The Wigner global wave front set in spaces of tempered ultradistributions

被引：3

作者：

Asensio, Vicente ^{[1
,2
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Camino Vera S-N, Valencia 46071, Spain

[2] Ctr Univ EDEM, Muelle Marina S-N, Valencia 46024, Spain

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2023年 / 14卷 / 02期

关键词：

Global wave front set; t-Wigner transform; Global ultradifferentiable classes; Gabor frames; PARTIAL-DIFFERENTIAL OPERATORS; PROPAGATION;

D O I：

10.1007/s11868-023-00523-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce and study global wave front sets in terms of the t-Wigner transform in global ultradifferentiable classes of Beurling type modulated with weight functions in the sense of Braun, Meise, and Taylor, and we compare it with other wave front sets existing in the literature defined by different time-frequency analysis tools, such as the short-time Fourier transform or Gabor frames. Conditions for the equality of these wave front sets are provided and some examples are given.

引用

页数：21

共 28 条

[1] Quantizations and Global Hypoellipticity for Pseudodifferential Operators of Infinite Order in Classes of Ultradifferentiable Functions [J].