学术报告:Quaternionic Gabor frames for the two-sided quaternionic Fourier transform

编辑:    发布时间:2020-09-14    次点击

华南农业大学数信学院讲座
报告人:Paula Cerejeiras教授(阿威罗大学)
题目:Quaternionic Gabor frames for the two-sided quaternionic Fourier transform
日期:2020年9月19日
时间:15:30-18:00(北京时间)
腾讯会议ID:199 543 079,Pin:1234
点击链接入会,或添加至会议列表:
https://meeting.tencent.com/s/VMCkV68KGgxJ

 
摘要:In this talk we present quaternionic Gabor frames based on the two-sided quaternionic windowed Fourier transform (2sQWF, for short). The 2sQFT is one of the most interesting cases of a quaternionic windowed Fourier transform with applications to image processing. However, the 2sQWF presents several challenges. To begin with, it is neither left- nor right-linear with respect to quaternionic constants. Since methods of classical Hilbert spaces do not work in this case it is required to introduce appropriated versions of translation and modulation operators. In this context, we prove Janssen’s and Walnut’s representations, as well as modified versions of the Wexler-Raz biorthogonality and Ron-Shen duality based on the concept of correlation function. This will enable us to present a characterization of tight quaternionic Gabor frames. This is a joint work with S. Hartmann and H.Orelma.


Paula Cerejeiras教授简介:葡萄牙Aveiro大学数学系副教授。1998/09于葡萄牙Aveiro大学数学系获得博士学位。研究领域为:Complex Analysis、Clifford and Quaternionic Analysis、Radon Transform、Wavelet Analysis、Inverse Problems。担任国际学术期刊Advances in Applied Clifford Algebras和IJWMIP编委。组织过国际学术会议和讨论班,如CMFT 2001、IWOTA2014、AMS-EMS-SPM meeting、AMS sectional meeting San Francisco、ISAAC2019、ICMMP 2019 (Marrakech)、Special Session Clifford Analysis at 12th ICCA。共发表学术论文76篇。


欢迎广大师生参加!


分享到: