Generalized Kronecker’s theorem and strong limit power functions

Chuanyi Zhang

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https://doi.org/10.1...arrow_drop_down

https://doi.org/10.1063/1.3546...

Article . 2011 . Peer-reviewed

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https://dx.doi.org/10.1063/1.3...

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Generalized Kronecker’s theorem and strong limit power functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2011Publisher:AIPJournal:AIP Conference Proceedings (issn: 0094-243X,

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Authors: Chuanyi Zhang;

doi: 10.1063/1.3546091

Generalized Kronecker’s theorem and strong limit power functions

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Abstract

In this paper Kronecker’s theorem is extended to a quite general setting and the new version of the theorem is applied to investigate strong limit power functions. Three fundamental theorems of Fourier expansion are shown to be equivalent. Some principles for the convergence of Fourier series are given. The hull of strong limit power functions is characterized.

Related Organizations

Harbin Institute of Technology
China (People's Republic of)

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