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Topologies on quaternionic hyperfunctions and duality theorems

 

作者: Irene Sabadini,   Daniele C. Struppa,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1996）
卷期: Volume 30, issue 1  

页码: 19-34

 

ISSN:0278-1077

 

年代: 1996

 

DOI:10.1080/17476939608814908

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30G35;46F15

 

数据来源: Taylor

 

摘要:

The purpose of this paper is to establish a topological isomorphism between the spaceFKof H-hyperfunctions supported by a compactKand the space (G(K))′ of left H-linear functionals onG(K)space of germs of regular functions. The spaceFKis also topologically isomorphic to the spaceR∞1(HP1\K) of left regular functions vanishing at infinity.

 

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