Results 1 to 10 of about 3,136 (166)
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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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.
Gang Bao, William W. Symes
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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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On positivity of pseudo-differential operators [PDF]
Proceedings of the National Academy of Sciences, 1978 In this paper we obtain new lower bounds for pseudo-differential operators with non-negative symbols, thus providing a sharper form of Gårding's inequality.
Fefferman, C., Phong, D. H.
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Quantization of Pseudo-differential Operators on the Torus [PDF]
Journal of Fourier Analysis and Applications, 2009 36 ...
Ruzhansky, Michael, Turunen, Ville
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A Class of Bounded Pseudo-Differential Operators [PDF]
Proceedings of the National Academy of Sciences, 1972 Pseudo-differential operators of order -M and type ρ, δ 1 , δ 2 are shown to be bounded in L 2 provided that 0 ≤ ρ ≤ δ 1 < 1, 0 ≤ ρ ≤ δ 2
Calderon, Alberto P., Vaillancourt, Remi
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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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On the boundedness of pseudo-differential operators [PDF]
Proceedings of the American Mathematical Society, 1973 In this note, we use the sequence version of Cotlar's lemma and a partition of unity to give a proof of the L2-boundedness of a class of pseudo-differential operators. Introduction and results. Let p(x, 5) be a continuous function on RI x RI. Then, a pseudo-differential operator P with the symbol p(x, 5) is a linear map of CO (Rn) into CO(Rn), defined ...
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