2019•Sbornik MathematicsRequires access

On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series

Kakha Rostomovich Bitsadze

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Abstract

Abstract It is established that among all the differentiable homeomorphic changes of variable only the functions and for preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere. Bibliography: 8 titles.

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Abstract It is established that among all the differentiable homeomorphic changes of variable only the functions and for preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere. Bibliography: 8 titles.

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Available abstract

Abstract It is established that among all the differentiable homeomorphic changes of variable only the functions and for preserve convergence everywhere of the Fourier-Haar series. The same is true for absolute convergence everywhere. Bibliography: 8 titles.

Key concepts: Absolute convergence, Convergence (economics), Almost everywhere, Haar, Fourier series, Function series, Mathematics, Differentiable function

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