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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2014, Volume 14, Issue 1, Pages 28–38 (Mi isu483)

About harmonic analysis of periodic at infinity functions
I. I. Strukova

References

1. Daletsky Yu. L., Krein M. G., Stability of Solutions of Differential Equations in Banach Space. Nonlinear Analysis and Its Applications, Nauka, Moscow, 1970, 534 pp.  mathscinet
2. Pak I. N., “On the sums of trigonometric series”, Rus. Math. Surv., 35:2 (1980), 105–168  mathnet  crossref  mathscinet  zmath  zmath  isi
3. Karamata J., “Sur un mode de croissance régulière. Théorèmes fondamentaux”, Bulletin S. M. F., 61 (1933), 55–62  mathscinet  zmath
4. Hardy G. H., “A theorem concerning trigonometrical series”, Journal L. M. S., 3 (1928), 12–13  zmath
5. Seneta E., Regularly varying functions, Lecture Notes in Mathematics, 508, Springer-Verlag, Berlin, 1976  crossref  mathscinet  zmath
6. Levin B. Ya., Distribution of zeros of entire functions, Gostekhizdat, Moscow, 1956, 632 pp.
7. Strukova I. I., “Wiener's theorem for periodic at infinity functions”, Izv. Saratov. Univ. (N.S.), Ser. Math. Mech. Inform., 12:4 (2012), 34–41  mathnet
8. Baskakov A. G., “Spectral tests for the almost periodicity of the solutions of functional equations”, Math. Notes, 24:1–2 (1978), 606–612  mathnet  crossref  mathscinet  zmath
9. Baskakov A. G., “Bernšteĭn-type inequalities in abstract harmonic analysis”, Siberian Math. J., 20:5 (1979), 665–672  mathnet  crossref  mathscinet  zmath
10. Baskakov A. G., “General ergodic theorems in Banach modules”, J. Funct. Anal., 14:3 (1980), 215–217  mathnet  crossref  mathscinet  zmath  isi
11. Baskakov A. G., “Spectral synthesis in Banach modules over commutative Banach algebras”, Math. Notes, 34:3–4 (1983), 776–782  mathnet  crossref  mathscinet  zmath  isi
12. Baskakov A. G., “Harmonic analysis of cosine and exponential operator-valued functions”, Math. of the USSR-Sbornik, 52:1 (1985), 63–90  mathnet  crossref  mathscinet  mathscinet  zmath  zmath
13. Baskakov A. G., “Operator ergodic theorems and complementability of subspaces of Banach spaces”, Soviet Math., 32:11 (1988), 1–14  mathnet  mathscinet  zmath
14. Baskakov A. G., “Wiener's theorem and asymptotic estimates for elements of inverse matrices”, Funct. Anal. Appl., 24:3 (1990), 222–224  mathnet  crossref  mathscinet  zmath  isi
15. Baskakov A. G., “Abstract harmonic analysis and asymptotic estimates for elements of inverse matrices”, Math. Notes, 52:2 (1992), 764–771  mathnet  crossref  mathscinet  zmath  isi
16. Baskakov A. G., “Asymptotic estimates for elements of matrices of inverse operators, and harmonic analysis”, Siberian Math. J., 38:1 (1997), 10–22  mathnet  crossref  mathscinet  zmath  isi
17. Baskakov A. G., “Estimates for the elements of inverse matrices, and the spectral analysis of linear operators”, Izv. Math., 61:6 (1997), 1113–1135  mathnet  crossref  crossref  mathscinet  zmath  isi
18. Baskakov A. G., “Theory of representations of Banach algebras, and abelian groups and semigroups in the spectral analysis of linear operators”, J. Math. Sci. (N.Y.), 137:4 (2006), 4885–5036  mathnet  mathnet  crossref  mathscinet  zmath
19. Baskakov A. G., Krishtal I. A., “Harmonic analysis of causal operators and their spectral properties”, Izv. Math., 69:3 (2005), 439–486  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
20. Kupcov N. P., “Direct and inverse theorems of approximation theory and semigroups of operators”, Uspehi Mat. Nauk, 23:4 (1968), 117–178  mathnet  mathscinet  zmath
21. Hille E., Phillips R. S., Functional analysis and semi-groups, AMS Colloquium Publications, 31, rev. ed., American Math. Soc., Providence, R.I., 1957  mathscinet  zmath
22. Zygmund A., Trigonometric series, v. 1, Cambridge Univ. Press, 1959, 615 pp.  mathscinet  mathscinet  zmath
23. Jackson D., Über die Genauigkeit der Annäherung stetiger Funktionen durch ganze rationale Funktionen gegebenen Grades und trigonometrische Summen gegebener Ordnung, Preisschrift und Dissertation, Universitat Gottingen, 1911


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