Results 61 to 70 of about 1,062,474 (215)
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts [PDF]
Applied and Computational Harmonic Analysis, 2021 E. Cordero, L. Rodino
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Global and microlocal aspects of Dirac operators: Propagators and Hadamard states
Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley +1 more source
On controllability, parametrization, and output tracking of a linearized bioreactor model
Journal of Applied Mathematics, 2003 The paper deals with a distributed parameter system related to the so-called fixed-bed bioreactor. The original nonlinear partial differential system is linearized around the steady state.
J. Tervo, M. T. Nihtilä, P. Kokkonen
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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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Relativistic dynamics, Green function and pseudodifferential operators [PDF]
, 2016 The central role played by pseudodifferential operators in relativistic dynamics is known very well. In this work, operators like the Schrodinger one (e.g., square root) are treated from the point of view of the non-local pseudodifferential Green ...
D. Cirilo-Lombardo
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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Pseudodifferential operators with generalized symbols and regularity theory
Electronic Journal of Differential Equations, 2005 We study pseudodifferential operators with amplitudes $a_varepsilon (x,xi)$ depending on a singular parameter $varepsilon o 0$ with asymptotic properties measured by different scales.
Claudia Garetto +2 more
doaj
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
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Decoupling for Schatten class operators in the setting of quantum harmonic analysis
Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 23-37, January 2025.Abstract We introduce the notion of decoupling for operators, and prove an equivalence between classical ℓqLp$\ell ^qL^p$ decoupling for functions and ℓqSp$\ell ^q{\mathcal {S}}^p$ decoupling for operators on bounded sets in R2d${\mathbb {R}}^{2d}$. We also show that the equivalence depends only on the bounded set Ω$\Omega$ and not on the values of p,q$
Helge J. Samuelsen
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Parameter-dependent Pseudodifferential Operators of Toeplitz Type
, 2013 We present a calculus of pseudodifferential operators that contains both usual parameter-dependent operators -- where a real parameter \tau\ enters as an additional covariable -- as well as operators not depending on \tau.
Seiler, Jörg
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