Fourier had assumed that for bounded functions term by term integration of an infinite series representing the function was possible.
푸리에는 경계 기능을 용어에 대한 무한한 일련의 기능을 나타내는 용어는 통합에 의해 가능했다라고 생각했다.
It was in this period that John introduced the space of functions of bounded mean oscillations which plays a fundamental role in harmonic analysis and nonlinear elliptic equations.
이 기간 동안 존이 고조파 분석 및 비선형 방정식 타원의 근본적인 역할 묶여 뜻 진동 기능의 공간이 도입되었다.
He also originated the concept of functions of bounded variation and is known especially for his definition of the length of a curve.
그는 또한 경계의 유사 기능의 개념을 기원 특히 커브의 길이를 자신의 정의에 대한 알려져있다.
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