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Letbe a complex unital Banach algebra and  D  be a non-empty open connected subset ofLet  f  be a holomorphic-valued function on  D . We set:whereis the set of all invertible elements in. In this paper, we give a description ofusing the classical spectrum of. Moreover, within the framework of this paper, we give a partial positive answer to the following problem which was posed by B. Aupetit: If the usual spectrumis polar for allis it true thatis polar?

Spectrum of banach valued holomorphic functions and polar sets