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Properties of holomorphic Wiener functions —skeleton, contraction, and local Taylor expansion
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  • Published: March 1994

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

  • Hiroshi Sugita1 

Probability Theory and Related Fields volume 100, pages 117–130 (1994)Cite this article

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  • 18 Citations

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Summary

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, College of General Education, Kyushu University, Ropponmatsu, 810, Fukuoka, Japan

    Hiroshi Sugita

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  1. Hiroshi Sugita
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Additional information

Supported in part by the Grant-in-Aid for Science Research 03740120 Min. Education

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Cite this article

Sugita, H. Properties of holomorphic Wiener functions —skeleton, contraction, and local Taylor expansion. Probab. Th. Rel. Fields 100, 117–130 (1994). https://doi.org/10.1007/BF01204956

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  • Received: 04 May 1993

  • Revised: 21 January 1994

  • Issue Date: March 1994

  • DOI: https://doi.org/10.1007/BF01204956

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Mathematics Subject Classification

  • 60H07
  • 46G20
  • 46E50
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