Orthogonal harmonic analysis and scaling of fractal measures

被引：2

作者：

Jorgensen, PET ^{[1
]}

Pedersen, S

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Wright State Univ, Dept Math, Dayton, OH 45435 USA

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 03期

关键词：

D O I：

10.1016/S0764-4442(97)82984-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that certain iteration systems lead to fractal measures admitting exact orthogonal harmonic analysis.

引用

页码：301 / 306

页数：6

共 16 条

[1]

BJORCK G, 1995, CR ACAD SCI I-MATH, V320, P319

[2] ON 1ST ORDER PARTIAL-DIFFERENTIAL OPERATORS ON BOUNDED REGIONS OF THE PLANE [J].

FRIEDRICH, J .

MATHEMATISCHE NACHRICHTEN, 1987, 131 :33-47

[3]

Fuglede B., 1974, Journal of Functional Analysis, V16, P101, DOI 10.1016/0022-1236(74)90072-X

[4]

HAAGERUP U, 1995, ORTHOGONAL MAXIMAL A

[5]

Jorgensen PET, 1996, CONSTR APPROX, V12, P1

[6] SPECTRAL THEORY OF FINITE VOLUME DOMAINS IN RN [J].

JORGENSEN, PET .

ADVANCES IN MATHEMATICS, 1982, 44 (02) :105-120

[7] SPECTRAL THEORY FOR BOREL SETS IN RN OF FINITE MEASURE [J].

JORGENSEN, PET ;

PEDERSEN, S .

JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 107 (01) :72-104

[8]

JORGENSEN PET, 1997, DENSE ANAL SUBSPACES

[9]

JORGENSEN PET, 1997, SPECTRAL PAIRS CARTE

[10] Structure of tilings of the line by a function [J].

Kolountzakis, MN ;

Lagarias, JC .

DUKE MATHEMATICAL JOURNAL, 1996, 82 (03) :653-678

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