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Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]
Revista Integración, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators by showing classical multilinear ...
Duván Cardona, Vishvesh Kumar
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Pseudospectra of semi-classical (pseudo)differential operators [PDF]
Communications on Pure and Applied Mathematics, 2003 The purpose of this note is to show how some results from the theory of partial differential equations apply to the study of pseudo-spectra of non-self-adjoint operators, which is a topic of current interest in applied mathematics.Comment: AMS-LaTeX, 22 ...
Dencker, Nils +2 more
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On efficient quantum block encoding of pseudo-differential operators [PDF]
Quantum, 2023 Block encoding lies at the core of many existing quantum algorithms. Meanwhile, efficient and explicit block encodings of dense operators are commonly acknowledged as a challenging problem.
Haoya Li, Hongkang Ni, Lexing Ying
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On the geometry of $Diff(S^1)$-pseudodifferential operators based on renormalized traces.
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 In this article, we examine the geometry of a group of Fourier-integral operators, which is the central extension of $Diff(S^1)$ with a group of classical pseudo-differential operators of any order.
Jean-Pierre Magnot
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Weighted boundedness of multilinear pseudo-differential operators
AIMS Mathematics, 2021 In this paper, the weighted boundedness for some multilinear operators generated by the pseudo-differential operators and the weighted Lipschitz functions are obtained.
Dazhao Chen
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A pointwise estimate for pseudo-differential operators
Bulletin of Mathematical Sciences, 2023 Let [Formula: see text] be a pseudo-differential operator defined by the symbol [Formula: see text] with [Formula: see text] [Formula: see text]. It is shown that if [Formula: see text], then the operator satisfies the following pointwise estimate: (Tau)♯
Guangqing Wang, Wenyi Chen
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Some estimates for commutators of bilinear pseudo-differential operators
Open Mathematics, 2022 We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
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Quantization of pseudo-differential operators on the torus [PDF]
, 2008 Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts.
Ruzhansky, Michael, Turunen, Ville
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A New Hybrid Method Based on Pseudo Differential Operators and Haar Wavelet to Solve ODEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper we present a new and efficient method by combining pseudo differential operators and Haar wavelet to solve the linear and nonlinear differential equations. The present method performs extremely well in terms of efficiency and simplicity.
M.B. Ghaemi +2 more
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KP-KdV Hierarchy and Pseudo-Differential Operators
Communications in Advanced Mathematical Sciences, 2019 The study of KP-KdV equations are the archetype of integrable systems and are one of the most fundamental equations of soliton phenomena and a topic of active mathematical research.
Lesfari Ahmed
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