Fredholm discrete Wiener–Hopf operators on reflexive rearrangement-invariant Banach sequence spaces are one-sided invertible

Key Points

• The aim is to establish conditions under which Fredholm discrete Wiener–Hopf operators are one-sided invertible in reflexive rearrangement-invariant Banach sequence spaces.
• Analysis of periodic distributions generating bounded Laurent operators.
• Examination of Fredholm properties of the discrete Wiener–Hopf operators on subspaces.
• Determination of invertibility through the operator's index.
• The discrete Wiener–Hopf operator is left-invertible when the index is less than or equal to zero.
• The operator is right-invertible when the index is greater than or equal to zero.