6533b7ddfe1ef96bd1274860
RESEARCH PRODUCT
Gabor-like systems in ${cal L}^2({bf R}^d)$ and extensions to wavelets
F Bagarellosubject
Statistics and ProbabilityPure mathematicsClass (set theory)Basis (linear algebra)General Physics and AstronomyStatistical and Nonlinear PhysicsFunction (mathematics)Translation (geometry)Unitary stateSet (abstract data type)WaveletModeling and SimulationOrthonormal basisGabor framesSettore MAT/07 - Fisica MatematicaMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-07-17 |