Thin sets of integers in harmonic analysis and p-stable random fourier series

被引：0

作者：

Pascal Lefèvre

Daniel Li

Hervé Queffélec

Luis Rodríguez-Piazza

机构：

[1] Univ. Lille Nord de France U-Artois,Fédération CNRS Nord

[2] Laboratoire de Mathématiques de Lens EA 2462,Pas

[3] Univ Lille Nord de France,de

[4] Universidad de Sevilla,Calais FR 2956 Faculté Jean Perrin

来源：

Journal d'Analyse Mathématique | 2011年 / 115卷

关键词：

Trigonometric Polynomial; Orlicz Space; Orlicz Function; Mesh Condition; Gaussian Norm;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the behaviour of some thin sets of integers defined through random trigonometric polynomials when one replaces Gaussian or Rademacher variables with p-stable ones, 1 < p < 2. We show that in one case, this behaviour is essentially the same as in the Gaussian case, whereas in another case, it is entirely different.

引用

页码：187 / 211

页数：24

共 50 条

[1] THIN SETS OF INTEGERS IN HARMONIC ANALYSIS AND p-STABLE RANDOM FOURIER SERIES
Lefevre, P.
Li, D.
Queffelec, H.
Rodriguez-Piazza, L.
JOURNAL D ANALYSE MATHEMATIQUE, 2011, 115 : 187 - 211
[2] Some new thin sets of integers in harmonic analysis
D. Li
H. Queffélec
L. Rodríguez-Piazza
Journal d’Analyse Mathématique, 2002, 86 : 105 - 138
[3] Some new thin sets of integers in harmonic analysis
Li, D
Queffélec, H
Rodríguez-Piazza, L
JOURNAL D ANALYSE MATHEMATIQUE, 2002, 86 (1): : 105 - 138
[4] CHARACTERIZATION AND DOMAINS OF ATTRACTION OF P-STABLE RANDOM COMPACT-SETS
GINE, E
HAHN, MG
ANNALS OF PROBABILITY, 1985, 13 (02): : 447 - 468
[5] CHARACTERIZATIONS OF ALMOST SURELY CONTINUOUS P-STABLE RANDOM FOURIER-SERIES AND STRONGLY STATIONARY-PROCESSES
MARCUS, MB
PISIER, G
ACTA MATHEMATICA, 1984, 152 (3-4) : 245 - 301
[6] On some random thin sets of integers
Li, Daniel
Queffelec, Herve
Rodriguez-Piazza, Luis
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (01) : 141 - 150
[7] Convergence of p-Stable Random Fractional Wavelet Series and Some of Its Properties
Medina, Juan Miguel
Ruben Dobarro, Fernando
Cernuschi-Frias, Bruno
IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (09) : 5866 - 5874
[8] More on P-Stable Convex Sets in Banach Spaces
Yu. Davydov
V. Paulauskas
A. Račkauskas
Journal of Theoretical Probability, 2000, 13 : 39 - 64
[9] More on P-stable convex sets in Banach spaces
Davydou, Y
Paulauskas, V
Rackauskas, A
JOURNAL OF THEORETICAL PROBABILITY, 2000, 13 (01) : 39 - 64
[10] FOURIER SERIES ON P-ADIC INTEGERS
CHANEY, RW
DUKE MATHEMATICAL JOURNAL, 1971, 38 (02) : 387 - &

← 1 2 3 4 5 →