Results 1 to 10 of about 25,186 (260)
Quantization of Pseudo-differential Operators on the Torus [PDF]
Journal of Fourier Analysis and Applications, 2009 36 ...
Michael Ruzhansky +2 more
exaly +6 more sources
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
doaj +1 more source
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
openaire +2 more sources
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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Pseudo-differential operators on Orlicz modulation spaces
, 2023 We deduce continuity properties for pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces when rely on other quasi-Banach Orlicz modulation spaces.
Toft, Joachim, +3 more
core +1 more source
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 < 1, and [Formula: see text].
Calderon, Alberto P., Vaillancourt, Remi
openaire +3 more sources
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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WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR p-EVOLUTION SYSTEMS OF PSEUDO-DIFFERENTIAL OPERATORS [PDF]
, 2013 We study p-evolution pseudo-differential systems of the first order with coefficients in (t,x) and real characteristics. We find sufficient conditions for the well-posedness of the Cauchy problem in H∞.
Ascanelli, Alessia, Boiti, Chiara
core +1 more source