The S-Transform of Distributions

Parseval's formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝ(n)) and 𝒮′(ℝ(n)).

Detalles Bibliográficos
Autor principal: Singh, Sunil Kumar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3910128/
https://www.ncbi.nlm.nih.gov/pubmed/24526912
http://dx.doi.org/10.1155/2014/623294
Descripción
Sumario:Parseval's formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝ(n)) and 𝒮′(ℝ(n)).

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