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Nonharmonic Fourier series. (English. Russian original) Zbl 0242.42014

Sib. Math. J. 12(1971), 793-802 (1972); translation from Sib. Mat. Zh. 12, 1100-1114 (1971).

MSC:

42C15 General harmonic expansions, frames
42A65 Completeness of sets of functions in one variable harmonic analysis
42A75 Classical almost periodic functions, mean periodic functions
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References:

[1] S. Verblunsky, ?On an expansion in exponential series,? Quart. J. Math.,7, No. 27, 231-240 (1956). · Zbl 0072.06401 · doi:10.1093/qmath/7.1.231
[2] S. Verblunsky, ?On a class of integral functions,? Quart. J. Math.,8, No. 32, 312-320 (1957). · Zbl 0079.29403 · doi:10.1093/qmath/8.1.312
[3] N. Levinson, ?Gap and density theorems,? Amer. Math. Soc. Coll. Publ., New York (1940). · JFM 66.0332.01
[4] N. Wiener and R. Peli, Fourier Transforms in Complex Domain [Russian translation], Nauka, Moscow (1964).
[5] S. M. Nikolskii, Approximation of Functions of Many Variables and Imbedding Theorems [in Russian], Nauka, Moscow (1969).
[6] G. M. Fikhtengol’ts, A Course of Differential and Integral Calculus [in Russian], Vol. II, Nauka, Moscow (1966).
[7] A. Zygmund, Trigonometric Series [Russian translation], Vol. I, Mir, Moscow (1965). · Zbl 0121.05804
[8] A. F. Leont’ev, ?On properties of sequences of Dirichlet’s polynomials, converging on an interval of imaginary axis,? Izv. Akad. Nauk SSSR, Ser. Matem.,29, No. 2, 269-328 (1965).
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