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

[41] Spectral stability estimates for the eigenfunctions of second order elliptic operators
Burenkov, Victor I.
Feleqi, Ermal
MATHEMATISCHE NACHRICHTEN, 2012, 285 (11-12) : 1357 - 1369
[42] Quantitative approximation theorems for elliptic operators
Bagby, T
Bos, L
Levenberg, N
JOURNAL OF APPROXIMATION THEORY, 1996, 85 (01) : 69 - 87
[43] Linear fractional differential equations and eigenfunctions of fractional differential operators
Eliana Contharteze Grigoletto
Edmundo Capelas de Oliveira
Rubens de Figueiredo Camargo
Computational and Applied Mathematics, 2018, 37 : 1012 - 1026
[44] Linear fractional differential equations and eigenfunctions of fractional differential operators
Grigoletto, Eliana Contharteze
de Oliveira, Edmundo Capelas
Camargo, Rubens de Figueiredo
COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (02): : 1012 - 1026
[45] ELLIPTIC DIFFERENTIAL OPERATORS AND SPLINES
SCHLOGLMANN, W
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1978, 58 (07): : T438 - T439
[46] ON THE EIGENFUNCTIONS AND EIGENVALUES OF THE GENERAL LINEAR ELLIPTIC DIFFERENTIAL OPERATOR
BROWDER, FE
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1953, 39 (05) : 433 - 439
[47] Differential operators for elliptic genera
Gaberdiel, Matthias R.
Keller, Christoph A.
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2009, 3 (04) : 593 - 618
[48] Pseudo differential operators with analytic symbols and estimates for eigenfunctions of Schrodinger operators
Rabinovich, V
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (02): : 351 - 370
[49] APPROXIMATION WITH LINEAR-COMBINATIONS OF FUNDAMENTAL-SOLUTIONS OF ELLIPTIC DIFFERENTIAL-OPERATORS
HAMANN, U
MATHEMATISCHE NACHRICHTEN, 1991, 154 : 265 - 284
[50] Differential operators having symmetric orthogonal polynomials as eigenfunctions
Bavinck, H
Koekoek, J
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 106 (02) : 369 - 393

← 1 2 3 4 5 →