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.
|Numero di pagine||15|
|Rivista||Journal of Mathematical Physics|
|Stato di pubblicazione||Published - 2007|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics