On the perturbations of maps obeying Shannon–Whittaker–Kotel’nikov’s theorem generalization
Let f : R?R be a map and t ? R+. The map f obeys the Shannon–Whittaker–Kotel’nikov theorem generalization (SWKTG) if f (t) = lim n?8 (k?Z f 1n ( k t ) sinc(t t – k))n for every t ? R. The aim of the present paper is to characterize the perturbations of the map f that obeys SWKTG. Our results enlarge...
| Autores: | ; ; |
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| Tipo de documento: | Artigo |
| Data de publicação: | 2021 |
| País: | España |
| Recursos: | Universidad de Castilla-La Mancha |
| Repositório: | RUIdeRA. Repositorio Institucional de la UCLM |
| OAI Identifier: | oai:ruidera.uclm.es:10578/39003 |
| Acesso em linha: | https://doi.org/10.1186/s13662-021-03535-1 https://hdl.handle.net/10578/39003 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Recomposition of chemical products Shannon–Whittaker–Kotel’nikov’s Theorem Signal theory |
| Resumo: | Let f : R?R be a map and t ? R+. The map f obeys the Shannon–Whittaker–Kotel’nikov theorem generalization (SWKTG) if f (t) = lim n?8 (k?Z f 1n ( k t ) sinc(t t – k))n for every t ? R. The aim of the present paper is to characterize the perturbations of the map f that obeys SWKTG. Our results enlarge the catalog of maps that can be recomposed using SWKTG. We underline that maps obeying SWKTG play a central role in applications to chemistry and signal theory between other fields. |
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