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检索条件"主题词=Modulation spaces"
207 条 记 录,以下是81-90 订阅
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Pseudodifferential operators with completely periodic symbols
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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 2023年 第3期14卷 1-18页
作者: Garello, Gianluca Morando, Alessandro Univ Turin Math Dept I-10123 Turin Italy Univ Brescia DICATAM Via Valotti 9 I-25133 Brescia Italy
Motivated by the recent paper of Boggiatto-Garello (J Pseudo-Differ Oper Appl 11:93-117, 2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p(x, ?) periodic on both the variables, we s... 详细信息
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Local well-posedness of VPFP in hybrid modulation-Lebesgue space
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JOURNAL OF DIFFERENTIAL EQUATIONS 2023年 第1期373卷 216-242页
作者: Chen, Jingchun He, Cong Univ Toledo Dept Math & Stat Toledo OH 43606 USA Univ Wisconsin Dept Math Sci Milwaukee WI 53211 USA
In this paper, we are concerned about the local well-posedness of Vlasov-Poisson-Fokker-Planck (VPFP) in modulation-Lebesgue space for large initial data. To accomplish this goal, we establish convolution inequalities... 详细信息
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Gabor products and a phase space approach to nonlinear analysis
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ANALYSIS AND APPLICATIONS 2023年 第6期21卷 1417-1446页
作者: Dias, Nuno Costa Prata, Joao Nuno Teofanov, Nenad Univ Lisbon Fac Ciencias Dept Matemat Grp Fıs Matemat Campo Grande Edifıcio C6 P-1749016 Lisbon Portugal Escola Super Naut Infante D Henrique Ave Engn Bonneville Franco P-2770058 Paco Darcos Portugal Univ Novi Sad Fac Sci Dept Math & Informat Trg D Obradov 4 Novi Sad 21000 Serbia
We introduce and study continuity properties of the Gabor product g and relate it to the well-known product formula for the short-time Fourier transform (STFT). We derive a phase space representation of the cubic nonl... 详细信息
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Phase space analysis of finite and infinite dimensional Fresnel integrals
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JOURNAL OF FUNCTIONAL ANALYSIS 2025年 第8期289卷
作者: Mazzucchi, Sonia Nicola, Fabio Trapasso, S. Ivan Univ Trento Dipartimento Matemat Via Sommar 14 I-38123 Povo Italy Politecn Torino Dipartimento Sci Matemat GL Lagrange Corso Duca Abruzzi 24 I-10129 Turin Italy
The full characterization of the class of Fresnel integrable functions is an open problem in functional analysis, with significant applications to mathematical physics (Feynman path integrals) and the analysis of the ... 详细信息
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Factorizations for quasi-Banach time-frequency spaces and Schatten classes
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INDAGATIONES MATHEMATICAE-NEW SERIES 2025年 第3期36卷 838-879页
作者: Bhimani, Divyang G. Toft, Joachim Indian Inst Sci Educ & Res Dept Math Pune India Linnaeus Univ Dept Math Vaxjo Sweden
We deduce factorization properties for Wiener amalgam spaces WLp,q, an extended family of modulation spaces M(omega, B), and for Schatten symbols s(p)(w) in pseudo-differential calculus under e. g. convolutions, twist... 详细信息
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Hans Georg Feichtinger: from abstract to numerical harmonic analysis
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SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS 2025年 第1期23卷 1-28页
作者: Groechenig, Karlheinz Univ Vienna Fac Math Oskar Morgenstern Pl 1 Vienna 1090 Austria
This article pays homage to the life and work of Hans Georg Feichtinger. It focusses on his major mathematical achievements and important professional aspects.
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Translation-modulation Invariant Banach spaces of Ultradistributions
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JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 2019年 第3期25卷 819-841页
作者: Dimovski, Pavel Pilipovic, Stevan Prangoski, Bojan Vindas, Jasson Univ Ss Cyril & Methodius Fac Technol & Met Ruger Boskovic 16 Skopje 1000 Macedonia Univ Novi Sad Dept Math & Informat Trg Dositeja Obradovica 4 Novi Sad 21000 Serbia Univ Ss Cyril & Methodius Fac Mech Engn Karpos 2 Bb Skopje 1000 Macedonia Univ Ghent Dept Math Krijgslaan 281 B-9000 Ghent Belgium
We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products;furthermore, they have a natural Bana... 详细信息
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Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2022年 58卷 85-123页
作者: Cordero, Elena Rodino, Luigi Univ Torino Dept Math Turin Italy
We perform Wigner analysis of linear operators. Namely, the standard time frequency representation Short-time Fourier Transform (STFT) is replaced by the A-Wigner distribution defined by W-A(f) = mu(A)(f circle times ... 详细信息
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On the existence of global solutions of the Hartree equation for initial data in the modulation space Mp(qR)
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JOURNAL OF DIFFERENTIAL EQUATIONS 2022年 317卷 70-88页
作者: Manna, Ramesh Natl Inst Sci Educ & Res OCC Homi Bhabha Natl Inst Sch Math Sci Bhubaneswar 752050 India
In this paper, we study the Cauchy problem for Hartree type equation iu(t) + u(xx) = [K * vertical bar u vertical bar(2)] with Cauchy data in modulation spaces Mp,q(R). We establish global well-posedness results in Mp... 详细信息
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Metaplectic Gabor frames and symplectic analysis of time-frequency spaces
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2024年 68卷
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 23 CH-1950 Sion Switzerland Lausanne Univ Hosp Rue Bugnon 46 CH-1011 Lausanne Switzerland Univ Lausanne 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 introduce new frames, called metaplectic Gabor frames, as natural generalizations of Gabor frames in the framework of metaplectic Wigner distributions, cf. [7,8,5,17,27,28]. Namely, we develop the theory of metaple... 详细信息
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