Results 11 to 20 of about 81,509 (95)
Extending Whitney's extension theorem: nonlinear function spaces [PDF]
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
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Controllability on infinite-dimensional manifolds [PDF]
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
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Universal arrows to forgetful functors from categories of topological algebra [PDF]
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.
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Character groups of Hopf algebras as infinite-dimensional Lie groups [PDF]
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
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Differentiable mappings on products with different degrees of differentiability in the two factors [PDF]
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]
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
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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
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A generalisation of Nash's theorem with higher-order functionals [PDF]
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
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Infinite dimensional moment problem: open questions and applications
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
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Overview of (pro-)Lie group structures on Hopf algebra character groups
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
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