Gabor Analysis on Finite Product of Cyclic Groups  

作　　者：Jineesh THOMAs N.M.Madhavan NAMBOOTHIRI Ajo JOSE 

机构地区：[1]Research Scholar of Mathematics,St.Thomas College Palai,Kottayam,Kerala,686574,India [2]Professor and Principal,Government Arts&Science College Idukki,Kerala,686013,India

出　　处：《Journal of Mathematical Research with Applications》2024年第4期521-532,共12页数学研究及应用（英文版）

基　　金：Corresponding author:Jineesh THOMAS,E-mail address:[e-mail];N.M.Madhavan NAMBOOTHIRI,E-mail:[e-mail];Ajo JOSE,E-mail:[e-mail]。

摘　　要：We present a complete characterization of Gabor frame operators on finite dimensional Hilbert space L^(2)(Γ),whereΓ=Z_(m1)×Z_(m2)×…×Z_(mp)and m1,m2,...,mpare positive integers.The notion of generalized B-modulation and generalized B-translation is introduced and some significant properties of the generalized pseudo B-Gabor like frames are discussed.

关 键 词：Gabor frame Gabor frame operator MODULATION TRANSLATION 

分 类 号：O152[理学—数学]