0000000000413531

AUTHOR

F Bagarello

showing 2 related works from this author

Gabor-like systems in ${cal L}^2({bf R}^d)$ and extensions to wavelets

2008

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.

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 PhysicsMathematics
researchProduct

A class of weak pseudo-bosons and their bi-coherent states

2022

In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of {\em compatible} functions is discussed in details, and some examples are considered. The pseudo-bosonic ladder operators analysed in this paper generalize significantly those considered so far, and a class of new diagonalizable manifestly non self-adjoint Hamiltonians are deduced.

Applied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsAnalysisPseudo-bosonic operators Compatible generalized eigenstates Weak bi-coherent statesJournal of Mathematical Analysis and Applications
researchProduct