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On a Problem of Conrad on Riesz Space Structures
This paper is concerned with Riesz space structures on a lattice ordered abelian group, continuing a line of research conducted by the author and the...
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A Representation Theorem for Archimedean Riesz Spaces
In previous works, Buskes and the author have made use of representations of Archimedean Riesz spaces in terms of real-valued continuous functions...
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Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...
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Riesz transforms and commutators in the Dunkl setting
In this paper we characterise the pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric...
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Riesz Multiresolution Analysis on Locally Compact Abelian Groups: Construction and Exceptions
AbstractIn this article, we construct a Riesz multiresolution analysis (MRA) on locally compact Abelian groups (LCA) starting from a suitably given...
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Riesz bases by replacement
In this paper we provide a method for constructing new Riesz bases on separable Hilbert spaces and we use it to prove sufficient conditions for the...
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Riesz Basis and Exponential Stability of a Variable Coefficients Rotating Disk-Beam-Mass System
In this paper, we consider the feedback boundary stabilization of a flexible beam clamped at one end to a rigid disk, and attached at the other end...
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Weak type (1, 1) of the Riesz transform on some direct product manifolds with exponential volume growth
In this paper, we are concerned with the Riesz transform on the direct product manifold ℍ n × M , where ℍ n is the n -dimensional real hyperbolic space...
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On a Riesz Basis of Finite-Dimensional Invariant Subspaces
This chapter is devoted to study the Riesz basis of finite-dimensional invariant subspaces for a class of unbounded perturbations of unbounded normal...
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Asymptotics of k-nearest Neighbor Riesz Energies
We obtain new asymptotic results about systems of N particles governed by Riesz interactions involving k -nearest neighbors of each particle as
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...
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Basis Properties of Fučík Eigenfunctions
We establish sufficient assumptions on sequences of Fučík eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fučík...
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Riesz–Kolmogorov Type Compactness Criteria in Function Spaces with Applications
We present forms of the classical Riesz–Kolmogorov theorem for compactness that are applicable in a wide variety of settings. In particular, our...