This is a preview of subscription content, log in via an institution to check access.
Literature cited
D. E. Men'shov, “Uniform convergence of Fourier series,” Mat. Sb., Nos. 1–2, 67–96 (1942).
C. Goffman and D. Waterman, “Some aspects of Fourier series,” Am. Math. Mon.,77, No. 2, 119–133 (1970).
S. V. Krushchev, “Men'shov's theorem on revision and Gaussian processes,” Tr. Mat. Inst. Akad. Nauk SSSR, “Spectral theory of functions and operators. II,” Nauka, Leningrad Section,155 (1981), pp. 151–181.
F. G. Arutyunyan, “Representation of functions by multiple series,” Dokl. Akad. Nauk Arm. SSR,64, No. 2, 72–76 (1977).
J. Price, “Walsh series and adjustment of functions on small sets,” I11. J. Math.,13, 131–136 (1969).
A. A. Talalyan, “Approximation properties of some incomplete systems,” Mat. Sb.,115, No. 4, 499–531 (1981).
A. Garsia, “Existence of almost everywhere convergent rearrangements for Fourier series of L2 functions,” Ann. Math.,79, 623–629 (1964).
A. M. Olevskii, Fourier Series with Respect to General Orthogonal Systems, Springer-Verlag, Heidelberg (1975).
A. A. Talalyan, “Complete systems of unconditional convergence in the weak sense,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, No. 3, 713–720 (1964).
S. Kaczmarz and H. Steinhaus, Theory of Orthogonal Series [in German], Chelsea Publ.
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 33, No. 5, pp. 715–722, May, 1983.
Rights and permissions
About this article
Cite this article
Talalyan, A.A. Dependence of convergence of orthogonal series on changes of values of the function expanded. Mathematical Notes of the Academy of Sciences of the USSR 33, 368–372 (1983). https://doi.org/10.1007/BF01158284
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158284