Fourier expansions of entire functions

Authors : D KUMAR

Pages : 0-0

Doi:10.1501/Commua1_0000000400

View : 15 | Download : 13

Publication Date : 1998-01-01

Article Type : Research Paper

Abstract :Let E denote a compact lordan region in the complcx plane with positive transfinite diameter and Hinsert ignore into journalissuearticles values(E); the Hilbert space of entire functions. This paper is deals with relations connecting the insert ignore into journalissuearticles values(p, q);-growth of an entire function f e Hinsert ignore into journalissuearticles values(E); with its Fourier coefficients with respect to an orthonormal sequence of polynomials in Hinsert ignore into journalissuearticles values(E);. The insert ignore into journalissuearticles values(p, q);-order and generalized insert ignore into journalissuearticles values(p, q);-type have been characterized in terms of Fourier coefficients for f e Hinsert ignore into journalissuearticles values(E);.
Keywords : Fourier expansion, entire functions, Statistics