Boundary Singularities of Faber and Fourier Series
نویسندگان
چکیده
Given an analytic Jordan curve with interior G and exterior and given a sequence of complex numbers fang n satisfying lim sup n janj n we consider here three series of the form f z X n anPn z where the polynomials Pn z are chosen to be i the Faber polynomials associated with G ii the polynomials orthogonal over the area of G and iii the polynomials orthogonal over the contour Here we study the nature of the singularities of f z in for these three types of series based solely on the coe cients fang n AMS Classi cation primary B A secondary C
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