@article{oai:shotoku.repo.nii.ac.jp:00001704,
 author = {加藤, 政壽美 and KATO, MASASUMI},
 journal = {聖徳学園岐阜教育大学紀要, Bulletin of Gifu College of Education},
 month = {Feb},
 note = {Let C be the class of all functions which are analytic in D : |z|<1 and continuous on D^^- : |z|≦1,and E be a non-void closed set of Lebesgue measure zero on γ : |z|=1. Then, in §1 of this note, we shal prove the following. Lemma. For any open (considered on γ) set 0 such that E ⊂0⊂__≠γ and for any η>0,there exists a function g(z)∈C satisfying the conditions (I)g=1 on E, (ii) |g|<η on γ-0,and (iii) |g(z)|<1 in D. In §2,by combining the above lemma with the generalized Runge's theorem [1], we shall give a simple proof for a theorem due to Rudin [2] and Carleson [3]. In §3,by using the above Rudin-Carleson's theorem, we shall give a new proof of the well-known F. and M. Riesz's theorem.},
 pages = {73--77},
 title = {Rudin-Carleson の定理について},
 volume = {35},
 year = {1998},
 yomi = {カトウ, マサスミ}
}