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

 Trudy MIAN: Year: Volume: Issue: Page: Find

 Tr. Mat. Inst. Steklova, 1997, Volume 219, Pages 211–219 (Mi tm615)

One More Generalization of Bessel's Inequality and Riesz–Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems

V. A. Il'in

Full text: PDF file (1092 kB)

English version:
Proceedings of the Steklov Institute of Mathematics, 1997, 219, 205–214

Bibliographic databases:
UDC: 517.984.5

Citation: V. A. Il'in, “One More Generalization of Bessel's Inequality and Riesz–Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems”, Approximation theory. Harmonic analysis, Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin, Tr. Mat. Inst. Steklova, 219, Nauka, MAIK «Nauka», M., 1997, 211–219; Proc. Steklov Inst. Math., 219 (1997), 205–214

Citation in format AMSBIB
\Bibitem{Ili97} \by V.~A.~Il'in \paper One More Generalization of Bessel's Inequality and Riesz--Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems \inbook Approximation theory. Harmonic analysis \bookinfo Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin \serial Tr. Mat. Inst. Steklova \yr 1997 \vol 219 \pages 211--219 \publ Nauka, MAIK «Nauka» \publaddr M. \mathnet{http://mi.mathnet.ru/tm615} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1642327} \zmath{https://zbmath.org/?q=an:0918.42022} \transl \jour Proc. Steklov Inst. Math. \yr 1997 \vol 219 \pages 205--214 

• http://mi.mathnet.ru/eng/tm615
• http://mi.mathnet.ru/eng/tm/v219/p211

 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. Gavrilov V.V., “An analog of the Riesz–Fischer theorem for the Fourier transform corresponding to a one–dimensional Schrodinger operator with measurable bounded potential”, Differential Equations, 33:8 (1997), 1022–1027
2. Il'in V.A., “on a Generalization of Bessel'S Inequality and the Riesz-Fischer Theorem To the Case of Expansions of Functions in l (P) With P Not Equal 2 in Eigenfunctions of the Laplace Operator on An Arbitrary N-Dimensional Domain”, Dokl. Math., 90:1 (2014), 407–411