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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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Nonlinear schrodinger equations with the third order dispersion on modulation spaces
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PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS 2022年 第5期3卷 1-21页
作者: Carvajal, X. Panthee, M. Univ Fed Rio de Janeiro Inst Matemat BR-21941909 Rio de Janeiro RJ Brazil IMECC UNICAMP BR-13083859 Sao Paulo SP Brazil
We consider the initial value problems (IVPs) associated to the extended nonlinearSchr & ouml;dinger (e-NLS) equation partial derivative(t)v + i alpha partial derivative(2)(x)v - partial derivative(3)(x)v + i beta... 详细信息
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Excursus on modulation spaces via metaplectic operators and related time-frequency representations
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SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS 2024年 第1期22卷 1-18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 Dept Diagnost & Intervent Radiol Rue Bugnon 46 CH-1011 Lausanne Switzerland Univ Lausanne Rue Bugnon 46 CH-1011 Lausanne Switzerland Sense Innovat & Res Ctr Ave Provence 82 CH-1007 Lausanne Switzerland
We provide a comprehensive overview of the theoretical framework surrounding modulation spaces and their characterizations, particularly focusing on the role of metaplectic operators and time-frequency representations... 详细信息
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The Weyl product on quasi-Banach modulation spaces
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Bulletin of Mathematical Sciences 2018年 1-31页
作者: Chen Y. Toft J. Wahlberg P. Department of Mathematics Linnæus University Växjö 351 95 Sweden
We study the bilinear Weyl product acting on quasi-Banach modulation spaces. We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions. The results extend known results for Ba... 详细信息
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The metaplectic action on modulation spaces
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2024年 68卷
作者: Fuehr, Hartmut Shafkulovska, Irina Rhein Westfal TH Aachen Lehrstuhl Geometrie & Anal D-52056 Aachen Germany Univ Vienna Fac Math Oskar Morgenstern Pl 1 A-1090 Vienna Austria Austrian Acad Sci Acoust Res Inst Wohllebengasse 12-14 Vienna A-1040 Austria
We study the mapping properties of metaplectic operators S is an element of Mp(2,Double-struck capital R) on modulation spaces of the type M (Double-struck capital R). Our main result is a full characterization of the... 详细信息
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Boundedness of iterated spherical average on modulation spaces*
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2020年 199卷 111968-111968页
作者: Huang, Qiang Zhejiang Normal Univ Dept Math Jinhua 321000 Zhejiang Peoples R China
The spherical average A(1)(f) and its iteration (A(1))(N) are important operators in harmonic analysis and probability theory. Also Delta(A(1))(N) is used to study the K functional in approximation theory, where Delta... 详细信息
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Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces
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APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 2023年 第1期67卷
作者: Toft, Joachim Bhimani, Divyang G. Manna, Ramesh Linnaeus Univ Dept Math Vaxjo Sweden Indian Inst Sci Educ & Res Dept Math Pune India Natl Inst Sci Educ & Res Sch Math Sci Bhubaneswar India OCC Homi Bhabha Natl Inst Jatni 752050 India
We give a proof of that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators on modulation spaces, and a... 详细信息
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Estimate for generalized unimodular multipliers on modulation spaces
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Nonlinear Analysis 2013年 85卷 78-92页
作者: Qingquan Deng Yong Ding Lijing Sun Department of Mathematics Huazhong Normal University Wuhan 430079 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China School of Mathematical Sciences Laboratory of Mathematics and Complex Systems (BNU) Ministry of Education Beijing Normal University Beijing 100875 China Department of Mathematical Science University of Wisconsin-Milwaukee Milwaukee WI 53201 USA
In this paper, we consider the operator e i t ϕ ( h ( D ) ) where h defined on R n is a C ∞ ( R n ∖ { 0 } ) positive homogeneous function with degree λ > 0 and ϕ : R → R is a smooth function satisfying the follo... 详细信息
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TIME-FREQUENCY LOCALIZATIONS FOR modulation spaces ON LOCALLY COMPACT ABELIAN GROUPS
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International Journal of Wavelets, Multiresolution and Information Processing 2004年 第2期2卷 149-163页
作者: S. S. PANDEY Department of Mathematics R. D. University Jabalpur 482001 India
In the present paper we define weighted modulation spaces on a LCA group with respect to a window function drawn from a suitable Banach space of test functions and prove a theorem to establish uncertainty principle fo... 详细信息
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On the degree of compactness of embeddings between weighted modulation spaces
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JOURNAL OF FUNCTION spaces AND APPLICATIONS 2008年 第3期6卷 303-317页
作者: Hinrichs, Aicke Piotrowska, Iwona Piotrowski, Mariusz FSU Jena Math Inst D-07737 Jena Germany Univ Bremen Ctr Ind Math D-28334 Bremen Germany Univ Vienna Fac Math A-1090 Vienna Austria
The paper investigates the asymptotic behaviour of entropy and approximation numbers of compact embeddings between weighted modulation spaces.
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The Weyl product on quasi-Banach modulation spaces
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BULLETIN OF MATHEMATICAL SCIENCES 2019年 第2期9卷
作者: Chen, Yuanyuan Toft, Joachim Wahlberg, Patrik Linnaeus Univ Dept Math S-35195 Vaxjo Sweden
We study the bilinear Weyl product acting on quasi-Banach modulation spaces. We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions. The results extend known results for Ba... 详细信息
来源: 评论