Gabor-like systems in ${cal L}^2({bf R}^d)$ and extensions to wavelets
- Autori: BAGARELLO F
- Anno di pubblicazione: 2008
- Tipologia: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/38552
Abstract
In this paper we show how to construct a certain class of orthonormal bases in starting from one or more Gabor orthonormal bases in . Each such basis can be obtained acting on a single function with a set of unitary operators which operate as translation and modulation operators in suitable variables. The same procedure is also extended to frames and wavelets. Many examples are discussed.