Approximation of eigenfunctions of elliptic differential operators

被引：0

作者：

Colzani, L ^{[1
]}

Masiero, F ^{[1
]}

机构：

[1] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy

来源：

JOURNAL OF APPROXIMATION THEORY | 2003年 / 123卷 / 01期

关键词：

eigenfunction expansions; Bernstein and Jackson theorems;

D O I：

10.1016/S0021-9045(03)00068-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Eigenfunctions of elliptic boundary value problems can be well approximated by entire functions of exponential type and, as a consequence, it is possible to transfer approximation results with entire functions to eigenfunction expansions. Here, in particular, we consider Jackson and Bernstein type theorems. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：13 / 24

页数：12

共 50 条

[21] PROPERTIES OF EIGENFUNCTIONS OF SOME SINGULAR ELLIPTIC-OPERATORS
LARIN, AA
DIFFERENTIAL EQUATIONS, 1991, 27 (05) : 595 - 601
[22] Construction of Eigenfunctions for the Elliptic Ruijs']jsenaars Difference Operators
Langmann, Edwin
Noumi, Masatoshi
Shiraishi, Junichi
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 391 (03) : 901 - 950
[23] Estimates for eigenfunctions of elliptic operators with respect to the spectral parameter
V. Ya. Yakubov
Functional Analysis and Its Applications, 1999, 33 : 128 - 136
[24] Estimates for eigenfunctions of elliptic operators with respect to the spectral parameter
Yakubov, VY
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1999, 33 (02) : 128 - 136
[25] GENERALIZATION OF A THEOREM DUE TO TRIEBEL,H CONCERNING DECAY PROPERTIES OF EIGENFUNCTIONS OF SINGULAR ELLIPTIC DIFFERENTIAL OPERATORS
KNIEPERT, D
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1970, 37 (01) : 61 - &
[26] Analysis of periodic Schrodinger operators: Regularity and approximation of eigenfunctions
Hunsicker, Eugenie
Nistor, Victor
Sofo, Jorge O.
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (08)
[27] Estimates of eigenfunctions and localization of the spectrum of differential operators
Shuster, LA
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 229 (02) : 363 - 375
[28] EXPANSIONS IN EIGENFUNCTIONS OF SOME SINGULAR DIFFERENTIAL OPERATORS
KIPRIIANOVA, NI
DOKLADY AKADEMII NAUK SSSR, 1976, 231 (02): : 281 - 284
[29] Bases of eigenfunctions of two discontinuous differential operators
Bilalov, B. T.
Veliev, S. G.
DIFFERENTIAL EQUATIONS, 2006, 42 (10) : 1503 - 1506
[30] ON THE ZEROS OF EIGENFUNCTIONS OF POLYNOMIAL DIFFERENTIAL-OPERATORS
BUENDIA, E
DEHESA, JS
SANCHEZBUENDIA, MA
JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (11) : 2729 - 2736

← 1 2 3 4 5 →