Geodesic
Summation methods for Fourier series with respect to the Azoff--Shehada system
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 116-125

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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. 
@article{ZNSL_2015_434_a9,
     author = {A. Pyshkin},
     title = {Summation methods for {Fourier} series with respect to the {Azoff--Shehada} system},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {116--125},
     publisher = {mathdoc},
     volume = {434},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a9/}
}
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A. Pyshkin. Summation methods for Fourier series with respect to the Azoff--Shehada system. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 43, Tome 434 (2015), pp. 116-125. http://geodesic.mathdoc.fr/item/ZNSL_2015_434_a9/