Wavelets in Banach Spaces

被引：0
作者：
Vladimir V. Kisil
机构：
[1] University of Leeds,Department of Pure Mathematics
来源：
Acta Applicandae Mathematica | 1999年 / 59卷
关键词：
wavelets; coherent states; Banach spaces; group representations; covariant; contravariant (Wick) symbols; Heisenberg group; Segal–Bargmann spaces; Weyl functional calculus (quantization); second quantization; bosonic field;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe a construction of wavelets (coherent states) in Banach spaces generated by ‘admissible’ group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example, we consider operator-valued Segal–Bargmann-type spaces and the Weyl functional calculus.
引用
收藏
页码：79 / 109
页数：30
相关论文
共 50 条
[41]   On the projection dynamical systems in Banach spaces [J].
Alber, Ya. I. ;
Yao, Jen-Chih .
TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03) :819-847
[42]   On (a, B, c)-ideals in Banach spaces [J].
Niglas, Ksenia ;
Zolk, Indrek .
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2014, 18 (01) :107-117
[43]   The Integrating Factor Method in Banach Spaces [J].
Alvarez, Josefina ;
Espinoza-Villalva, Carolina ;
Guzman-Partida, Martha .
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2018, 11 (01) :115-132
[44]   On the Lagrange multiplier theorem in Banach spaces [J].
Botelho, Fabio .
COMPUTATIONAL & APPLIED MATHEMATICS, 2013, 32 (01) :135-144
[45]   Strongly Irreducible Operators on Banach Spaces [J].
Yun Nan ZHANG ;
Huai Jie ZHONG .
Acta Mathematica Sinica,English Series, 2012, (04) :727-740
[46]   CONVERGENCE OF DIRICHLET POLYNOMIALS IN BANACH SPACES [J].
Defant, Andreas ;
Sevilla Peris, Pablo .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 363 (02) :681-697
[47]   On the classes of hereditarily ℓp Banach spaces [J].
P. Azimi ;
A. A. Ledari .
Czechoslovak Mathematical Journal, 2006, 56 :1001-1009
[48]   Measures of weak noncompactness in Banach spaces [J].
Angosto, C. ;
Cascales, B. .
TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (07) :1412-1421
[49]   A note on holomorphic approximation in Banach spaces [J].
László Lempert .
Periodica Mathematica Hungarica, 2008, 56 :241-245
[50]   POLISH SPACES OF BANACH SPACES: COMPLEXITY OF ISOMETRY AND ISOMORPHISM CLASSES [J].
Cuth, Marek ;
Dolezal, Martin ;
Doucha, Michal ;
Kurka, Ondrej .
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2024, 23 (04) :1919-1957
12345