Results 11 to 20 of about 85,942 (221)

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

, 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, Schmeding, Alexander   +1 more
core   +4 more sources

Controllability on infinite-dimensional manifolds [PDF]

, 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, A. Kriegl, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.A. Agrachev, A.J. Krener, A.M. Bloch, C. Carathéodory, C. Lobry, C. Lobry, D.L. Elliot, E. Heintze, E.D. Sontag, F. Bullo, G. Frobenius, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Hermes, H. Jarchow, H. Nijmeijer, H. Omori, H. Omori, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, H.J. Sussmann, Irina Markina, J. Eells, J. Eells, J. Milnor, M. Kawski, M. Kawski, M. Kawski, M. Kawski, M. Kawski, Mahdi Khajeh Salehani, P. Brunovsky, P.E. Crouch, P.I. Dudnikov, P.K. Rashevsky, R. Hermann, R. Hermann, R. Montgomery, R. Palais, R.-M. Bianchini, R.-M. Bianchini, R.E. Kalman, R.E. Kalman, R.E. Kalman, R.S. Hamilton, R.W. Brockett, S. Yamamuro, V. Jurdjevic, V.G. Boltyanski, V.V. Vagner, W.-L. Chow   +61 more
core   +3 more sources

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

, 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]

, 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, Dahmen, Rafael, Schmeding, Alexander   +2 more
core   +3 more sources

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source

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

, 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, Antoine J P, Antoine J P, Antoine J P, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Bohm A, Flato M, Hille E, Komura T, Nagel B, Nelson E, Pietsch A, Roberts J E, Robinson D, Robinson D, Rusinek J, S Wickramasekara, Simon J, Yosida K   +22 more
core   +2 more sources

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

, 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, Alzaareer, Amann, Außenhofer, Bertram, Biller, Bochnak, Dahmen, Engelking, Franklin, Frölicher, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Glöckner, Hamilton, Hamza Alzaareer, Keller, Kelley, Kriegl, Kriegl, Lang, Michor, Milnor, Nagel, Neeb, Neeb, Omori, Salmasian, Schmeding, Seip, Steenrod, Wockel   +34 more
core   +4 more sources

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

, 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

Duality for convex monoids [PDF]

, 2015
Every C*-algebra gives rise to an effect module and a convex space of states, which are connected via Kadison duality. We explore this duality in several examples, where the C*-algebra is equipped with the structure of a finite-dimensional Hopf algebra ...
Roumen, Frank, Roy, Sutanu
core   +2 more sources

Infinite dimensional moment problem: open questions and applications

, 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