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Pseudo-differential operator related to Hankel transform on Gelfand–Shilov spaces of type W
We focus on the continuity of Hankel transform and pseudo-differential operator related to that Hankel transform on some appropriately constructed...
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Parabolic Boundary-Value Problems of Mathematical Physics in a Piecewise Homogeneous Wedge-Shaped Hollow Cylinder
By using the method of classic integral and hybrid integral transformations together with the method of principal solutions (matrices of influence...
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Parabolic Boundary-Value Problems of Mathematical Physics in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Layer
By using the method of classic integral and hybrid integral transformations, together with the method of main solutions (influence matrices and...
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Boundary Value Problems for the Polyharmonic Operators
This paper deals with Dirichlet-type elliptic and degenerate oblique derivative boundary value problem for the polyharmonic operator...
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Short-Wavelength Diffraction by a Contour with Nonsmooth Curvature. Boundary Layer Approach
We consider the short-wave length diffraction by a contour with a nonsmooth curvature, whose jth derivative (j = 1, 2, . . .) has a discontinuity at...
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Hyperbolic Systems in Gelfand and Shilov Spaces
For systems hyperbolic in Shilov’s sense whose coefficients are continuous functions of time, we study the properties of the Green function in S -type...
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Parabolic Boundary-Value Problems in a Piecewise Homogeneous Wedge-Shaped Cylindrically Circular Space
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green’s...
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Generalized Riemann Problem on the Decay of a Discontinuity with Additional Conditions at the Boundary and Its Application for Constructing Computational Algorithms
We construct an approximation of the fundamental solution of a problem for a hyperbolic system of first-order linear differential equations with...
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A-Isometries and Hilbert-A-Modules Over Product Domains
For a compact set \(K \subset {\mathbb {C}}^n\) , let...
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Boundary Integral Equations on Curves in \(IR\) 2
In Chapter 10 we presented the essence of boundary integral equations recast as pseudodifferential operators on boundary manifolds...
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Boundary representations and rectangular hyperrigidity
We explore connections between boundary representations of operator spaces and those of the associated Paulsen systems. Using the notions of finite...
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On Characterization of Hilbert Transform of Riemannian Surface with Boundary
Let ( M , g ) be a smooth compact orientable two-dimensional Riemannian manifold ( surface ) with a smooth metric tensor g and a smooth connected boundary
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Diameter two properties in some vector-valued function spaces
We introduce a vector-valued version of a uniform algebra, called the vector-valued function space over a uniform algebra. The diameter two...
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Asymptotic Properties of Solutions of Two-Dimensional Differential-Difference Elliptic Problems
In the half-plane {−∞ < x < + ∞} × { 0 < y < + ∞}, the Dirichlet problem is considered for differential-difference equations of the kind
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Elliptic Equations with General-Kind Nonlocal Potentials in Half-Spaces
AbstractIn this paper, the Dirichlet problem in half-spaces is investigated for elliptic differential-difference equations such that the potential...
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Hyperbolic Boundary-Value Problem for a Piecewise Homogeneous Hollow Cylinder
By the method of integral and hybrid integral transforms in combination with the method of principal solutions (matrices of influence and Green...
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