Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 97
Frames in l^{2}(H)
Hamid Faraj, Samir Kabbaj, Mohamed Maghfoul
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 08, 2022
March 03, 2092
April 15, 2092

Abstract: The notion of a frame for Hilbert spaces was introduced by Duffin and Schaeffer [5]. This was done while probing into some questions in non-harmonic Fourier series. This idea seemed to have been unnoticed outside of this area until Daubechies, Grossmann and Meyer brought it into light in 1986. the latter’s showed that Duffin and Schaeffer’s definition was an abstraction of the concept introduced by Gabor in 1946 for doing signal analysis.. In this communication, we will give sufficient conditions for an infinite family in l2(H) to be a frame for H, where l2(H) is the space of square ...