THE LEE-YANG AND POLYA-SCHUR PROGRAMS. III. ZERO-PRESERVERS ON BARGMANN-FOCK SPACES

被引：0

作者：

Branden, Petter ^{[1
]}

机构：

[1] Royal Inst Technol, Dept Math, SE-10044 Stockholm, Sweden

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2014年 / 136卷 / 01期

关键词：

SEQUENCES; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. This extends the characterization of linear operators on polynomials preserving stability (due to Borcea and the author) to the realm of entire functions, and translates into an optimal, albeit formal, Lee-Yang theorem.

引用

页码：241 / 253

页数：13

共 3 条

[1] The Lee-Yang and Polya-Schur Programs. II. Theory of Stable Polynomials and Applications
Borcea, Julius
Branden, Petter
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2009, 62 (12) : 1595 - 1631
[2] The Lee-Yang and Polya-Schur programs. I. Linear operators preserving stability
Borcea, Julius
Branden, Petter
INVENTIONES MATHEMATICAE, 2009, 177 (03) : 541 - 569
[3] The Lee-Yang and Pólya-Schur programs. I. Linear operators preserving stability
Julius Borcea
Petter Brändén
Inventiones mathematicae, 2009, 177

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