6533b873fe1ef96bd12d5729

RESEARCH PRODUCT

Two-Parameters Pseudo-Bosons

Fabio Bagarello

subject

PhysicsMathematics::Functional AnalysisPure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsMathematics::Classical Analysis and ODEsFOS: Physical sciencesMathematical Physics (math-ph)Construct (python library)Biorthogonal systempseudo-bosonsSettore MAT/07 - Fisica MatematicaMathematical PhysicsBoson

description

We construct a two-parameters example of {\em pseudo-bosons}, and we show that they are not regular, in the sense previously introduced by the author. In particular, we show that two biorthogonal bases of $\Lc^2(\Bbb R)$ can be constructed, which are not Riesz bases, in general.

https://doi.org/10.1007/s10773-010-0525-9