Abstract
In the present paper we consider the Volterra integration operator V on the Wiener algebra W ( D ) of analytic functions on the unit disc D of the complex plane C . A complex number λ is called an extended eigenvalue of V if there exists a nonzero operator A satisfying the equation AV = λ VA . We prove that the set of all extended eigenvalues of V is precisely the set C ⧹ { 0 } , and describe in terms of Duhamel operators and composition operators the set of corresponding extended eigenvectors of V . The similar result for some weighted shift operator on ℓ p spaces is also obtained.
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