Results 1 to 10 of about 11,285 (160)
Magnetic Pseudodifferential Operators
Publications of the Research Institute for Mathematical Sciences, 2005 In previous papers, a generalization of the Weyl calculus was introduced in connection with the quantization of a particle moving in $\mathbb R^n$ under the influence of a variable magnetic field $B$.
Iftimie, Viorel +2 more
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Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a ...
Carolina Neira Jiménez +1 more
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Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Jingshi Xu, Jinlai Zhu
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The S-Transform of Distributions [PDF]
The Scientific World Journal, 2014 Parseval’s formula and inversion formula for the S-transform are given. A relation between the S-transform and pseudodifferential operators is obtained. The S-transform is studied on the spaces 𝒮(ℝn) and 𝒮′(ℝn).
Sunil Kumar Singh
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Classes of spatially inhomogeneous pseudodifferential operators. [PDF]
Proc Natl Acad Sci U S A, 1973 One can obtain sharp information on a pseudodifferential operator p (x,D) by embedding the symbol p in a symbolic calculus specially designed to reflect the behavior of p . We sketch the development of symbolic calculi arising in this connection, and use our results to
Beals R, Fefferman C.
europepmc +5 more sources
Discrete spectrum of zero order pseudodifferential operators [PDF]
Opuscula Mathematica, 2023 We study the rate of convergence of eigenvalues to the endpoints of essential spectrum for zero order pseudodifferential operators on a compact manifold.
Grigori Rozenblum
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Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
Karpatsʹkì Matematičnì Publìkacìï, 2021 A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
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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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Semielliptic Pseudodifferential Operators
Journal of Functional Analysis, 1995 On étudie la régularité des solutions des problèmes aux limites associés à un opérateur pseudo-différentiel semi-elliptique de la forme \[ P = D^\mu_t + \sum_{1 \leq j \leq \mu} p_j (x,t,D_x) D_t^{\mu - j}, \] \(t \in [0,T)\), \(x \in \omega\) ouvert de \(\mathbb{R}^n\), où \(p_j (x, t,D_x)\) est un opérateur pseudo-différentiel en \(x\), de closse \({\
Artino, R.A., Barrosneto, J.
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Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces [PDF]
, 2009 We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces $M^{p,q}$, acting on a given Lebesgue space $L^r$.
Cordero, Elena, Nicola, Fabio
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