Results 61 to 70 of about 6,505 (255)

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

open access: yesMathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

Carleson Measure and Tent Spaces on the Siegel Upper Half Space

open access: yesAbstract and Applied Analysis, 2012
The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed.
Kai Zhao
doaj   +1 more source

MRI of Neurogenic Human Motor Units Following Poliomyelitis

open access: yesMuscle &Nerve, EarlyView.
ABSTRACT Introduction/Aims Surviving motor units in neurogenic diseases demonstrate collateral reinnervation. Scanning electromyography (EMG) reveals normal motor unit corridor length, but with “silent regions,” suggesting that reinnervation does not result in increased motor unit size but may increase motor unit complexity.
Stuart Maitland   +6 more
wiley   +1 more source

An objective Bayesian method for including parameter uncertainty in ensemble model output statistics

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
Conventional model output statistics and ensemble model output statistics methods for calibrating ensemble forecasts lead to severe underestimation of the probabilities of ensemble extremes (in blue). This is because they ignore statistical parameter uncertainty.
Stephen Jewson   +4 more
wiley   +1 more source

Liquid Phase TEM of Diffusing Emulsion Droplets

open access: yesSmall, EarlyView.
Motion of emulsion droplets was observed via in situ liquid phase transmission electron microscopy. Analysis revealed that the motion is self‐affine and influenced by multiple stochastic processes, as well as a fractal landscape created by the electron beam.
Maria A. Vratsanos   +4 more
wiley   +1 more source

Branching Geodesics of the Gromov-Hausdorff Distance

open access: yesAnalysis and Geometry in Metric Spaces, 2022
In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
doaj   +1 more source

Physics‐Driven Deep Neural Networks for Solving the Optimal Transport Problem Associated With the Monge–Ampère Equation

open access: yesCAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
wiley   +1 more source

Hausdorff closed extensions of pre-uniform spaces

open access: yesApplied General Topology, 2012
The family of densely finite open covers of a Hausdorff space X determines a completable pre-uniformity on X and the canonical completion X is Hausdorff closed.
Adalberto García-Máynez   +1 more
doaj   +1 more source

β-Prime Spectrum of Stone Almost Distributive Lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
The notion of boosters and β-filters in stone Almost Distributive Lattices are introduced and their properties are studied, utilizing boosters to characterize the β-filters.
Rafi N., Bandaru Ravi Kumar
doaj   +1 more source

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