Results 61 to 70 of about 91,363 (266)
Lie Bialgebroid of Pseudo-differential Operators
Journal of Nonlinear Mathematical Physics, 2022 AbstractWe associate a Lie bialgebroid structure to the algebra of formal Pseudo-differential operators, as the classical limit of a quantum groupoid. As a consequence, the non-commutative Kadomtsev–Petviashvili hierarchy is naturally obtained by an algebraic procedure.
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Advanced Functional Materials, EarlyView.A bespoke multilayer thin film configuration has been designed, which overcomes the material dependency of conventional isotope exchange Raman spectroscopy (IERS). This universal IERS methodology is efficient, non‐destructive and provides additional structural information and time resolution, which can be further extended to various isotopic elements ...
Zonghao Shen +7 more
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The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
Comptes Rendus. MathématiqueThe goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.
Boutet de Monvel, Louis +1 more
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Domains of pseudo-differential operators: a case for the Triebel-Lizorkin spaces
Journal of Function Spaces and Applications, 2005 The main result is that every pseudo-differential operator of type 1, 1 and order d is continuous from the Triebel-Lizorkin space Fp,1d to Lp, 1≤p≺∞, and that this is optimal within the Besov and Triebel-Lizorkin scales. The proof also leads to the known
Jon Johnsen
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Bilinear pseudo-differential operators with exotic symbols, II
, 2018 The boundedness from $H^p \times L^2$ to $L^r$, $1/p+1/2=1/r$, and from $H^p \times L^{\infty}$ to $L^p$ of bilinear pseudo-differential operators is proved under the assumption that their symbols are in the bilinear H\"ormander class $BS^m_{\rho,\rho}$,
Miyachi, Akihiko, Tomita, Naohito
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Pseudo-Differential Operators Involving Hankel Transforms
Journal of Mathematical Analysis and Applications, 1997 The authors investigate the pseudo-differential operators \(H(x,D)\) and \(L(x,D)\) associated with Hankel transforms. \(H(x,D)\) is a generalization of certain pseudo-differential operator \(h\), studied by \textit{R. S. Pathak} and \textit{P. K. Pandey} [J. Math. Anal. Appl. 196, No. 2, 736-747 (1995; Zbl 0843.35145)] while \(L(x,D)\) is its adjoint.
Pathak, R.S., Upadhyay, S.K.
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Advanced Functional Materials, EarlyView.We introduce a nucleic acid nanoparticle (NANP) platform designed to be rrecognized by the human innate immune system in a regulated manner. By changing chemical composition while maintaining constant architectural parameters, we identify key determinants of immunorecognition enabling the rational design of NANPs with tunable immune activation profiles
Martin Panigaj +21 more
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Weak-type (1,1) bounds for a class of operators with discrete kernel
Revista Integración, 2015 In this paper we investigate the weak continuity of a certain class of operators with kernel defined on Z×Z. We prove some results on the weak boundedness of discrete analogues of Calderón-Zygmund operators.
Duván Cardona
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Advanced Functional Materials, EarlyView.This research presents a novel implantable bio‐battery, GF‐OsG, tailored for diabetic bone repair. GF‐OsG generates microcurrents in high‐glucose conditions to enhance vascularization, shift macrophages to the M2 phenotype, and regulate immune responses.
Nanning Lv +10 more
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Product Theorem for Singular Integrals of Nonconvolution Type
, 2017 A new class of symbols is investigated. These symbols satisfy a differential inequality which has a mixture of homogeneities on the product space. We show that pseudo differential operators with symbols of order zero in the class are L^p -bounded for 1 <
Wang, Zipeng
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