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检索条件"主题词=Modulation spaces"
207 条 记 录,以下是31-40 订阅
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α-modulation spaces for Step Two Stratified Lie Groups
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JOURNAL OF GEOMETRIC ANALYSIS 2022年 第2期32卷 45-45页
作者: Berge, Eirik Norwegian Univ Sci & Technol Dept Math Sci N-7491 Trondheim Norway
We define and investigate a-modulation spaces M-p,q(s,alpha) (G) associated to a step two stratified Lie group G with rational structure constants. This is an extension of the Euclidean alpha-modulation spaces M-p,q(s... 详细信息
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A characterization of modulation spaces by symplectic rotations
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JOURNAL OF FUNCTIONAL ANALYSIS 2020年 第11期278卷 108474-108474页
作者: Cordero, Elena de Gosson, Maurice Nicola, Fabio Univ Torino 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
This note contains a new characterization of modulation spaces M-m(p )(R-n), 1 <= p <= infinity, by symplectic rotations. Precisely, instead to measure the time-frequency content of a function by using translati... 详细信息
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Nonlinear operations on a class of modulation spaces
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JOURNAL OF FUNCTIONAL ANALYSIS 2020年 第9期278卷 108447-108447页
作者: Kato, Tomoya Sugimoto, Mitsuru Tomita, Naohito Osaka Univ Grad Sch Sci Dept Math Toyonaka Osaka 5600043 Japan Nagoya Univ Grad Sch Math Chikusa Ku Nagoya Aichi 4648602 Japan Gunma Univ Fac Sci & Technol Div Pure & Appl Sci Kiryu Gunma 3768515 Japan
We discuss when the nonlinear operation f -> F(f) maps the modulation space M-s(pg) (R-n) (1 n = n/q, hence it is true for this space if F is entire. We claim that it is still true for non-analytic F when q >= ... 详细信息
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Existence Theory for the Boussinesq Equation in modulation spaces
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BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY 2020年 第4期51卷 1057-1082页
作者: Banquet, Carlos Villamizar-Roa, Elder J. Univ Cordoba Dept Matemat & Estadist Monteria 354 Colombia Univ Ind Santander Escuela Matemat Bucaramanga 678 Colombia
In this paper we study the Cauchy problem for the generalized Boussinesq equation with initial data in modulation spaces M-p',q(s) (R-n), n >= 1. After a decomposition of the Boussinesq equation in a 2 x 2-nonl... 详细信息
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The Hartree-Fock equations in modulation spaces
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COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 2020年 第9期45卷 1088-1117页
作者: Bhimani, Divyang G. Grillakis, Manoussos Okoudjou, Kasso A. TIFR Ctr Applicable Math Bangalore Karnataka India Univ Maryland Dept Math College Pk MD 20742 USA Univ Maryland Norbert Wiener Ctr College Pk MD 20742 USA
We establish both a local and a global well-posedness theories for the nonlinear Hartree-Fock equations and its reduced analog in the setting of the modulation spaces on In addition, we prove similar results when a ha... 详细信息
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Well-posedness of the modified dispersion-generalized Benjamin-Ono equations in modulation spaces
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2022年 第1期509卷 125933-125933页
作者: Guo, Zihua Huang, Chunyan Monash Univ Sch Math Clayton Vic 3800 Australia Cent Univ Finance & Econ Sch Stat & Math Beijing 100081 Peoples R China
We consider the Cauchy problem of the modified Dispersion-Generalized Benjamin Ono equations on the real line. We prove some optimal local well-posedness results in the modulation spaces. The main new ingredient is an... 详细信息
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Time-decay and Strichartz estimates for the BBM equation on modulation spaces: Existence of local and global solutions
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2021年 第1期498卷 124934-124934页
作者: Banquet, Carlos Villamizar-Roa, Elder J. Univ Cordoba Dept Matemat & Estadist Monteria 354 Colombia Univ Ind Santander Escuela Matemat Bucaramanga 678 Colombia
In this paper we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces M-p,q(s). We use these results to analyze the existence of local and ... 详细信息
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The Zak Transform on Gelfand-Shilov and modulation spaces with Applications to Operator Theory
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COMPLEX ANALYSIS AND OPERATOR THEORY 2021年 第1期15卷 2-2页
作者: Toft, Joachim Linnaeus Univ Dept Math Vaxjo Sweden
We characterize Gelfand-Shilov spaces, their distribution spaces and modulation spaces in terms of estimates of their Zak transforms. We use these results for general investigations of quasi-periodic functions and dis... 详细信息
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Almost Diagonalization of τ-Pseudodifferential Operators with Symbols in Wiener Amalgam and modulation spaces
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JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 2019年 第4期25卷 1927-1957页
作者: Cordero, Elena Nicola, Fabio Trapasso, S. Ivan Univ Torino Dipartimento Matemat Via Carlo Alberto 10 I-10123 Turin Italy Politecn Torino Dipartimento Sci Matemat Corso Duca Abruzzi 24 I-10129 Turin Italy
In this paper we focus on the almost-diagonalization properties of tau-pseudodifferential operators using techniques from time-frequency analysis. Our function spaces are modulation spaces and the special class of Wie... 详细信息
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Estimates on the modulation spaces for the Dirac equation with potential
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REVISTA MATEMATICA COMPLUTENSE 2019年 第2期32卷 305-325页
作者: Kato, Keiichi Naumkin, Ivan Tokyo Univ Sci Dept Math Fac Sci Shinjuku Ku Kagurazaka 1-3 Tokyo 1628601 Japan Univ Nacl Autonoma Mexico Dept Fis Matemat Inst Invest Matemat Aplicadas & Sistemas Apartado Postal 20-126 Mexico City 01000 DF Mexico
In the present paper we obtain estimates in the modulation spaces for the solutions to the Dirac equation with quadratic and sub-quadratic potentials. We derive a representation for the Dirac operator that permits to ... 详细信息
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