# Invariant analytic orthonormalization procedure with an application to coherent states

@article{Bagarello2007InvariantAO, title={Invariant analytic orthonormalization procedure with an application to coherent states}, author={Fabio Bagarello and Salvatore Triolo}, journal={Journal of Mathematical Physics}, year={2007}, volume={48}, pages={043505-043505} }

We discuss a general strategy which produces an orthonormal set of vectors, stable under the action of a given set of unitary operators Aj, j=1,2,…,n, starting from a fixed normalized vector in H and from a set of unitary operators. We discuss several examples of this procedure and, in particular, we show how a set of coherentlike vectors can be produced and in which condition over the lattice spacing this can be done.

## 6 Citations

### An invariant analytic orthonormalization procedure with applications

- Mathematics
- 2007

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…

### Gabor-like systems in L2(Rd) and extensions to wavelets

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In this paper we show how to construct a certain class of orthonormal bases in L 2 (R d ) starting from one or more Gabor orthonormal bases in L 2 (R). Each such basis can be obtained acting on a…

### Gabor-like systems in and extensions to wavelets

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### Extensions of the Noncommutative Integration

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In this paper we will continue the analysis undertaken in Bagarello et al. (Rend Circ Mat Palermo (2) 55:21–28, 2006), Bongiorno et al. (Rocky Mt J Math 40(6):1745–1777, 2010), Triolo (Rend Circ Mat…

### A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009

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(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p…

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