Results 11 to 20 of about 2,990 (165)
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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Image encryption scheme based on improved four-dimensional chaotic system and evolutionary operators [PDF]
Scientific ReportsTo enhance the security of image data transmission, and address the weaknesses of existing image encryption schemes based on chaotic systems, particularly concerning resistance to differential attacks and the unstable performance of chaotic systems, this
Ying Niu, Hangyu Zhou, Xuncai Zhang
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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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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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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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Pseudo-differential operators and equations in a discrete half-space
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.
Alexander V. Vasilyev +1 more
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Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Bao, Gang, Symes, William W.
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Fundamental Results for Pseudo-Differential Operators of Type 1, 1
Axioms, 2016 This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type 1 , 1 in Hörmander’s sense. Thus, it contributes to the long-standing problem of creating
Jon Johnsen
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