Interpolation in Bernstein and Paley-Wiener spaces

被引：12

作者：

Olevskii, Alexander ^{[2
]}

Ulanovskii, Alexander ^{[1
]}

机构：

[1] Stavanger Univ, N-4036 Stavanger, Norway

[2] Tel Aviv Univ, Sch Math, IL-69978 Tel Aviv, Israel

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2009年 / 256卷 / 10期

基金：

以色列科学基金会;

关键词：

Paley-Wiener space; Bernstein space; Set of interpolation; Uniform minimality of exponential systems; BAND-LIMITED SIGNALS;

D O I：

10.1016/j.jfa.2008.09.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider interpolation of discrete functions by continuous ones with restriction on the size of spectra. Vie discuss a sharp contrast between the cases of compact and unbounded spectra. In particular we construct 'universal' spectra of small measure which deliver positive solution of the interpolation problem in Bernstein spaces for every discrete sequence of knots. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：3257 / 3278

页数：22

共 50 条

[1] Fractional Paley-Wiener and Bernstein spaces
Monguzzi, Alessandro
Peloso, Marco M.
Salvatori, Maura
[J]. COLLECTANEA MATHEMATICA, 2021, 72 (03) : 615 - 643
[2] Minimality and (weighted) interpolation in Paley-Wiener spaces
Gaunard, Frederic
[J]. ARCHIV DER MATHEMATIK, 2014, 102 (04) : 379 - 389
[3] Hardy, Paley-Wiener and Bernstein spaces in Clifford analysis
Franklin, D. J.
Hogan, J. A.
Larkin, K. G.
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (09) : 1314 - 1328
[4] Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Bailey, B. A.
[J]. JOURNAL OF APPROXIMATION THEORY, 2012, 164 (04) : 460 - 487
[5] Interpolation of functions from generalized Paley-Wiener spaces
Lyubarskii, Y
Madych, WR
[J]. JOURNAL OF APPROXIMATION THEORY, 2005, 133 (02) : 251 - 268
[6] Interpolation by weighted Paley-Wiener spaces associated with the Dunkl transform
Dai, Feng
Wang, Heping
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 390 (02) : 556 - 572
[7] Weighted Paley-Wiener spaces
Lyubarskii, YI
Seip, K
[J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 15 (04) : 979 - 1006
[8] Weighted interpolation in Paley-Wiener spaces and finite-time controllability
Jacob, Birgit
Partington, Jonathan R.
Pott, Sandra
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (09) : 2424 - 2436
[9] Sampling and Interpolation Problems for Vector Valued Signals in the Paley-Wiener Spaces
Avdonin, Sergel A.
Ivanov, Sergei A.
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2008, 56 (11) : 5435 - 5441
[10] The Paley-Wiener theorem for spaces of sequences
Napalkov, VV
Zaitseva, AV
[J]. DOKLADY MATHEMATICS, 2000, 62 (02) : 180 - 182

← 1 2 3 4 5 →