Results 21 to 30 of about 452 (45)
, 2019 In this article, we begin a systematic study of the boundedness and the nuclearity properties of multilinear periodic pseudo-differential operators and multilinear discrete pseudo-differential operators on $L^p$-spaces. First, we prove analogues of known
Cardona, Duván, Kumar, Vishvesh
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Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains
, 2014 We prove a two-term quasi-classical trace asymptotic formula for the functions of multi-dimensional Wiener-Hopf operators with discontinuous symbols. The discontinuities occur on the surfaces which are assumed to be piece-wise smooth.
Sobolev, A. V.
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Bilinear pseudo-differential operators with exotic symbols, II
, 2018 The boundedness from $H^p \times L^2$ to $L^r$, $1/p+1/2=1/r$, and from $H^p \times L^{\infty}$ to $L^p$ of bilinear pseudo-differential operators is proved under the assumption that their symbols are in the bilinear H\"ormander class $BS^m_{\rho,\rho}$,
Miyachi, Akihiko, Tomita, Naohito
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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$L_2$-Small Deviations for Weighted Stationary Processes
, 2018 We find logarithmic asymptotics of $L_2$-small deviation probabilities for weighted stationary Gaussian processes (both for real and complex-valued) having power-type discrete or continuous spectrum.
Lifshits, Mikhail, Nazarov, Alexander
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The K-theory of bisingular pseudodifferential algebras
, 2015 In this paper we calculate the K-theory of $C^{\ast}$-algebras given by the norm-closures of spaces of bisingular pseudodifferential operators.
Bohlen, Karsten
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A topological definition of the Maslov bundle [PDF]
, 2006 We give a definition of the Maslov fibre bundle for a lagrangian submanifold of the cotangent bundle of a smooth manofold. This definition generelizes the definition given, in homotopic terms, by Arnol'd for lagrangian submanifolds of the cotangent ...
Anné, Colette
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A symplectic extension map and a new Shubin class of pseudo-differential operators
, 2014 For an arbitrary pseudo-differential operator $A:\mathcal{S}(\mathbb{R}% ^{n})\longrightarrow\mathcal{S}^{\prime}(\mathbb{R}^{n})$ with Weyl symbol $a\in\mathcal{S}^{\prime}(\mathbb{R}^{2n})$, we consider the pseudo-differential operators $\widetilde{A}:\
Bastos +25 more
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A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions
, 2012 We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis ...
Cordero, Elena +2 more
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On the Usefulness of Modulation Spaces in Deformation Quantization
, 2009 We discuss the relevance to deformation quantization of Feichtinger's modulation spaces, especially of the weighted Sjoestrand classes. These function spaces are good classes of symbols of pseudo-differential operators (observables).
Bayen F +16 more
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