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Journal of Mathematical Sciences

, Volume 215, Issue 5, pp 617–623 | Cite as

Summation Methods for Fourier Series with Respect to the Azoff–Shehada System

  • A. Pyshkin
Article
  • 17 Downloads

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.

Keywords

Fourier Series Operator Algebra Root Vector Tridiagonal Matrix Summation Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.St.Petersburg State UniversitySt.PetersburgRussia

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