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A series expansion for generalized harmonic functions
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2021-06-11 , DOI: 10.1007/s13324-021-00561-w Markus Klintborg , Anders Olofsson
中文翻译:
广义调和函数的级数展开
更新日期:2021-06-13
Analysis and Mathematical Physics ( IF 1.7 ) Pub Date : 2021-06-11 , DOI: 10.1007/s13324-021-00561-w Markus Klintborg , Anders Olofsson
We consider a class of generalized harmonic functions in the open unit disc in the complex plane. Our main results concern a canonical series expansion for such functions. Of particular interest is a certain individual generalized harmonic function which suitably normalized plays the role of an associated Poisson kernel.
中文翻译:
广义调和函数的级数展开
我们考虑复平面中开单位圆盘中的一类广义调和函数。我们的主要结果涉及此类函数的规范级数展开。特别令人感兴趣的是某个单独的广义调和函数,它适当地归一化,起到相关泊松核的作用。