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Corrigenda to: "Generalizations of theorems of Fejér and Zygmund on convergence and boundedness of conjugate series" (Studia Math. 57 (1976), 241-249)

G. Goes (1998)

Studia Mathematica

Proposition 4.1(i) of [1] is incorrect, i.e. the sequence of Cesàro-sections σ n x of a sequence x in a translation invariant BK-space is not necessarily bounded. Theorem 4.2(ii) of [1] and the proof of Proposition 4.3 of [1] are corrected. All other statements of [1], including Proposition 4.3 itself, are correct.

Critical length for a Beurling type theorem

Michel Mehrenberger (2005)

Bollettino dell'Unione Matematica Italiana

In a recent paper [3] C. Baiocchi, V. Komornik and P. Loreti obtained a generalisation of Parseval's identity by means of divided differences. We give here a proof of the optimality of that theorem.

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