Uncertainty inequality and approximate inversion formulas for r-weighted Fock spaces

Authors

  • F. Soltani Université de Carthage, Tunisia

Abstract

We introduce r-weighted Fock space Fr,β which generalizes some previously known Hilbert spaces, and study the multiplication operator Mr and its adjoint. A general uncertainty inequality of Heisenberg type is obtained. We also consider the extremal functions for the r-difference operator Dr on the space and obtain approximate inversion formulas.

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Published

2024-12-28

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Articoli