Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/21367
Título: | New convolutions for quadratic-phase Fourier integral operators and their applications |
Autor: | Castro, L. P. Minh, L. T. Tuan, N. M. |
Palavras-chave: | Convolution Young inequality Oscillatory integral Convolution integral equation Fractional Fourier transform Linear canonical transform |
Data: | 2-Jan-2018 |
Editora: | Springer |
Resumo: | We obtain new convolutions for quadratic-phase Fourier integral operators (which include, as subcases, e.g., the fractional Fourier transform and the linear canonical transform). The structure of these convolutions is based on properties of the mentioned integral operators and takes profit of weight-functions associated with some amplitude and Gaussian functions. Therefore, the fundamental properties of that quadratic-phase Fourier integral operators are also studied (including a Riemann-Lebesgue type lemma, invertibility results, a Plancherel type theorem and a Parseval type identity). As applications, we obtain new Young type inequalities, the asymptotic behaviour of some oscillatory integrals, and the solvability of convolution integral equations. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/21367 |
DOI: | 10.1007/s00009-017-1063-y |
ISSN: | 1660-5446 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
PPrintCastroEtAl2018.pdf | Paper | 203.3 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.