Springer |
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ISBN
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978-3-030-24748-5 |
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Serie
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Título del Libro
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Classical and Quantum Physics: 60 years Alberto Ibort Fest, Geometry, Dynamics and Control |
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Desde página
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203 |
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Hasta página
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223 |