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On Spaces of Vector Functions that are Holomorphic in an Angular Domain

  • V. V. Vlasov,
  • N. A. Rautian

摘要

In this paper, we study spaces of vector functions that are holomorphic in an angular domain of the complex plane and with values in a separable Hilbert space. We show that, equipped with the appropriate norms, these spaces are Hilbert spaces.