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作者机构:Univ Turin Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy Univ Vienna Fac Math Oskar Morgenstern Pl 1 A-1090 Vienna Austria Politecn Torino Dipartimento Sci Matemat Corso Duca Abruzzi 24 I-10129 Turin Italy
出 版 物:《JOURNAL OF FUNCTIONAL ANALYSIS》 (函数分析杂志)
年 卷 期:2017年第272卷第2期
页 面:577-598页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:Italian Local Project "Analisi di Fourier per equazioni alle derivate parziali ed operatori pseudo-differenziali" - University of Torino FWF grant [P 2773] Austrian Science Fund (FWF) [P27773] Funding Source: Austrian Science Fund (FWF)
主 题:Time-frequency analysis Wigner distribution Born-Jordan distribution Modulation spaces
摘 要:Born-Jordan operators are a class of pseudodifferential operators arising as a generalization of the quantization rule for polynomials on the phase space introduced by Born and Jordan in 1925. The weak definition of such operators involves the Born-Jordan distribution, first introduced by Cohen in 1966 as a member of the Cohen class. We perform a time frequency analysis of the Cohen kernel of the Born-Jordan distribution, using modulation and Wiener amalgam spaces. We then provide sufficient and necessary conditions for Born Jordan operators to be bounded on modulation spaces. We use modulation spaces as appropriate symbols classes. (C) 2016 Elsevier Inc. All rights reserved.