Probability Theory and Related Fields

, Volume 100, Issue 1, pp 117–130

Properties of holomorphic Wiener functions —skeleton, contraction, and local Taylor expansion

  • Hiroshi Sugita

DOI: 10.1007/BF01204956

Cite this article as:
Sugita, H. Probab. Th. Rel. Fields (1994) 100: 117. doi:10.1007/BF01204956


We show that each holomorphic Wiener function has a skeleton which is intrinsic from several viewpoints. In particular, we study the topological aspects of the skeletons by using the local Taylor expansion for holomorphic Wiener functions.

Mathematics Subject Classification

60H07 46G20 46E50 

Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Hiroshi Sugita
    • 1
  1. 1.Department of Mathematics, College of General EducationKyushu UniversityFukuokaJapan

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