Characterisation of the Weyl-Hormander classes by time-frequency shifts

被引：0
|
作者：
Pilipovic, Stevan [1 ]
Prangoski, Bojan [2 ]
机构：
[1] Univ Novi Sad, Dept Math & Informat, Trg Dositeja Obradovica 4, Novi Sad 21000, Serbia
[2] Ss Cyril & Methodius Univ Skopje, Fac Mech Engn Skopje, Dept Math, Karposh 2 Bb, Skopje 1000, North Macedonia
来源：
ADVANCES IN MATHEMATICS | 2022年 / 410卷
基金：
奥地利科学基金会;
关键词：
Weyl-H?rmander classes; H?rmander metric; Pseudo-differential operators; Almost diagonalisation of pseudo-differential operators; PSEUDODIFFERENTIAL-OPERATORS; CONTINUITY PROPERTIES; MODULATION SPACES; CALCULUS; SYMBOLS;
D O I：
10.1016/j.aim.2022.108742
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterise the Weyl-Hormander symbol classes S(M, g) via the growth of the action of the corresponding Psi DOs on time-frequency shifts of a single test function. For this pur-pose, we introduce a geometric short-time Fourier transform which is well-suited for the analysis of S(M, g). We define new modulation spaces and achieve the characterisation of the Weyl-Hormander classes by showing that they are in-tersections of such modulation spaces suitable for the time -frequency characterisation.(c) 2022 Elsevier Inc. All rights reserved.
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页数：57
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