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A function theory for finding a basis for all polynomial solutions to linear constant coefficient pde's of homogeneous order

 

作者: Paul S. Pedersen,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1994）
卷期: Volume 24, issue 1-2  

页码: 79-87

 

ISSN:0278-1077

 

年代: 1994

 

DOI:10.1080/17476939408814702

 

出版商: Gordon and Breach Science Publishers

 

关键词: 31B35;30G30

 

数据来源: Taylor

 

摘要:

In this paper, we develop a theory of functions on real, finitcly generated, associative, and commutative algebras which we then use to find a basis for the vector space of all real polunomial solutions to a given linear constam coeffieien partial differential equation of homogeneous order.

 

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