Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions

被引：4

作者：

Beneteau, Catherine ^{[1
]}

Condori, Alberto A. ^{[2
]}

Liaw, Constanze ^{[3
,4
]}

Ross, William T. ^{[5
]}

Sola, Alan A. ^{[1
]}

机构：

[1] Univ S Florida, Dept Math, 4202 E Fowler Ave,CMC342, Tampa, FL 33620 USA

[2] Florida Gulf Coast Univ, Dept Math, Ft Myers, FL 33965 USA

[3] Baylor Univ, CASPER, Waco, TX 76798 USA

[4] Baylor Univ, Dept Math, Waco, TX 76798 USA

[5] Univ Richmond, Dept Math & Comp Sci, Richmond, VA 23173 USA

来源：

RECENT PROGRESS ON OPERATOR THEORY AND APPROXIMATION IN SPACES OF ANALYTIC FUNCTIONS | 2016年 / 679卷

关键词：

Approximation in de Branges-Rovnyak spaces; inverse spectral problems; meromorphic inner functions; evolution equations; FBI transform; BRANGES-ROVNYAK SPACES; INVARIANT SUBSPACES; DIRICHLET SPACES;

D O I：

10.1090/conm/679/13678

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The following article reports on the contributions of Alexandru Aleman, Emmanuel Fricain, Alexei Poltoratski, and Rishika Rupam to the problem session at the Mittag-Leffer conference on Completeness problems, Carleson measures, and spaces of analytic functions, in July 2015. Problems considered included approximation in de Branges-Rovnyak spaces, inverse spectral problems for the Schrodinger operator, completeness of exponentials, meromorphic inner functions, and the analysis of evolution equations generated by quadratic differential operators on L-2(R-n).

引用

页码：207 / 217

页数：11

共 45 条

[1] RADIAL LIMITS AND INVARIANT SUBSPACES [J].

AHERN, PR ;

CLARK, DN .

AMERICAN JOURNAL OF MATHEMATICS, 1970, 92 (02) :332-&

[2]

Aleksandrov A. B., 1981, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), V113, P7

[3] Singular-Value Decomposition of Solution Operators to Model Evolution Equations [J].

Aleman, Alexandru ;

Viola, Joe .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2015, 2015 (17) :8275-8288

[4]

Aleman Alexandru, 2014, PREPRINT

[5]

Anderson J. M., 2006, MATHEMATIKA, V53, P161, DOI 10.1112/S0025579300000085

[6]

Baranov A. D., 2011, COMMUNICATION

[7] Direct and Reverse Carleson Measures for H (b) Spaces [J].

Blandigneres, Alain ;

Fricain, Emmanuel ;

Gaunard, Frederic ;

Hartmann, Andreas ;

Ross, William T. .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2015, 64 (04) :1027-1057

[8] Reverse Carleson embeddings for model spaces [J].

Blandigneres, Alain ;

Fricain, Emmanuel ;

Gaunard, Frederic ;

Hartmann, Andreas ;

Ross, William .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 88 :437-464

[9]

Chelkak D., 2009, ZAP NAUCHN SEM S PET, V370, p[203, 222, 118], DOI [10.1007/s10958-010-9850-z, DOI 10.1007/S10958-010-9850-Z]

[10]

Cima Joseph A., 2006, Mathematical Surveys and Monographs, V125

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