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ArticleOriginal scientific text

Title

Continuation of holomorphic solutions to convolution equations in complex domains

Authors 1, 2, 1

Affiliations

  1. Department of Mathematics and Informatics, Faculty of Sciences, Chiba University, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
  2. Institute of Natural Sciences, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan

Abstract

For an analytic functional S on ℂn, we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in ℂn. We determine the directions in which every solution can be continued analytically, by using the characteristic set.

Keywords

ENG
convolution equation, analytic continuation, characteristic set

Bibliography

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Annales Polonici Mathematici
2000/74/1
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Pages:
105-115
Main language of publication
English
Received
1998-12-08
Accepted
1999-07-28
Published
2000
Exact and natural sciences