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Stone-weierstrass approximations by solutions of elliptic differential equations

 

作者: Rudolf Heersink,   Wolfgang Tutschke,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 27, issue 2  

页码: 97-104

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814808

 

出版商: Gordon and Breach Science Publishers

 

关键词: 41A30;41A10;41A63;35J15;35J30

 

数据来源: Taylor

 

摘要:

Using the well-known Stone-Weierstrass theorem, the paper proves that (real valued) continuous functions can be approximated uniformly by polynomials in solutions of elliptic differential equations. Moreover, the article discusses the question how many solutions are necessary in order to generate a subring of such polynomials whose closure is dense in the ring of continuous functions.

 

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