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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 102(144), Number 1, Pages 33–55 (Mi sm2634)

This article is cited in 6 papers

On the Riesz means of expansion in eigenfunctions and associated functions of a nonselfadjoint ordinary differntial operator

V. V. Tikhomirov


Abstract: For any function $f(x)\in L_1$, the connection between the Riesz means of expansions of $f(x)$ in a trigonometric series and in a biorthogonal series in the eigenfunctions and associated functions of a nonselfadjoint differential operator of order $2n$ is studied.
Bibliography: 6 titles.

UDC: 517.941.9

MSC: Primary 40G05; Secondary 47E05, 47A70

Received: 03.07.1975


 English version:
Mathematics of the USSR-Sbornik, 1977, 31:1, 29–48

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© Steklov Math. Inst. of RAS, 2026