ORTHOGONAL DIRICHLET POLYNOMIALS WITH CONSTANT WEIGHT

Applicable Analysis and Discrete Mathematics

article

Doron S. Lubinsky¹ 

[1] School of Mathematics, Georgia Institute of Technology

关键词: Orthogonal Dirichlet Polynomials;   

DOI  :  10.2298/AADM190714027L

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

Let {λj}∞j=1 be a sequence of distinct positive numbers. We analyze theorthogonal Dirichlet polynomials {ψn,T } formed from linear combinations ofλ−itjnj=1, associated with constant (or Legendre) weight on [−T, T]. Thus12TZ T−Tψn,T (t) ψm,T (t)dt = δmn.Moreover, we analyze how these polynomials behave as T varies.

【 授权许可】

Unknown