Extension of weighted positive-definite functions. One-dimensional case

被引：0

作者：

Drouiche, K ^{[1
]}

Seghier, A

机构：

[1] Univ Cergy Pontoise, LPTM, CNRS 8089, F-95301 Neuville Sur Oise, France

[2] Univ Paris 11, F-91405 Orsay, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2001年 / 332卷 / 03期

关键词：

D O I：

10.1016/S0764-4442(00)01827-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a necessary and sufficient condition for extension of positive-definite functions maximizing a concave functional (entropy). For specific functional (m-weighed extension) this condition is expressed in terms of reflections coefficients and the weighs m, moreover the optimal solution is provided. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：201 / 204

页数：4

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