Affordable Access

On decompositions of trigonometric polynomials

Authors
Type
Preprint
Publication Date
Submission Date
Identifiers
arXiv ID: 1307.5594
Source
arXiv
License
Yellow
External links

Abstract

Let R_t[\theta] be the ring generated over R by cos\theta and sin\theta, and R_t(\theta) be its quotient field. In this paper we study the ways in which an element p of R_t[\theta] can be decomposed into a composition of functions of the form p=R(q), where R\in R(x) and q\in R_t(\theta). In particular, we describe all possible solutions of the functional equation R_1(q_1)=R_2(q_2), where R_1, R_2 \in R[x] and q_1,q_2\in R_t[\theta].

Statistics

Seen <100 times