HARMONIC-FUNCTIONS FOR A TRANSITION OPERATOR AND APPLICATIONS

被引：50

作者：

CONZE, JP ^{[1
]}

RAUGI, A ^{[1
]}

机构：

[1] UNIV RENNES 1,PROBABIL LAB,F-35042 RENNES,FRANCE

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1990年 / 118卷 / 03期

关键词：

D O I：

10.24033/bsmf.2148

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let u be a continuous non-negative function, defined on [0, 1], such that u(x) + u(x + 1/2) = 1, FOR-ALL x is-a-member-of 0, 1/2] and P(u) be the transition operator defined by P(u)f(x) = u(x/2)f(x/2) + u(x/2 + 1/2)f(x/2 + 1/2), f continuous on [0, 1]. We study the asymptotic behaviour of the iterates (P(u)n, n is-a-member-of N), and give some applications to functional equations, wavelet theory and filtering.

引用

页码：273 / 310

页数：38

共 12 条

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COHEN A, 1989, ONDELETTES ANAL MULT

[2] ORTHONORMAL BASES OF COMPACTLY SUPPORTED WAVELETS [J].