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An integral representation of pseudo-differential operators involving weinstein transform
In the present paper, we study the continuity property of pseudo-differential operators associated with the Weinstein transform on Schwartz space
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Pseudo-Differential Operators on a Half-Space
In Chapter 2 of Volume 1 we presented the basic results that allowed us to derive estimates away from boundaries and at boundaries in Chapter 3 also...
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Global regularity of Weyl pseudo-differential operators with radial symbols in each phase-space variable
We analyse a class of pseudo-differential operators in the Gelfand–Shilov setting whose Weyl symbols are radial in each phase-space variable...
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Chapter 3: Pseudo-Differential Operators and Fourier Operators
In 1807, Jean-Baptiste Fourier had his say in the famous (going from the beginning of the XVIII century) dispute about the sounding string...
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Representations of solutions of systems of time-fractional pseudo-differential equations
Systems of fractional order differential and pseudo-differential equations are used in modeling of various dynamical processes. In the analysis of...
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\(L^p\)-boundedness of pseudo-differential operators on rank one Riemannian symmetric spaces of noncompact type
We study the boundedness properties of pseudo-differential operators associated with a symbol on rank one Riemannian symmetric spaces of noncompact...
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Generalized Weinstein Sobolev–Gevrey spaces and pseudo-differential operators
The first subject of this paper is to analyze and introduce a class of symbols and their associated pseudo-differential operators. In this case, we...
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Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups
Given a compact (Hausdorff) group G and a closed subgroup H of G , in this paper we present symbolic criteria for pseudo-differential operators on...
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A pair of Barut-Girardello type transforms and allied pseudo-differential operators
The main objective of this paper is to generalize the Barut-Girardello transform (BG-transform) in two different ways as a pair of Barut-Girardello...
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Sparse Bounds for Pseudo-multipliers Associated to Grushin Operators, II
In this article, we establish pointwise sparse domination results for Grushin pseudo-multipliers corresponding to various symbol classes, as a...
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The Wodzicki Residue for Pseudo-Differential Operators on Compact Lie Groups
Let G be an arbitrary compact Lie group. In this work we apply the method of the analytic continuation of traces in order to compute the Wodzicki...
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Optimal semiclassical spectral asymptotics for differential operators with non-smooth coefficients
We consider differential operators defined as Friedrichs extensions of quadratic forms with non-smooth coefficients. We prove a two-term optimal...