RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Sb.: Year: Volume: Issue: Page: Find

 Mat. Sb. (N.S.), 1977, Volume 102(144), Number 1, Pages 33–55 (Mi msb2634)

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.

Full text: PDF file (1755 kB)
References: PDF file   HTML file

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

Bibliographic databases:

UDC: 517.941.9
MSC: Primary 40G05; Secondary 47E05, 47A70

Citation: V. V. Tikhomirov, “On the Riesz means of expansion in eigenfunctions and associated functions of a nonselfadjoint ordinary differntial operator”, Mat. Sb. (N.S.), 102(144):1 (1977), 33–55; Math. USSR-Sb., 31:1 (1977), 29–48

Citation in format AMSBIB
\Bibitem{Tik77} \by V.~V.~Tikhomirov \paper On the Riesz means of expansion in eigenfunctions and associated functions of a~nonselfadjoint ordinary differntial operator \jour Mat. Sb. (N.S.) \yr 1977 \vol 102(144) \issue 1 \pages 33--55 \mathnet{http://mi.mathnet.ru/msb2634} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=500296} \zmath{https://zbmath.org/?q=an:0348.47030|0388.47027} \transl \jour Math. USSR-Sb. \yr 1977 \vol 31 \issue 1 \pages 29--48 \crossref{https://doi.org/10.1070/SM1977v031n01ABEH002455} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1977FV43600003} 

• http://mi.mathnet.ru/eng/msb2634
• http://mi.mathnet.ru/eng/msb/v144/i1/p33

 SHARE:

Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Gurevich A. Khromov A., “Riesz Summability of Spectral Expansions for a Class of Integral Operators”, Differ. Equ., 37:6 (2001), 849–855
2. A. P. Gurevich, A. P. Khromov, “Riesz summability of spectral expansions for finite-dimensional perturbations of a class of integral operators”, Russian Math. (Iz. VUZ), 45:8 (2001), 36–48
3. Gurevich A. Khromov A., “On the Riesz Summability of Eigenfunction Expansions of Integral Operators in the Space C-Alpha[0,1]”, Dokl. Math., 66:2 (2002), 237–240
4. A. P. Gurevich, A. P. Khromov, “Riesz summability of expansions in eigenfunctions of integral operators”, Russian Math. (Iz. VUZ), 47:2 (2003), 22–33
•  Number of views: This page: 195 Full text: 87 References: 18