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Extension procedures for lattice Lipschitz operators on Euclidean spaces
We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and...
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Complete λ-Hypersurfaces in Euclidean Spaces
In this paper, the authors give a survey about λ-hypersurfaces in Euclidean spaces. Especially, they focus on examples and rigidity of...
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Approximating Fair k-Min-Sum-Radii in Euclidean Space
The k-center problem is a classical clustering problem in which one is asked to find a partitioning of a point set P into k clusters such that the...
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Quasi-Euclidean Spaces
A review of some basic notions of topology, including completeness and compactness. Manifolds and subspaces of manifolds. Quotients of Euclidean...
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On Euclidean Distances and Sphere Representations
We extend recent results of Abdo Alfakih, who constructed Colin de Verdière matrices for complements of penny graphs from Euclidean distance...
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Further bounds for the Euclidean operator radius of a pair of operators and their applications
We give several lower and upper bounds for the Euclidean operator radius of two operators on a Hilbert space. We improve some earlier related bounds....
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Euclidean minima of algebraic number fields
In this paper, we use some of our previous results to improve an upper bound of Bayer–Fluckiger, Borello, and Jossen on the Euclidean minima of...
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Integrable Mechanical Billiards in Higher-Dimensional Space Forms
In this article, we consider mechanical billiard systems defined with Lagrange’s integrable extension of Euler’s two-center problems in the Euclidean...
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Variational Analysis of Norm Cones in Finite Dimensional Euclidean Spaces
A norm cone in a finite dimensional Euclidean space is the epigraph of a norm. Many important practical optimization problems are formulated as norm...
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Analytic Functionals in Euclidean Space
The aim, in Part II of this book, is to describe, in as simple terms as the author was able to, the theory of hyperfunctions in...
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On the Geometry of Finite Homogeneous Subsets of Euclidean Spaces
This survey is devoted to results recently obtained on finite homogeneous metric spaces. One of the main subjects of discussion is the classification...
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Determining homology of an unknown space from a sample
The homology of an unknown subspace of Euclidean space can be determined from the intrinsic Čech complex of a sample of points in the subspace,...
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Fourier Quasicrystals and Distributions on Euclidean Spaces with Spectrum of Bounded Density
We consider temperate distributions on Euclidean spaces with uniformly discrete support and locally finite spectrum. We find conditions on...
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A Note About a Caffarelli–Kohn–Nirenberg Type Inequality for Euclidean Submanifolds
In the seminal paper, Michael and Simon (Comm Pure Appl Math 26:361–379, 1973) generalized the celebrated Sobolev inequality for submanifolds into...
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Some extremal problems for polygons in the Euclidean plane
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of...
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Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions
We introduce a stochastic analysis of Grassmann random variables suitable for the stochastic quantization of Euclidean fermionic quantum field...
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A Banach—Stone Type Theorem for Space of Vector-Valued Differentiable Maps
This article describes the surjective linear isometries between spaces of p -times differentiable maps from a domain of the Euclidean space into a...