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Pseudo-Differential Operators of Homogeneous Symbol Class Associated with the Weinstein Transform
In this paper, pseudo-differential operators with homogeneous symbol classes associated with the Weinstein transform are introduced. The boundedness...
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The Livšic function of a homogeneous symmetric operator and the multiplication theorem
This paper presents a solution to the Jørgensen–Muhly problem for a homogeneous symmetric operator with deficiency indices (1, 1) that does not admit ...
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Intrinsic Taylor Formula for Non-homogeneous Kolmogorov-Type Lie Groups
In this note we prove an intrinsic Taylor-like formula for a class of Lie groups arising in the study of some Kolmogorov operators of...
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Transient Propagation of the Invasion Front in the Homogeneous Landscape and in the Presence of a Road
Understanding the propagation of invasive plants at the beginning of invasive spread is important as it can help practitioners eradicate harmful...
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Optimality conditions for homogeneous polynomial optimization on the unit sphere
In this note, we prove that for homogeneous polynomial optimization on the sphere, if the objective f is generic in the input space, all feasible...
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Compactness of Fractional Type Integral Operators on Spaces of Homogeneous Type
For a space ( X, d, μ ) of homogeneous type and a fractional type integral operator K α defined on ( X, d, μ ) we find a necessary and sufficient...
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Self-similarity in homogeneous stationary and evolution problems
We analyse self-similarity properties related to linear elliptic and evolutionary problems involving homogeneous operators in several spaces...
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Initial–Boundary Value Problems for Homogeneous Parabolic Systems in a Semibounded Plane Domain and Complementarity Condition
AbstractWe consider initial–boundary value problems for homogeneous parabolic systems with coefficients satisfying the double Dini condition with...
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Strictly positive definite non-isotropic kernels on two-point homogeneous manifolds: the asymptotic approach
We present sufficient conditions for a family of positive definite kernels on a compact two-point homogeneous space to be strictly positive definite...
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On Extension of Multilinear Operators and Homogeneous Polynomials in Vector Lattices
We establish the existence of a simultaneous extension from a majorizing sublattice in the classes of regular multilinear operators and...
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Characterization by approximation of homogeneous Besov and Triebel–Lizorkin type spaces
By approximation with sequences in a certain set of distributions modulo polynomials, we characterize the homogeneous Besov and Triebel–Lizorkin type...
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Revisiting the classification of homogeneous 3-Sasakian and quaternionic Kähler manifolds
We provide a new, self-contained proof of the classification of homogeneous 3-Sasakian manifolds, which was originally obtained by Boyer et al. (J...
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A Note on Best Constants for Weighted Integral Hardy Inequalities on Homogeneous Groups
The main aim of this note is to prove sharp weighted integral Hardy inequality and conjugate integral Hardy inequality on homogeneous Lie groups with...
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Classification of Proper Holomorphic Map**s between Hartogs Domains over Homogeneous Siegel Domains
The Hartogs domain over homogeneous Siegel domain D N,s ( s > 0) is defined by the inequality ∥ζ∥ 2 < K D ( z, z ) − s , where D is a homogeneous Siegel domain...
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Rational homogeneous spaces as geometric realizations of birational transformations
In this paper we study geometric realizations of some classic birational maps, such as inversion maps, special Cremona transformations, special...
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Jackson-Type Inequality in Hilbert Spaces and on Homogeneous Manifolds
We consider a Hilbert space H equipped with a set of strongly continuous bounded semigroups satisfying certain conditions. The conditions allow to...
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Homogeneous Measures and Positive Alexandrov Curvature
We examine the geometry of the subspace of homogeneous probability measures in terms of the 2-Wasserstein metric on the space of all probability...