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检索条件"主题词=Modulation spaces"
207 条 记 录,以下是131-140 订阅
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Time-frequency analysis of pseudodifferential operators
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MONATSHEFTE FUR MATHEMATIK 2001年 第2期133卷 143-156页
作者: Labate, D Georgia Inst Technol Sch Math Atlanta GA 30332 USA
In this paper we apply a time-frequency approach to the study of pseudodifferential operators. Both the Weyl and the Kohn-Nirenberg correspondences are considered. In order to quantify the time-frequency content of a ... 详细信息
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Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 2023年 第1期14卷 1-26页
作者: Cordero, Elena Giacchi, Gianluca Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy Univ Bologna Dipartimento Matemat Piazza Porta San Donato 5 I-40126 Bologna Italy Lausanne Univ Hosp Dept Diagnost & Intervent Radiol Rue Bugnon 46 CH-1011 Lausanne Switzerland Univ Lausanne Rue Bugnon 46 CH-1011 Lausanne Switzerland HES SO Valais Wallis Inst Syst Engn Sch Engn Rue Ind 21 CH-1950 Sion Switzerland Sense Innovat & Res Ctr Ave Provence 82 CH-1007 Lausanne Switzerland Sense Innovat & Res Ctr Ch Agasse 5 CH-1950 Sion Switzerland
We generalize the results for Banach algebras of pseudodifferential operators obtained by Grochenig and Rzeszotnik (Ann Inst Fourier 58:2279-2314, 2008) to quasi-algebras of Fourier integral operators. Namely, we intr... 详细信息
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Sampling of Operators
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JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 2013年 第3期19卷 612-650页
作者: Pfander, Goetz E. Jacobs Univ Bremen Sch Engn & Sci D-28759 Bremen Germany
Sampling and reconstruction of functions is a fundamental tool in science. We develop an analogous sampling theory for operators whose Kohn-Nirenberg symbols are bandlimited. We prove sampling theorems for in this sen... 详细信息
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Time-frequency analysis of Born-Jordan pseudodifferential operators
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JOURNAL OF FUNCTIONAL ANALYSIS 2017年 第2期272卷 577-598页
作者: Cordero, Elena de Gosson, Maurice Nicola, Fabio 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
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 s... 详细信息
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An extension of localization operators
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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 2024年 第1期15卷 12-12页
作者: Boggiatto, Paolo Garello, Gianluca Univ Torino Dept Math Via Carlo Alberto 10 I-10123 Turin Italy
We review at first the role of localization operators as a meeting point of three different areas of research, namely: signal analysis, quantization and pseudo-differential operators. We extend then the correspondence... 详细信息
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Symplectic analysis of time-frequency spaces
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JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 2023年 第1期177卷 154-177页
作者: Cordero, Elena Giacchi, Gianluca Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy Univ Bologna Dipartimento Matemat Piazza Porta San Donato 5 I-40126 Bologna Italy HES SO Valais Wallis Inst Syst Engn Sch Engn Rue Ind 21 CH-1950 Sion Switzerland Lausanne Univ Hosp Rue Bugnon 46 CH-1011 Lausanne Switzerland Univ Lausanne Dept Diagnost & Intervent Radiol Rue Bugnon 46 CH-1011 Lausanne Switzerland Sense Innovat & Res Ctr Ave Provence 82 CH-1007 Lausanne Switzerland
We present a different symplectic point of view in the definition of weighted modulation spaces Mmp,q (Rd) and weighted Wiener amalgam spaces W (FLpm1, Lqm2 )(Rd). All the classical time-frequency representations, suc... 详细信息
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Decay and smoothness for eigenfunctions of localization operators
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2020年 第2期492卷 124480-124480页
作者: Bastianoni, Federico Cordero, Elena Nicola, Fabio Politecn Torino Dipartimento Sci Matemat Corso Duca Abruzzi 24 I-10129 Turin Italy Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy
We study decay and smoothness properties for eigenfunctions of compact localization operators A(a)(phi 1,phi 2). Operators A(a)(phi 1,phi 2) with symbols a in the wide modulation space M-p,M-infinity (containing the L... 详细信息
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Coorbit spaces and Banach frames on homogeneous spaces with applications to the sphere
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ADVANCES IN COMPUTATIONAL MATHEMATICS 2004年 第1-2期21卷 147-180页
作者: Dahlke, S Steidl, G Teschke, G Univ Marburg Fachbereich Math & Informat D-35032 Marburg Germany Univ Mannheim Fak Math & Informat D-68131 Mannheim Germany Univ Bremen Fachbereich 3 D-28334 Bremen Germany
This paper is concerned with the construction of generalized Banach frames on homogeneous spaces. The major tool is a unitary group representation which is square integrable modulo a certain subgroup. By means of this... 详细信息
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Algebras of symbols associated with the Weyl calculus for Lie group representations
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MONATSHEFTE FUR MATHEMATIK 2012年 第1期167卷 13-33页
作者: Beltita, Ingrid Beltita, Daniel Romanian Acad Sim Stoilow Inst Math Res Unit 1 Bucharest Romania
We develop our earlier approach to the Weyl calculus for representations of infinite-dimensional Lie groups by establishing continuity properties of the Moyal product for symbols belonging to various modulation spaces... 详细信息
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NLS in the modulation Space M2,q(R)
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JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 2019年 第4期25卷 1447-1486页
作者: Pattakos, N. Karlsruhe Inst Technol Inst Anal Dept Math D-76128 Karlsruhe Germany
We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrodinger equation in the modulation space Ms2, q ( R), 1 = q = 2 and s = 0. In addition, for either s = 0 ... 详细信息
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