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2021
FOURIER SERIES OF A DEVIL’S STAIRCASE
FOURIER SERIES OF A DEVIL’S STAIRCASE
호남수학회
권도용
논문정보
- Publisher
- 호남수학학술지
- Issue Date
- 2021-06-25
- Keywords
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- Volume
- 43
- Number
- 2
- Start Page
- 259
- End Page
- 267
- DOI
- ISSN
- 1225293X
Abstract
Given β > 1, we consider real numbers whose β-expansions are Sturmian words. When the slope of Sturmian words varies, their behaviors have been well studied from analytical point of view. The regularity enables us to find the Fourier series expansion, while the singularity at rational slopes yields a new kind of trigonometric series representing π.
- 전남대학교
- KCI
- 호남수학학술지
저자 정보
| 이름 | 소속 |
|---|---|
| 권도용 | 수학과 |