On changes of variable that preserve convergence and absolute convergence of Fourier-Haar series
Kakha Rostomovich Bitsadze
Abstract
Kakha Rostomovich Bitsadze
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.
Key concepts: Absolute convergence, Convergence (economics), Almost everywhere, Haar, Fourier series, Function series, Mathematics, Differentiable function