H^p Representation of ultraspherical expansions^†

^†Presented at the International Conference on Contemporary Complex Analysis, Lexington, KY, May 25, 1981.

Abstract

Ultraspherical expansions are viewed as boundary values of n-analytic functions V. Let E be a positive measure set on the δΔ where and let with G the restriction to E. Functions Vα are constructed from G so that Those functions G on E that are the restrictions of functions in are characterized. An application verifies that if for A an arc of the ∂Δ and V is in may be uniquely expanded in a series whose coefficients are drawn from the means and shifted means of G on A

AMS (MOS): 33A45:

• 35C15
• 35J65
• Secondary: 30D55

^†Presented at the International Conference on Contemporary Complex Analysis, Lexington, KY, May 25, 1981.

^†Presented at the International Conference on Contemporary Complex Analysis, Lexington, KY, May 25, 1981.

Notes

^†Presented at the International Conference on Contemporary Complex Analysis, Lexington, KY, May 25, 1981.