On Non Topological Solutions Of The A2 And B2 Chern Simons System
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On Non-Topological Solutions of the $A_{2}$ and $B_{2}$ Chern-Simons System
Author: Weiwei Ao
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-01-25
Click here to view the abstract. IntroductionProof of Theorem 1.1 in the caseProof of Theorem 1.1 in the caseAppendixBibliography
The $abc$-Problem for Gabor Systems
Author: Xin-Rong Dai
language: en
Publisher: American Mathematical Soc.
Release Date: 2016-10-05
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices aZ×bZ and ideal window functions χI on intervals I of length c such that {e−2πinbtχI(t−ma): (m,n)∈Z×Z} are Gabor frames for the space of all square-integrable functions on the real line. In this paper, the authors create a time-domain approach for Gabor frames, introduce novel techniques involving invariant sets of non-contractive and non-measure-preserving transformations on the line, and provide a complete answer to the above abc-problem for Gabor systems.