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math.CA2026
Hahn-Type Orthogonality for the Resolvent Delta Operator
Youssef Esstafa, Ridha Sfaxi
We investigate orthogonality under the shift-invariant resolvent delta operator . First, we prove a rigidity theorem: a monic orthogonal polynomial sequence…
math.PR2026
Quantitative central limit theorem for an integrated periodogram via the fourth moment theorem
Samir Ben Hariz, Duc-Quang Bui, Youssef Esstafa
We revisit the central limit theorem for integrated periodograms, equivalently for Toeplitz quadratic forms of stationary Gaussian sequences. Under a regular-variation assumption a…