Abstract
We apply the orthonormalization procedure previously introduced by Bagarello and Triolo [J. Math. Phys. 48, 043505 (2007)] and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Gabor frames, we show how to construct g(x) ∈ L 2(ℝ) in such a way the functions gn(x)=e ian1xg(x+an2), n ∈ ℤ2 and a some positive real number, are mutually orthogonal. We discuss in some detail the role of the lattice naturally associated with the procedure in this analysis.
Lingua originale | English |
---|---|
pagine (da-a) | 103513_1-103513_15 |
Numero di pagine | 15 |
Rivista | Journal of Mathematical Physics |
Volume | 48 |
Stato di pubblicazione | Published - 2007 |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics