Results 11 to 20 of about 81,509 (95)

Extending Whitney's extension theorem: nonlinear function spaces [PDF]

open access: yes, 2020
We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains $C$, with non-smooth boundary, in possibly non-compact manifolds.
Roberts, David Michael   +1 more
core   +4 more sources

Controllability on infinite-dimensional manifolds [PDF]

open access: yes, 2012
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected ...
A. Isidori   +61 more
core   +3 more sources

Universal arrows to forgetful functors from categories of topological algebra [PDF]

open access: yes, 1992
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
core   +2 more sources

Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]

open access: yes, 2015
In this article character groups of Hopf algebras are studied from the perspective of infinite-dimensional Lie theory. For a graded and connected Hopf algebra we construct an infinite-dimensional Lie group structure on the character group with values in ...
Bogfjellmo, Geir   +2 more
core   +3 more sources

Differentiable mappings on products with different degrees of differentiability in the two factors [PDF]

open access: yes, 2014
We develop differential calculus of $C^{r,s}$-mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations in Banach spaces depending on a parameter in a locally convex ...
Alexander Schmeding   +34 more
core   +4 more sources

Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]

open access: yes, 2002
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm   +22 more
core   +2 more sources

Twisted K-theory, K-homology and bivariant Chern-Connes type character of some infinite dimensional spaces

open access: yes, 2013
We study the twisted K-theory and K-homology of some infinite dimensional spaces, like SU(\infty), in the bivariant setting. Using a general procedure due to Cuntz we construct a bivariant K-theory on the category of separable \sigma-C^*-algebras that ...
Mahanta, Snigdhayan
core   +1 more source

A generalisation of Nash's theorem with higher-order functionals [PDF]

open access: yes, 2013
The recent theory of sequential games and selection functions by Mar- tin Escardo and Paulo Oliva is extended to games in which players move simultaneously.
Hedges, Julian
core   +2 more sources

Infinite dimensional moment problem: open questions and applications

open access: yes, 2017
Infinite dimensional moment problems have a long history in diverse applied areas dealing with the analysis of complex systems but progress is hindered by the lack of a general understanding of the mathematical structure behind them.
Infusino, Maria, Kuhlmann, Salma
core   +1 more source

Overview of (pro-)Lie group structures on Hopf algebra character groups

open access: yes, 2017
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum field theory, and numerical analysis.
A Connes   +47 more
core   +1 more source

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