Results 11 to 20 of about 202 (161)
Commutators of Pseudodifferential Operators on Weighted Hardy Spaces
Journal of Mathematics, 2022 In this paper, we establish an endpoint estimate for the commutator, b,T, of a class of pseudodifferential operators T with symbols in Hörmander class Sρ,δmRn.
Yu-long Deng
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Weighted Estimates for Toeplitz Operators Related to Pseudodifferential Operators
Journal of Function Spaces, 2016 The authors establish the weighted Lp estimates for a class of pseudodifferential operators for both cases ...
Yan Lin +3 more
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On L2-Boundedness of h-Pseudodifferential Operators
Journal of Function Spaces, 2021 Let Tah be the h-pseudodifferential operators with symbol a. When a∈Sρ,1m and m=nρ−1/2, it is well known that Tah is not always bounded in L2ℝn. In this paper, under the condition ax,ξ∈L∞Sρnρ−1/2ω, we show that Tah is bounded on L2.
Jie Yang
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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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Bilinear Localization Operators on Modulation Spaces
Journal of Function Spaces, 2018 We introduce a class of bilinear localization operators and show how to interpret them as bilinear Weyl pseudodifferential operators. Such interpretation is well known in linear case whereas in bilinear case it has not been considered so far.
Nenad Teofanov
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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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Pseudodifferential operators on stratified manifolds [PDF]
Differential Equations, 2007 We consider a specific class of manifolds with singularities, namely, stratified manifolds, and describe a class of pseudodifferential operators (PsiDO) related to differential operators with degeneration of first-order with respect to the distance to the strata on such manifolds.
Nazaikinskii, V. E. +2 more
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On the Algebra of Operators Corresponding to the Union of Smooth Submanifolds
Современная математика: Фундаментальные направления, 2019 For a pair of smooth transversally intersecting submanifolds in some enveloping smooth manifold, we study the algebra generated by pseudodifferential operators and (co)boundary operators corresponding to submanifolds.
D. A. Poluektova +2 more
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Pseudodifferential operators on α-modulation spaces
Journal of Function Spaces and Applications, 2004 We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system.
Lasse Borup
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Pseudodifferential operators with complex arguments and Cauchy problem
Mathematical Modelling and Analysis, 1996 "Pseudodifferential operators with complex arguments and Cauchy problem." Mathematical Modelling and Analysis, 1(1), p.
J. Dubinskii
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