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Operadores pseudodiferenciales definidos en medidas de Borel
En este trabajo se introduce un tipo de operadores pseudodiferenciales definidos en medidas de Borel. Clásicamente la definición de operadores pseudodiferenciales se extiende al espacio de las distribuciones temperadas; sin embargo, en su ...
Duván Cardona
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A New Wavelet Transform and Its Localization Operators
In the present paper we define and study a new wavelet transformation associated to the linear canonical Dunkl transform (LCDT), which has been widely used in signal processing and other related fields.
Saifallah Ghobber, Hatem Mejjaoli
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The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
The 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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Lie Bialgebroid of Pseudo-differential Operators
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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Weak-type (1,1) bounds for a class of operators with discrete kernel
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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Pseudo-Differential Operators Involving Hankel Transforms
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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On some approximate calculations for certain pseudo-differential equations
We consider discrete pseudo - differential operatots and equations as approximate operators and equations for their continuous analogues. For this purpose we study a solvability for such equations in appropriate discrete spaces and give some error ...
V.B. Vasilyev
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On Diff(M)-Pseudo-Differential Operators and the Geometry of Non Linear Grassmannians
We consider two principal bundles of embeddings with total space E m b ( M , N ) ,
Jean-Pierre Magnot
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On the degeneration of the Frölicher spectral sequence and small deformations
We study the behavior of the degeneration at the second step of the Frölicher spectral sequence of a 𝒞∞ family of compact complex manifolds. Using techniques from deformation theory and adapting them to pseudo-differential operators we prove a result à ...
Maschio Michele
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Estimativos L^2 para una clase de operadores pseudodiferenciales definidos en el toro
En este trabajo se establecen estimativos L 2 para operadores pseudodiferenciales definidos en el toro. Los operadores considerados surgen del estudio de operadores entre grupos abelianos localmente compactos. Abstract.
Duván Cardona
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