An invariant analytic orthonormalization procedure with applications

Simple item page
dc.creatorBagarello, F.
dc.creatorAbdollahpour, M. R.
dc.creatorTriolo, S.
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:06:49Z
dc.date.available2026-07-07T13:06:49Z
dc.descriptionWe apply the orthonormalization procedure previously introduced by two of us and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Gabor frames we show how to construct $g(x)\in L^2(\Bbb{R})$ in such a way the functions $g_{\underline n}(x)=e^{ian_1x}g(x+an_2)$, $\underline n\in\Bbb{Z}^2$ and $a$ some positive real number, are mutually orthogonal. We discuss in some details the role of the lattice naturally associated to the procedure in this analysis.
dc.identifierhttps://arxiv.org/abs/0904.3211
dc.identifierhttp://arxiv.org/abs/0904.3211
dc.identifierJ. Math. Phys., 48 (2007)
dc.identifierdoi:10.1063/1.2800286
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227900
dc.subjectMathematical Physics
dc.titleAn invariant analytic orthonormalization procedure with applications
dc.typetext

Files

Collections

arXiv