A Theorem of Menšov on the Adjustment of Functions | Zendy

Körner T. W. | Zendy

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A Theorem of Menšov on the Adjustment of Functions

Author(s) -

Körner T. W.

Publication year - 1999

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/s0024610799007899

Subject(s) - fourier series , mathematics , series (stratigraphy) , trigonometric series , representation (politics) , function (biology) , function series , pure mathematics , set (abstract data type) , trigonometric functions , measurable function , conjugate fourier series , mathematical analysis , fourier transform , fourier analysis , computer science , geometry , paleontology , evolutionary biology , politics , political science , law , bounded function , biology , programming language , short time fourier transform

A new proof is given of a theorem of Menšov which states that a measurable function can be changed on a set of arbitrarily small measure to obtain a function with uniformly convergent Fourier series. Other results of Menšov on the representation of functions by trigonometric series are obtained by using a related result.

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