Email this article Summation Methods for Fourier Series with Respect to the Azoff–Shehada System
- Authors: Pyshkin A.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 215, No 5 (2016)
- Pages: 617-623
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237683
- DOI: https://doi.org/10.1007/s10958-016-2868-0
- ID: 237683
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Abstract
A special class of complete minimal systems with complete biorthogonal system in a Hilbert space is considered. This class was introduced by Azoff and Shehada. The paper studies conditions under which there exists a linear summation method for Fourier series with respect to the Azoff–Shehada system. A construction of a linear summation method of the Fourier series for a given vector is presented, as well as a construction of a universal linear summation method.
About the authors
A. Pyshkin
St.Petersburg State University
Author for correspondence.
Email: aapyshkin@gmail.com
Russian Federation, St.Petersburg
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