Faber级数和Bessel级数的近似法

摘要

该文用F<,n>(z)标记Faber多项式, Faber多项式是特殊的多项式,是和集E有关,E是容许连续统.如果E是闭圆域,则它的Faber多项式是幂函数.该文用J<,n>(z).O<,n>(z)标记Bessel函数和Neumann多项式.该文给出下面几个走理:(略)

目录

Abstract

Introduction

Chapter 1. Behaviour of the Faber series at an analytic point of the boundary

Chapter 2. Behaviour of the Bessel series at an analytic point of the boundary

Chapter 3. The Fejer sum of the Bessel series on the unit cir-cle

Chapter 4. The equiconvergence theorem for Bessel series on the unit circle

References

Abstract (Chinese)