Asymptotic Spaces of Holomorphic Functions

  • Sebastian Klein
Part of the Lecture Notes in Mathematics book series (LNM, volume 2229)


We now introduce “asymptotic spaces” of holomorphic functions on \(\mathbb {C}^*\) or on Σ which have prescribed descent to 0 for λ → and/or for λ → 0; for this purpose we will cover \(\mathbb {C}^*\) by a sequence \((S_k)_{k\in \mathbb {Z}}\) of annuli, the descent of the functions described by these spaces will be uniform on each of these annuli Sk (up to a factor w(λ)s).

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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Sebastian Klein
    • 1
  1. 1.School of Business Informatics & MathematicsUniversity of MannheimMannheimGermany

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