Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Wengenroth, Jochen"'
We give streamlined proofs of theorems of S.\ Smirnov about the decomposition of vector fields of measures into curves.
Externí odkaz:
http://arxiv.org/abs/2405.13406
We consider the space of real-valued continuously differentiable functions on a compact subset of a euclidean space. We characterize the completeness of this space and prove that the space of restrictions of continuously differentiable functions on t
Externí odkaz:
http://arxiv.org/abs/2003.09681
We introduce sufficient as well as necessary conditions for a compact set $K$ such that there is a continuous linear extension operator from the space of restrictions $C^\infty(K)=\lbrace F|_K: F\in C^\infty(\mathbb R)\rbrace$ to $C^\infty(\mathbb R)
Externí odkaz:
http://arxiv.org/abs/1611.06808
The diametral dimension is an important topological invariant in the category of Frechet spaces which has been used, e.g., to distinguish types of Stein manifolds. We introduce variants of the classical definition in order to solve an old conjecture
Externí odkaz:
http://arxiv.org/abs/1604.04375
Autor:
Larcher, Julian, Wengenroth, Jochen
A. Grothendieck proved at the end of his thesis that the space of slowly increasing functions and the space of rapidly decreasing distributions are bornological. Grothendieck's proof relies on the isomorphy of these spaces to a sequence space and we
Externí odkaz:
http://arxiv.org/abs/1406.0411
We prove that for a strongly continuous semigroup on the Fr\'echet space of all scalar sequences, its generator is a continuous linear operator and that the semigroup can be represented as exp(tA) where the exponential series converges in a very stro
Externí odkaz:
http://arxiv.org/abs/1309.4946
For a compact set, we characterize the existence of a linear extension operator E for the space of Whitney jets without loss of derivatives, that is, E satisfies the best possible continuity estimates: The supremum of all partial derivatives up to or
Externí odkaz:
http://arxiv.org/abs/1304.2928
Autor:
Wengenroth, Jochen
Publikováno v:
Proceedings of the American Mathematical Society, 1999 Mar 01. 127(3), 737-744.
Externí odkaz:
https://www.jstor.org/stable/119005
