251. On Conjugate Functions
- Author
-
Yung-Ming Chen
- Subjects
Pure mathematics ,biology ,Generalization ,General Mathematics ,010102 general mathematics ,Conjugate element ,biology.organism_classification ,01 natural sciences ,Section (fiber bundle) ,Chen ,0103 physical sciences ,Even and odd functions ,010307 mathematical physics ,0101 mathematics ,Conjugate functions ,Mathematics - Abstract
In a previous paper (3) generalizations of M. Riesz's theorem by the method of asymptotic approximation have been given. The present paper is concerned with further generalizations for even and odd functions. In Section 3, we consider a generalization of a theorem due to Zygmund: If (10, p. 254). The results in this paper include generalizations of results by K. K. Chen (2) and T. M. Flett (4, Theorems 1, 2) as important special cases.
- Published
- 1963