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Wavelet transforms on Gelfand-Shilov spaces and concrete examples

In this paper, we study the continuity properties of wavelet transforms in the Gelfand-Shilov spaces with the use of a vanishing moment condition. Moreover, we also compute the Fourier transforms and the wavelet transforms of concrete functions in the Gelfand-Shilov spaces.

Detalles Bibliográficos
Autores principales: Fukuda, Naohiro, Kinoshita, Tamotu, Yoshino, Kazuhisa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5437219/
https://www.ncbi.nlm.nih.gov/pubmed/28596697
http://dx.doi.org/10.1186/s13660-017-1393-0