Please use this identifier to cite or link to this item
|title: ||Inequalities and consequences of new convolutions for the fractional Fourier transform with Hermite weights|
|authors: ||Anh, P. K.|
Castro, L. P.
Thao, P. T.
Tuan, N. M.
|keywords: ||Fractional Fourier transform|
Young's convolution inequality
|issue date: ||27-Jan-2017|
|publisher: ||American Institute of Physics|
|abstract: ||This paper presents new convolutions for the fractional Fourier transform which are somehow associated with the Hermite functions. Consequent inequalities and properties are derived for these convolutions, among which we emphasize two new types of Young's convolution inequalities. The results guarantee a general framework where the present convolutions are well-defined, allowing larger possibilities than the known ones for other convolutions. Furthermore, we exemplify the use of our convolutions by providing explicit solutions of some classes of integral equations which appear in engineering problems.|
|publisher version/DOI: ||http://dx.doi.org/10.1063/1.4972598|
|source: ||AIP Conference Proceedings|
|appears in collections||CIDMA - Artigos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.