Results 81 to 90 of about 43,621 (220)

Functional analysis on two-dimensional local fields

, 2013
We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
core   +1 more source

On the completeness of the space OC$\mathcal {O}_C$

Mathematische Nachrichten, Volume 298, Issue 8, Page 2740-2748, August 2025.
Abstract We explicitly prove the compact regularity of the LF$\mathcal {LF}$‐space of double sequences limk→(s⊗̂(ℓp)k)≅limk→(s⊗̂(c0)−k)$ {\lim _{k\rightarrow }} (s\widehat{\otimes }(\ell ^p)_{k}) \cong {\lim _{k\rightarrow }}(s\widehat{\otimes }(c_0)_{-k})$, 1≤p≤∞$1\le p\le \infty$.
Michael Kunzinger, Norbert Ortner
wiley   +1 more source

On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets

, 2005
Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalized delta functionals and operator kernels as elements of dual spaces.
Garetto, Claudia, Hoermann, Guenther
core   +3 more sources

Structure of Lower Tails in Sparse Random Graphs

Random Structures &Algorithms, Volume 67, Issue 1, August 2025.
ABSTRACT We study the typical structure of a sparse Erdős–Rényi random graph conditioned on the lower tail subgraph count event. We show that in certain regimes, a typical graph sampled from the conditional distribution resembles the entropy minimizer of the mean field approximation in the sense of both subgraph counts and cut norm.
Byron Chin
wiley   +1 more source

Examples of differentiable mappings into non-locally convex spaces

, 2003
Examples of differentiable mappings into real or complex topological vector spaces with specific properties are given, which illustrate the differences between differential calculus in the locally convex and the non-locally convex case.
Glockner, Helge
core  

Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]

, 2000
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Troitsky, Vladimir G.
core  

Wasserstein Centroid‐Based Binary Classification for Distributional Data

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 18, Issue 4, August 2025.
ABSTRACT We introduce a binary classification method for analyzing random objects in a non‐linear space. Unlike traditional classification approaches that maximize the mean difference between groups and minimize within‐group variance based on Euclidean distance, we consider the distance that accounts for dissimilarities between two random objects under
Seokgeon Jang, Sanghun Jeong, Hojin Yang, Jeffrey S. Morris   +3 more
wiley   +1 more source

Differentiable mappings between spaces of sections [PDF]

, 2013
In this work, various versions of the so-called Omega-Lemma are provided, which ensure differentiability properties of pushforwrds between spaces of C^r-sections (or compactly supported C^r-sections) in vector bundles over finite-dimensional base ...
Glockner, Helge
core  

Mint: Discretely Integrable Moments for Symmetric Frame Fields

Computer Graphics Forum, Volume 44, Issue 5, August 2025.
Abstract This paper studies the problem of unconstrained (e.g. not orthogonal or unit) symmetric frame field design in volumes. Our principal contribution is a novel (and theoretically well‐founded) local integrability condition for frame fields represented as a triplet of symmetric tensors of second, fourth, and sixth order.
J. Vekhter, Z. Chen, E. Vouga
wiley   +1 more source

Generalizations of Rolle’s Theorem

Mathematics
The classical Rolle’s theorem establishes the existence of (at least) one zero of the derivative of a continuous one-variable function on a compact interval in the real line, which attains the same value at the extremes, and it is differentiable in the ...
Alberto Fiorenza, Renato Fiorenza
doaj   +1 more source